# African men with a doctorate in mathematics 1

The International and African Mathematical Union Commission on the History of Mathematics in Africa produced a Special Issue of their

The list below contains those whose PhDs were gained between 1923 and 1981. It is ordered chronologically and then alphabetically inside each year.

An alphabetical list of African men PhDs is at THIS LINK

*AMUCHMA Newsletter***30**in 2005 which listed people born in Africa or citizens of an African country who had been awarded a doctorate in mathematics or mathematics education up to 2005. We give below a version of this list containing only men to which we have made some corrections and added biographical data for those being awarded the degree up to 1981.The list below contains those whose PhDs were gained between 1923 and 1981. It is ordered chronologically and then alphabetically inside each year.

An alphabetical list of African men PhDs is at THIS LINK

**Ali Mostafa MOSHARRAFA (11.07.1898-16.01.1950)**

**Country:**Egypt

**Year:**1923.

**Degree:**Ph.D.

**Thesis title:**The Quantum Theory of Stark and Zeeman Effects.

**University:**University of London (UK).

**Advisor:**Owen W. Richardson.

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**Year:**1924.

**Degree:**D.Sc.

**University:**University of London (UK).

**Biographical Data:**Access his biography at THIS LINK.

**Caleb GATTEGNO (11.11.1911-28.07.1988)**

**Country:**Egypt

**Year:**1937.

**Degree:**Ph.D.

**Thesis title:**Les cas essentiellement géodésiques des équations de Hamilton-Jacobi intégrables par séparation des variables [The essentially geodesic cases of Hamilton-Jacobi equations integrable by the separation of variables]

**University:**Basle University (Switzerland).

**Biographical Data:**He was born on 11 November 1911.

Access his biography at THIS LINK.

**Attiya Abd-El-Salam ASHOUR (b. 13.09.1924-17.04.2017)**

**Country:**Egypt

**Year:**1948.

**Degree:**Ph.D.

**Thesis title:**The Reduction of Electric Currents in Non-uniform Thin Plane Sheets and Spherical Shells, Having Special Distributions of Conductivity with Application of Geomagnetism.

**University:**University of London (UK).

**Advisor:**Albert T. Price.

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**Year:**1967.

**Degree:**D.Sc.

**University:**University of London (UK).

**Biographical Data:**Access his biography at THIS LINK.

**Chike Edozien Umuezei OBI (21.04.1921-13.03.2008)**

**Country:**Nigeria

**Year:**1950.

**Degree:**Ph.D.

**Thesis title:**Periodic Solutions of Non-linear Differential Equations of Second Order.

**University:**University of Cambridge (Cambridge, UK).

**Advisors:**Mary Lucy Cartwright and J. E. Littlewood.

**Biographical Data:**Access his biography at THIS LINK.

**Hanno RUND (26.10.1925-05.01.1993)**

**Country:**South Africa

**Year:**1950.

**Degree:**Ph.D.

**Thesis title:**Finsler Spaces Considered as Generalized Minkowskian Spaces.

**University:**University of Cape Town (South Africa).

**Advisor:**Christian Pauc.

**Biographical Data:**Rund was a German mathematician who studied and worked for part of his career in South Africa.

Access his biography at THIS LINK.

**Hendrik Jacobus SCHUTTE (b. 01.05.1924)**

**Country:**South Africa

**Year:**1952.

**Degree:**Ph.D.

**Thesis title:**Oor algebraïse uitbreidinge van primêre ringe [About algebraic extensions of prime rings.

**University:**Rijksuniversiteit Leiden (Netherlands).

**Advisor:**Hendrik Kloosterman.

**Biographical Data:**He worked at Rhodes University, Grahamstown, South Africa and later at the University of Stellenbosch, South Africa. Published around 10 papers including*Polynomials for which the Galois group is imprimitive*(Afrikaans) (1953),*A theorem on the divisibility of polynomials*(Afrikaans) (1954),*Certain classes of ideals in group rings*(1980),*Transcendental and algebraic extensions of commutative rings*(1988), and*Primitive elements for commutative ring extensions*(Afrikaans) (1991).

He also published a number of books including*On algebraic extensions of prime rings*(Afrikaans) (7 editions between 1952 and 1960),*Linear algebra and geometry*(Afrikaans) (1961), and*A course in linear algebra and geometry*(1972).

**Adegoke OLUBUMMO (19.04.1923-26.10.1992)**

**Country:**Nigeria

**Year:**1955.

**Degree:**Ph.D.

**Thesis title:**Studies in the Theory of Linear Spaces.

**University:**University of Durham (Newcastle-Upon-Tyne, UK).

**Advisor:**Werner Rogosinski.

**Biographical Data:**Access his biography at THIS LINK.

**James Ray VANSTONE (03.08.1933-09.04.2001)**

**Country:**South Africa

**Year:**1959.

**Degree:**Ph.D.

**Thesis title:**Generalized Metric Differential Geometry

**University:**University of Natal (Durban, South Africa).

**Advisor:**Hanno Rund.

**Biographical Data:**Access his biography at THIS LINK.

**James Okoye Chucuka EZEILO (17.01.1930-04.01.2013)**

**Country:**Nigeria

**Year:**1959.

**Degree:**Ph.D.

**Thesis title:**Some topics in the theory of non-linear differential equations of the third order.

**University:**University of Cambridge (Cambridge, England UK).

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**Year:**1989.

**Degree:**D.Sc. honoris causa.

**University:**University of Maiduguri (Nigeria).

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**Year:**1995.

**Degree:**D.tech. honoris causa.

**University:**Federal University of Technology (Akure, Nigeria).

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**Year:**1996

**Degree:**D.Sc. honoris causa.

**University:**University of Nigeria (Nsukka, Nigeria).

**Biographical Data:**Access his biography at THIS LINK.

**Ismael Jacob MOHAMED (27.07.1930-06.07.2013)**

**Country:**South Africa

**Year:**1960.

**Degree:**Ph.D.

**Thesis title:**On Series of Subgroups Related to Groups of Automorphisms.

**University:**University of London (UK).

**Advisor:**Kurt Hirsch.

**Biographical Data:**Access his biography at THIS LINK.

**Victor Omololu OLUNLOYO (b. 14.04.1935)**

**Country:**Nigeria

**Year:**1961.

**Degree:**Ph.D.

**Thesis title:**On the Numerical Determination of the Solutions of Eigenvalue Problems of the Sturm-Liouville Type.

**University:**University of St Andrews (Scotland).

**Biographical Data:**Access his biography at THIS LINK.

**Chukuka OKONJO (21.06.1928)**

**Country:**Nigeria

**Year:**1962.

**Degree:**Dr.rer.nat.

**Thesis title:**Über stationäre Null-Eins-Prozesse [About stationary 0-1-processes].

**University:**Universität zu Köln (Germany).

**Advisors:**Ewald Burger and Johann Pfanzagl.

**Biographical Data:**Access his biography at THIS LINK.

**Andries Petrus J. VAN-DER-WALT**

**Country:**South Africa

**Year:**1963.

**Degree:**Ph.D.

**Thesis title:**'n Bydrae tot die nie-kommutatiewe ideaalteorie [Contribution to a non-commutative theory of ideals].

**University:**Potchefstroomse Universiteit (South Africa).

**Advisor:**Hendrik Schutte.

**Biographical Data:**He worked at the Technological University Delft in The Netherlands, and Potchefstroomse Universiteit, the Rand Afrikaans University, and the University of Stellenbosch in South Africa. He has published around 40 papers including*Contributions to ideal theory in general rings*(1964),*Prime ideals and nil radicals in near-rings*(1964),*On the Levitzki nil radical*(1965),*Matrix near-rings*(1986),*On group near-rings*(1989),*Homogeneous maps as piecewise endomorphisms*(1992),*A shrinking lemma for random forbidding context languages*(2000),*Bag context tree grammars*(2008) and*Necessary conditions for subclasses of random context languages*(2013).

He was President of the South African Mathematical Society in 1987 and the following is a report on his presidential address: "In his Presidential Address, "Die Wiskundige en Politiek", delivered at the 1987-AGM of the South African Mathematical Society at Stellenbosch, van der Walt, briefly sketched the extent to which the South African mathematician in performing his task, had been affected by the political dispensation of the time. He mentioned that the number of countries to which we as South Africans scientist may not travel or in which we were just very unwelcome guests was steadily increasing.

The South African Mathematical Society belonged to the International Council of Scientific Unions through the International Mathematical Union, and the International Council of Scientific Unions prescribed that all conferences held under its auspices must be open to all without consideration of, amongst other things, citizenship, and that therefore such conferences may be held only in countries which are prepared to admit everyone to the conference concerned. But, not all conferences were held under the aegis of the International Council of Scientific Unions. Furthermore, even the attendance of International Council of Scientific Unions conferences were not without problems: Delays occurred in the issuing of visas, as when a passport with a valid visa was sent to the applicant by surface mail instead of airmail. Even in the 1980s a considerable number of foreign mathematicians still visited South Africa. The Visitor's Programme of the South African Mathematical Society was under pressure not only because prominent mathematicians refused on principle to come to South Africa, but also because those who did come sometimes found that this was regarded by their colleagues as a dubious action which drew criticism and had to be defended. The President was of the opinion that the attitude of the South African mathematicians under these circumstances should be to:

(i) raise their level of scientific practice - quality is always more difficult to ignore summarily; (ii) persevere and spare no effort to make their contribution worldwide; members were strongly advised to approach the South African International Council of Scientific Unions Secretariat for advice and assistance, especially in the case of International Council of Scientific Unions conferences; (iii) receive in South Africa as many visitors of high standing as possible; (iv) play a more active role in politics."

He died on 31 December 2008.

**Wessel J. KOTZE**

**Country:**South Africa

**Year:**1964.

**Degree:**Ph.D.

**Thesis title:**Iterative Solution of Equations in Linear Topological Spaces.

**University:**McGill University (Canada).

**Advisor:**Hans Wilhelm Eduard Schwerdtfeger.

**Biographical Data:**He was awarded an M.Sc (1961) from McGill University, Canada, for the thesis*On infinitely many algorithms for the solution of an analytic equation*. An Abstract appeared in the Bulletin of the Canadian Mathematical Society with the following note: "It is not customary to abstract Master's theses for the Bulletin, but the Editors feel that there is sufficient originality here to justify a departure from the usual policy."

He worked at the University of Cape Town and Rhodes University, Grahamstown, South Africa. He published over 15 papers including*Notes on numerical analysis. IV. On accelerating iteration procedures with superlinear convergence*(1964),*Approximately normal function algebras which are local*(1980),*Quasicoincidence and quasi-fuzzy Hausdorff*(1986),*Fuzzy sobriety and fuzzy Hausdorff*(1997) and*Lifting of sobriety concepts with particular reference to (L, M)-topological spaces*(2003).

The following obituary was published by Rhodes University: "It is with sadness that we inform staff members of the death of Professor Emeritus Wesley Kotzé, former head of the department of Mathematics, Rhodes University. Professor Kotzé passed away at his home in Somerset West on Wednesday, 3rd May, 2017. He was 79 years old. Wessel Johannes Kotzé was born at Williston but grew up and attended school in Tulbagh, the only son of a music teacher as mother and the Town Clerk as father. After a brilliant matriculation pass, he attended Stellenbosch University and obtained B.Sc. (majoring in mathematics and chemistry), B.Sc. (Hons) and M.Sc. degrees in mathematics, cum laude. He was awarded his Ph.D. in mathematics at McGill University in Montreal, Canada where he taught for a while before returning to South Africa on accepting a post at the University of Cape Town.

In 1983, he was appointed by Rhodes University as head of the Department of Mathematics (Pure and Applied), a post he held until retiring at the end of 2003. During his time at Rhodes University, Prof Kotzé also served as the first Dean of Research, as University Orator and became the founder of the Rhodes University Mathematics Education Project. He was awarded a medal for the Advancement of Mathematics in South Africa by the South African Mathematical Society. He also served as the Managing Editor of 'Questiones Mathematicae', the accredited journal and official organ of the South African Mathematical Society. He was a prominent researcher achieving an NRF B rating.

Starting out as a "crisp" mathematician in the field of functional analysis, in which he had some good publications, his interest turned to "fuzzy" mathematics, especially fuzzy topology. At Rhodes University, he established a school of fuzzy mathematics in the department which became one of the top research institutes in the field. As a former student and colleague, Professor Mike Burton relates that "He knew every established fuzzy mathematician in the world. Literally. His many connections and organisational abilities rapidly grew the school and it produced many MSc and PhD graduates". Some of these are prominent mathematicians such as Prof Burton himself and Drs Tomasz Kubiak, Venkat Murali, Babington Makamba and Pavel Lubczonok. Dr Phetiwe Matutu-Mabizela, the first black woman to graduate with a Ph.D. in mathematics in South Africa, did her Master's degree with Prof Kotzé. His reputation also drew many prominent international mathematicians to visit Rhodes University.

Prof Kotzé also had a great love and knowledge of classical music and fine art. He was a long serving chairperson of the Grahamstown Music Society. Renowned for his discernment, he had a fabulous collection of paintings, prints, sculpture and ceramics of prominent South African and international artists as well as a superb collection of books and furnishings. After retirement, he returned to Cape Town and settled in Marina da Gama. He pursued his love of mathematics by teaching at the African Institute for Mathematical Sciences and of music by contributing to Classical Music Radio. During the last two years, he lived in Somerset West. He suffered from Parkinson's disease, but died suddenly, probably of a heart attack while in the company of dear friends who could assist and comfort him in that extreme hour of need. A liberal man of many gifts, Prof Kotzé made a number of close friends, some of whom were or are prominent artists, musicians and writers. He also, famously, was quick to perceive slights and did not suffer fools gladly: a recipe for a number of choice enemies as well."

**Hermanus H. LEMMER**

**Country:**South Africa

**Year:**1964.

**Degree:**D.Sc.

**Thesis title:**Verdelingsvrye toetsingsmetodes vir die probleem van twee of meer steekproewe.

**University:**University of Pretoria (South Africa).

**Advisor:**David A Stoker.

**Biographical Data:**He worked at the Rand Afrikaans University, Johannesburg, South Africa. He has published around 70 articles on statistics, particularly the statistics of cricket. He publishes papers in statistics journals and in research in sports journals. He has published around 70 papers including*A distribution-free analysis of variance technique for block designs*(1968),*From ordinary to Bayesian shrinkage estimators*(1981),*A test for the median, combining the sign and signed-rank tests*(1987),*Estimation of the batting ability of South African international one-day cricket players*(2001),*The allocation of weights in the calculation of batting and bowling performance measures*(2007),*Performance measures for wicket keepers in cricket*(2011) and*A method to measure choking in cricket*(2015).

He is a fellow of the South African Statistical Association and was president in 1974. The following biography appears in his 2006 paper*Krieketprestasiemaatstawwe. Cricket performance measures*: "Hoffie Lemmer

**John Peter Louis KNOPFMACHER (20.01.1937-29.05.1999)**

**Country:**South Africa

**Year:**1965.

**Degree:**Ph.D.

**Thesis title:**Extensions in Varieties of Groups and Algebras.

**University:**University of Manchester (UK).

**Advisor:**John Frank Adams.

**Biographical Data:**Access his biography at THIS LINK.

**John WAINWRIGHT**

**Country:**South Africa

**Year:**1965.

**Degree:**Ph.D.

**Thesis title:**Invariance Properties of Variational Problems Involving Spinors.

**University:**University of South Africa (Pretoria, South Africa).

**Advisor:**Hanno Rund.

**Biographical Data:**He worked at the University of Waterloo, Canada, and the University of Cape Town, Rondebosch, South Africa. He is a member of the International Astronomical Union in Division J Galaxies and Cosmology. He is a past member of Division VIII Galaxies and the Universe (until 2012) and of Commission 47 Cosmology (until 2015). He has published around 70 papers including*A class of algebraically special perfect fluid space-times*(1970),*Geometric properties of neutrino fields in curved spacetime*(1971),*Some exact cosmological models with gravitational waves*(1979),*Power law singularities in orthogonal spatially homogeneous cosmologies*(1984),*Mathematical cosmology*(1990),*Introduction to dynamical systems*(1994),*Cosmological models from a dynamical systems perspective*(2005),*The dynamics of Lemaître-Tolman cosmologies*(2009), and*Simple expressions for second order density perturbations in standard cosmology*(2014).

He wrote the chapter*Relativistic Cosmology*in the book*G S Hall (ed.), General Relativity. Proceedings of the Forty Sixth Scottish Universities Summer School in Physics, Aberdeen, July 199*5. Here is the Abstract: "These notes contain an introduction to cosmology within the framework of general relativity theory. We discuss the Friedmann-Lemaitre models, with emphasis on the observational parameters, and illustrate the constraints imposed by observations through the use of a cosmological state space. We also characterise the Friedmann-Lemaitre universes within the general class of cosmological models, and discuss their viability as models of the real universe."

He is Professor Emeritus in the Department of Applied Mathematics at the University of Waterloo, Canada.

**Johannes Christiaan DU-PLESSIS**

**Country:**South Africa

**Year:**1965.

**Degree:**Ph.D.

**Thesis title:**Invariance Properties of Variational Principles in General Relativity.

**University:**University of South Africa (Pretoria, South Africa).

**Advisor:**Hanno Rund.

**Biographical Data:**He worked at the University of the Witwatersrand, Johannesburg, South Africa. He published papers including*Tensorial concomitants and conservation laws*(1969),*Polynomial conformal tensors*(1970),*Spin two fields and general relativity*(1972) and*Conformal Killing vector fields on timelike two-surfaces*(1974).

**Duncan H. MARTIN**

**Country:**South Africa

**Year:**1965.

**Degree:**Ph.D.

**Thesis title:**The Local Geometry and Extremal Surfaces of Areal Spaces.

**University:**University of South Africa (Pretoria, South Africa).

**Advisor:**Hanno Rund.

**Biographical Data:**He worked at the University of Natal, Durban, South Africa, and later at the National Research Institute for Mathematical Sciences, Pretoria, South Africa. His papers include*Total convexity for parametric multiple integrals in the calculus of variations*(1970),*On continuous descent functions for polynomial equations*(1976),*Copositive matrices and definiteness of quadratic forms subject to homogeneous linear inequality constraints*(1981),*On the Walach-Zeheb multivariable positivity test*(1983), and*A characterisation of semi-Fredholm operators defined on almost reflexive Banach spaces*(1986).

He was on the editorial board of the journal*Optimal Control Applications & Methods*.

In 2015 he wrote*Useful Flexibilities for African Regional Research and Education Networks*. The paper contains the following Biography: "Duncan Martin was an applied mathematics lecturer and researcher and, from his mid-forties, a general manager of research and ICT services. In 2001 he was appointed as the first CEO of the South African National Research and Education Network, Tertiary Education and Research Network of South Africa, of which he was a founding director. Together with colleagues from Kenya, Malawi, Mozambique and Rwanda, he co-founded the UbuntuNet Alliance in 2006, and served on its Board until his retirement from the Tertiary Education and Research Network of South Africa in January 2013. He now consults to the Alliance and National Research and Education Networks, and is a non-executive director of local companies including E-Schools Network, Internet Service Providers' Association and ZA Central Registry."

**Chan Feng CHAN-MAN-FONG (b. 19.06.1938)**

**Country:**Mauritius

**Year:**1965.

**Degree:**Ph.D.

**Thesis title:**Some stability problems in the theory of flow of elastico-viscous liquids.

**University:**University of Wales (Aberystwyth, UK).

**Advisors:**T.V. Davies and Kenneth Walters.

**Biographical Data:**He was appointed an assistant lecturer at the University College of Wales, Aberystwyth, Wales. He was a visiting Scholar at the University of Delaware, Newark, USA (1966-67). Then he worked at Beijing University, China, the University of Sherbrooke, Sherbrooke, Canada, and Tulane University, New Orleans, USA. He published papers including*The solution of flow problems in the case of materials with memory. II. The stability of plane Poiseuille flow of slightly viscoelastic liquids*(1965),*The explicit form of the differential operator for the Oldroyd rate type constitutive equation*(Chinese) (1984),*Comments on the solutions of boundary value problems in non-Newtonian fluid mechanics*(1996),*Advanced mathematics for applied and pure sciences*(1997),*Perturbation methods, instability, catastrophe and chaos*(1999),*Advanced mathematics for engineering and science*(2003) and*Polar fluid flow between two eccentric rotating cylinders: inertial effects*(2005).

**Alexander Obiefoka Enukora ANIMALU (b. 28.08.1938)**

**Country:**Nigeria

**Year:**1965.

**Degree:**Ph.D.

**Thesis title:**Model Potential in Solids.

**University:**University of Ibadan (Nigeria).

**Advisor:**Volker Heine.

**Biographical Data:**Access his biography at THIS LINK.

**John Harold WEBB (b. 1942)**

**Country:**South Africa

**Year:**1966.

**Degree:**Ph.D.

**Thesis title:**Sequential convergence in locally convex spaces.

**University:**University of Cambridge (UK).

**Advisor:**David John Haldane Garling.

**Biographical Data:**While studying for his doctorate he was at Gonville and Caius College, Cambridge. He published*Perturbation theory for a linear operator*(1967) in which he wrote, "This work was done while I held a Sir Henry Strakosch Memorial Scholarship. I wish to express my sincere thanks to my research supervisor, Dr D J H Garling, for his advice and encouragement." The Sir Henry Strakosch Memorial Scholarship was from the University of Cape Town. He then worked at the University of Cape Town, South Africa. Some of his later work was supported by a grant from the South African Council for Scientific and Industrial Research.

He published around 16 papers including*Linear operators with closed range*(1968),*Lifting convergent sequences with networks*(1971),*Sequentially barrelled spaces*(1973),*Inductively reflexive spaces with extended Schauder decompositions*(1978), and*Subspaces of barrelled spaces*(1980).

He received a Distinguished Teacher Award, the highest accolade awarded to teaching staff at all levels within the University of Cape Town, in 1985.

Two of his Ph.D. students at the University of Cape Town were Neill R C Robertson who was awarded a doctorate for his thesis*Separability and Metrisability in Locally Convex Spaces*(1991), and Tracy S Craig who was awarded a doctorate for her thesis*Promoting Understanding in Mathematical Problem-solving Through Writing: A Piagetian Analysis*(2007).

The following is on the University of Cape Town website (dated 26 February 2008): "The publication of the 150th edition of the high school magazine Mathematical Digest was celebrated in the Department of Mathematics last week. Founded by Emeritus Professor John Webb in 1971, the magazine has appeared quarterly without a break ever since. Way back then, Webb noticed that there was little on mathematics for children to read at school other than textbooks.

'It is strange because in other areas of school work, you watch movies on history, you read poetry and novels, you learn your language at home, you experience music and drama and art outside the school curriculum - but the learning of mathematics is entirely concentrated within the school curriculum,' he says.

Filling this gap, well over 3 000 articles have appeared in the 150 editions of Mathematical Digestsince 1971. They include readable articles on mathematics just outside the school curriculum, anecdotes of famous mathematicians from Pythagoras to Stephen Hawking, news of mathematical Olympiads, puzzles and problems with Sharp calculators offered as prizes.

Today, one copy of every edition of Mathematical Digest is sent free to 2000 high schools across South Africa, with support from the Old Mutual Foundation. With further support from the Western Cape Department of Education, all Dinaledi schools in the Western Cape receive ten copies of every edition."

**S. G. REINACH**

**Country:**South Africa

**Year:**1966.

**Degree:**D.Sc.

**Thesis title:**Distribution-Free Methods in Experimental Design.

**University:**University of Pretoria (South Africa).

**Advisor:**David Johannes Stoker.

**Biographical Data:**He worked at the University of Port Elizabeth, South Africa. He published*A nonparametric analysis for a multiway classification with one element per cell*(1965),*A distribution-free analysis of variance technique for block designs*(1968) and*Multiple testing procedures for the k-sample runs test*(1976). We give the Summary of the 1976 paper: "In this paper simultaneous confidence intervals as well as multiple test procedures are derived for the number of runs in the k-sample runs problem. Some of these procedures depend on the upper alpha-point of the maximum of k equi-correlated unit normal random variables. Tables of critical values are constructed and presented. An application of these methods is illustrated by means of an example."

In this paper there is the following Acknowledgement: "Professors D J Stoker and N A S Crowther are thanked for some fruitful suggestions."

**Daniel Afedzi AKYEAMPONG (24.11.1938- 07.03.2014)**

**Country:**Ghana

**Year:**1966.

**Degree:**Ph.D.

**Thesis title:**Applications of higher symmetry groups to particle physics.

**University:**University of London (UK).

**Advisors:**Abdus Salam and Paul Matthews.

**Biographical Data:**Access his biography at THIS LINK.

**Badie Tawfik Mohamed HASSAN (b. 20.7.1941)**

**Country:**Egypt

**Year:**1967.

**Degree:**Ph.D.

**Thesis title:**The geometry of geodesics in Finsler geometry.

**University:**University of Southampton (UK).

**Advisor:**Frederick Brickell.

**Biographical Data:**He worked at Cairo University, Giza, Egypt. He has published around 12 papers, including*The cut locus of a Finsler manifold*(1973),*Connections associated with linear maps on the induced bundle of a Finsler space. I*(1979),*Hypersurfaces of a Minkowskian space*(1984), and*Gravitation and electromagnetism in Finsler-Lagrange spaces with (alpha, beta)-metrics*(2011).

At the General Assembly of the African Mathematical Union, which took place during the 4th Pan-African Congress of Mathematicians (Ifrane, Morocco, 18-24 September 1995), he was elected treasure of the African Mathematical Union.

**Abdel-Shafy Fahmy OBADA (b. 20.11.1942)**

**Country:**Egypt

**Year:**1967.

**Degree:**Ph.D.

**Thesis title:**Mathematical treatment of microscopic optics.

**University:**University of Manchester (UK).

**Advisor:**Robin K. Bullough.

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**Year:**1994.

**Degree:**D.Sc.

**University:**University of Manchester (UK).

**Biographical Data:**Access his biography at THIS LINK.

**Atu Mensa TAYLOR (d. 1977)**

**Country:**Ghana

**Year:**1967.

**Degree:**D.Phil.

**Thesis title:**Some Problems in Quantum Theory and its Classical Limit.

**University:**University of Oxford (UK).

**Advisor:**John Trevor Lewis.

**Biographical Data:**He lectured at Kwame Nkrumah University of Science and Technology, Kumasi, Ghana for about 30 years until his death in April 1977. He was elected a fellow of the Royal Astronomical Society in 1961, proposed by F K Allotey.

**Sunday Osarumwense IYAHEN (03.10.1937-28.01.2018)**

**Country:**Nigeria

**Year:**1967.

**Degree:**Ph.D.

**Thesis title:**On certain classes of linear topological spaces.

**University:**University of Keele (UK).

**Advisor:**Alexander Robertson.

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**Year:**1987.

**Degree:**D.Sc.

**University:**University of Keele (UK).

**Biographical Data:**Access his biography at THIS LINK.

**Paul Frank CHERENACK (d. 17.01.2002)**

**Country:**South Africa

**Year:**1968.

**Degree:**Ph.D.

**Thesis title:**Homotopy Groups of Algebraic Arcs Found by Smoothed Approximations.

**University:**University of Pennsylvania (USA).

**Advisor:**Andrew Hugh Wallace.

**Biographical Data:**He worked at Indiana University, Bloomington, Indiana, then at the University of Cape Town. He published around 40 papers including*Basic objects for an algebraic homotopy theory*(1972),*Some topological functors arising from algebraic geometry*(1977),*Conditions for cubic spline interpolation on triangular elements*(1984),*Convenient affine algebraic varieties*(1990),*The left exactness of the smooth left Puppe sequence*(1994),*Frölicher versus differential spaces: a prelude to cosmology*(2002), and*Boman's theorem: Strengthened and applied*(2005).

This last paper contains the following tribute: "Paul died after this paper was completed and before it was published. Paul is the primary author. A few brief words of tribute to Paul seems appropriate here. Paul Cherenack was a mathematician of international standing. Born and bred in Philadelphia, USA he attended the famous PENN (the University of Pennsylvania) where he obtained a broad and sound training in mathematics, studying for his Ph.D. in Algebraic Geometry with Andrew Wallace. After a year of research in Germany, where he met Marie-Anna, his wife to be, he came to Cape Town in 1974 to take a position at the University of Cape Town, liked what he saw, stayed and gave of his best to the University and to South Africa.

A true professional, Paul's encyclopaedic knowledge enabled him to teach in widely divergent areas. For years, accepting difficult assignments, he became a mainstay of the Department of Mathematics and Applied Mathematics. A steady stream of Masters and Doctoral students passed through his hands and he was always busy with new and creative work. He had an open door. Students and colleagues made use of it freely, receiving pertinent and friendly advice. Paul would go to special trouble with visiting scholars, taking them for walks and inviting them to his home. His Topologists' map of Cape Town, prepared for the Topology Conference of 1976, defined North as any direction perpendicular to the mountain contour in Rondebosch! A visitor to his home would find it filled with warm-hearted and endearingly eccentric people, scattered between the dogs, books and cats. However, when necessary, Paul could do the work of a builder and landscaper. In Tamboerskloof he laboured until he had changed the course of a mountain stream that threatened to undermine the foundations. A family man, Paul was proud of his attractive and intelligent daughters (Kuni and Genevieve) and he saw to it that they had the best he could provide. All in all, we have lost a good man and friend."

**John Henry SWART (11.02.1940-21.07.2012)**

**Country:**South Africa

**Year:**1969.

**Degree:**Ph.D.

**Thesis title:**The Theory and Application of Canonical Formalisms Associated with the Field Theory of Carathéodory for Multiple Integral Problems in the Calculus of Variations.

**University:**University of South Africa (Pretoria, South Africa).

**Advisor:**Hanno Rund.

**Biographical Data:**The following obituary was written by Kesh Govinder (University of KwaZulu-Natal): "John Henry Swart, Emeritus Professor and former Head of Mathematics, passed away at his Westville home on 21 July 2012. He is survived by his wife Henda (also an Emeritus Professor of Mathematics at the University of KwaZulu-Natal) and their children Christine, Sandra and Gustav. John Swart was born on 11 February 1940 in Kimberley. He grew up in Williston. His undergraduate studies and MSc were completed at Stellenbosch University. In 1969 he obtained his PhD under the supervision of Professor Hanno Rund (who was based at the University 0of South Africa at that time). John's lifelong and infectious enthusiasm for mathematics influenced the community in which he lived and worked for many decades.

His research concerned partial differential equations and biological mathematics. He was an active member of the South African Mathematical Society and served on its executive. He took an interest in local secondary schooling as well, delivering multiple talks at schools and meetings of mathematics teachers. John's association with the University of KwaZulu-Natal began when he was appointed as a lecturer at the former University of Durban-Westville in 1962. He took up a position at the former University of Natal (Durban) in 1965, where he served as Head of the Department of Mathematics and Applied Mathematics from 1980 to 1985. He served two further terms as Head of the School of Mathematical Sciences, from 1993 to 2000.

He gave very extensive service to the university through the Boards of Science and Engineering, as well as Senate, Council and countless university committees, culminating in a term as Pro-Vice Chancellor. He retired from the University of KwaZulu-Natal in 2005. John's vast experience, his forthright and articulate persona, and the breadth of his involvement in university affairs make him an unforgettable figure in the institution's history. As such he will be remembered fondly by colleagues young and old, and by generations of science and engineering students."

**Mohamed SOUISSI (21.02.1915-24.08.2007)**

**Country:**Tunisia

**Year:**1969.

**Degree:**Doctorat d'état.

**Thesis title:**La langue des mathématiques en arabe [Arabic mathematical language].

**University:**Université de la Sorbonne (Paris, France).

**Advisor:**Charles Pellat.

**Biographical Data:**His name is sometimes written as Muhammad Suwisi. He has published around 50 papers including*Un mathématicien tuniso-andalou : al-Qalacd+*(1972),*Le message scientifique d'al-B+rkn+ et sa portée actuelle dans les pays musulmans*(1973),*Impact de Khwârizmî sur l'école mathématique maghrébine et progrès réalisés par cette dernière*(1985), and*La méthode de double fausse position ou méthode des plateaux et son utilisation par les mathématiciens arabes*(1995).

**Benali BENZAGHOU**

**Country:**Algeria

**Year:**1969.

**Degree:**Doctorat d'état.

**Thesis title:**Algèbres de Hadamard [Hadamard algebras].

**University:**Université Paris 7 (France).

**Advisor:**Charles Pisot.

**Biographical Data:**He worked at the University of Sciences and Technology Houari Boumediene, Bab Ezzouar, Algeria, which was founded in 1974. He has published around 15 papers including*Sur l'algèbre des fractions rationnelles de Hadamard*(1968),*Suites d'unité algébriques satisfaisant à une relation de recurrence linéaire*(1971),*Propriétés algébriques de suites différentiellement finie*s (1992),*Nombres de Bell et somme de factorielles*(2004), and*Trace formula for Witt vector rings*(2017).

He served as rector of the university and wrote in 2016: "I am completing my mission as Rector of the University of Sciences and Technology Houari Boumediene. I had the privilege of opening it in 1974 and setting up its organization and teaching while its premises were being built (1974-1979). I had the privilege of leading it for fifteen years (2001-2015)."

**Albert OUEDRAOGO (b. 1935)**

**Country:**Burkina Faso

**Year:**1969.

**Degree:**Doctorat 3ème cycle.

**Thesis title:**Problème inverse de la diffusion et généralisation de l'équation de Marchenko [Inverse problem of diffusion and generalisation of Marchenko's equation].

**University:**Université Pierre et Marie Curie - Paris VI (France).

**Advisor:**Jean-Louis Destouches.

**Biographical Data:**He worked at the University of Ouedougou, Burkina Faso. He has published around 10 papers including*Contrôle ponctuel d'un système gouverné par une équation parabolique comportant des masses de Dirac*(1981),*Résolution d'un système gouverné par une équation parabolique fortement non linéaire*(1988),*Sur un problème de dynamique des populations*(2003), and*Sentinelles à deux temps et structure des pollutions non détectables par un ensemble de sentinelles*(2008).

He advised the Ph.D. student Oumar Traoré at the University of Ouedougou, Burkina Faso, who was awarded the degree in 2002 for the thesis*Controles de problemes de dynamique des populations*[Controls in Population Dynamics Problems].

In 2014 he published*Démocratie et cheffocratie ou la quête d'une gouvernance au Burkina Faso*[Democracy and Chiefocracy or the Quest for Governance in Burkina Faso]. He spoke about the work in the Institut Français de Bobo-Dioulasso on Tuesday 29 March 2016. The book highlights the behaviour of Burkinabe rulers vis-à-vis traditional chieftaincy. According to Ouédraogo, these holders of the real power of the regions are forgotten by the politicians and are suddenly solicited to calm the social climate when there a crisis. He argues in the book that the chieftaincy should be saved.

**Boniface Ihemotuonye EKE (06.06.1933-15.11.2015)**

**Country:**Nigeria

**Year:**1969.

**Degree:**Ph.D.

**Thesis title:**Structure of Inseparable Composites.

**University:**Iowa State University (USA).

**Advisor:**Bernard Vinograde.

**Biographical Data:**He was awarded a B.Sc. by Ohio State University, an M.Sc. by the University of Dayton and a Ph.D. by Iowa State University.

He worked at the Institute of Management and Technology, Enugu, Nigeria. Later he worked at Our Saviour Institute of Science, Agriculture and Technology, Enugu, Nigeria and, more recently as a lecturer in mathematics at Morgan State University, Baltimore, USA. He lived at 6011 Cedonia Avenue, Baltimore. He published over 15 papers including*Some remarks on modular field extensions with subbases*(1978),*Some special subfields and generating invariants of transcendental extensions*(1990),*Structure and morphisms of fuzzy algebraic extensions*(1995),*Fuzzy incidence functions*(2003),*A mathematical model for the control of the transmission of genetic diseases using pure fractions*(2008), and*Canonical extensions and direct sums of fuzzy partially ordered sets*(2013).

The Abstract of the 2013 paper reads: "Fuzzy relations are used to create partially ordered sets and lattices contained in this paper. Extensions of partially ordered sets and lattices are examined. The extensions studied include what are called canonical extensions and direct sums. Among the results is one showing that every cover function for a finitary distributive lattice is also a cover function for some nonfinitary distributive lattice. This result shows the necessity of the condition "finitary" that is used in an earlier result to prove the isomorphism of any two finitary distributive lattices which share a common cover function."

**Mohamed Elamin Ahmed EL-TOM (b. 02.10.1941)**

**Country:**Sudan

**Year:**1969.

**Degree:**D. Phil.

**Thesis title:**Numerical Approximation of Functions of One or More Variables.

**University:**Oxford University (UK).

**Advisor:**David Christopher Handscomb.

**Biographical Data:**He was awarded a B.Sc. with first class honours in Mathematics from the University of Leeds, England (1965); a Diploma in Advanced Mathematics from the University of Oxford, England (1966) after submitting a Dissertation and taking courses on Numerical Analysis, Functional Analysis, Group Theory, and Commutative Algebra; a D.Phil. from the University of Oxford, England (1969).

He was a Junior Scholar of the University of Khartoum (1962-65), a Senior Scholar of the University of Khartoum (1965-68) and a Research Fellow at the Center de Calcul, University of Louvain, Belgium (1968-69).

He worked at the University of Khartoum, the New University of Ulster, Coleraine, U.K., European Center for Nuclear Research, Geneva, Switzerland, the University of Khartoum, Qatar University, Sudan Centre for Educational Research, Khartoum, and the Garden City College for Science and Technology, Khartoum, Sudan.

He has published around 50 papers including*Convergence of best L-spline approximations*(1970),*On the approximate calculation of improper multiple integrals*(1973),*On best cubature formulas and spline interpolation*(1979),*On university mathematics curricula in North and North-East African counties*(1986),*The state and future of mathematics education and mathematical research in Africa*(1995),*Higher education in Sudan: Towards a New Vision for a New Era*(2006), and*A proposed research agenda in mathematics education in Africa*(2012).

He is a member/fellow of various organisations: Fellow of the Institute of Mathematics and its Applications, U.K. (1978-), a Fellow of the African Academy of Sciences, Kenya (1986-), a member of the International Centre for Theoretical Physics, Trieste, Italy (1984-89), a member of the Arab Thought Forum, Jordan (1985-), a member of the Mathematical Association of America, USA. (1992-), a member of the American Mathematical Society, USA (1995-) and a Fellow of Sudanese National Academy of Sciences (2007-).

He is married with three children.

**Mahdi ABDELJAOUAD (b. 1942)**

**Country:**Tunisia

**Year:**1970.

**Degree:**Ph.D.

**Thesis title:**On automorphisms and derivations of algebras [A propos des automorphismes et des derivations des algebras].

**University:**University of Washington (Seattle, USA).

**Advisor:**James Jans.

**Biographical Data:**He worked at the Université des Sciences, des Techniques et de Médecine de Tunis, Tunisia. For a time he was head of the Institut Supérieur de l'Education et de la Formation Continue of the Université de Tunis. After a couple of papers on automorphisms, he published a number of article on the history of mathematics including*Le manuscrit mathématique de Jerba: une pratique des symboles algébriques maghrébins en pleine maturité*(2002),*Proof in Arabian algebra*(2002),*The first Egyptian modern mathematics textbook*(20011) and*Émergence d'un savoir mathématique euro-islamique: L'Offrande du converti pour ranimer la flamme éteinte*(2016).

He was a co-advisor of Faïza Chellougui who was awarded a Ph.D. in 2004 for the thesis*L'utilisation des quantificateurs universel et existentiel en première année universitaire, entre l'explicite et l'implicite*[Using universal and existential quantifications in first year university, switching between explicit and implicit usages].

Mahdi Abdeljaouad's webpage gives the following information: "I am a retired Full Professor from the University of Tunis. My research and teaching interests include non commutative algebra, teaching mathematics at a distance, and mathematical education. I am particularly active in the history of Arabic mathematics and the history of mathematics teaching in Arabic/Islamic countries. I have published two critical editions of ancient Arabic mathematics manuscripts and several research papers on Arabic mathematics. I have edited four proceedings of*Colloques maghrebins sur l'histoire des mathématiques arabes*(1988-1994-2004-2010)."

**Georges Edward NJOCK (b. 07.11.1940)**

**Country:**Cameroon

**Year:**1970.

**Degree:**Ph.D.

**Thesis title:**Exploration de la notion geometrique d'aire des polygones par un groupe de transformations du plan euclidien [Exploration of the geometrical notion of the area of polygons by a group of transformation of the Euclidean plane].

**University:**Université Laval (Quebec, Canada).

**Advisor:**Fernand Lemay.

**Biographical Data:**He was born in Foulassi, Cameroon, the son of Simon Pierre Njock Bôt and Cecile Ngo Kingnjock. He received degrees from the University of Arizona (B.S. 1965, M.A. 1967) and the doctorate from Université Laval, Quebec, Canada in 1970. He was an Adjunct Professor at Laval (1968-1971) then an Adjunct Professor at the University of Yaoundé, Cameroon (1971-1976). He served as assistant secretary general of the Association African Universities, Accra, Ghana (1976-1977), then professor of mathematics at the University of Yaoundé I since 1977.

He married Barbara Jean Elliott on 19 March 1966; they have four children: Jean-Pierre, Cècile Minette, George Edward II, Michael Emmanuel.

He has written a number of papers including*Caractérisation catégorielle de limite directe*(1975),*On the properties of the endomorphisms of residually finite groups*(1999), and*Fuzzy ideals and weak ideals in BCK-algebras*(2001). He has published two books,*Théorie de Galois et Applications*(1999) and*Introduction à la Géométrie projective*(1999).

His hobbies are piano, walking, swimming, travel, choral music.

**Arsène RAMAMONJISOA**

**Country:**Madagascar

**Year:**1970.

**Degree:**Doctorat 3ème cycle.

**Thesis title:**Etudes sur l'analyse de variance multidimensionnelle: de la théorie aux applications.

**University:**Université Paul Sabatier (Toulouse, France).

**Jekeri OKEE (02.02.1934-03.08.2005)**

**Country:**Nigeria

**Year:**1970.

**Degree:**Ph.D.

**Thesis title:**Untersuchungen über den einstelligen intuitionistischen Pr.dikatenkalkül der ersten Stufe.

**University:**Humboldt-Universität (Berlin, Germany).

**Advisor:**Karl Schröter.

**Biographical Data:**He worked at Makerere University Kampala, Uganda. He has published papers including*On the independence of the fundamental operations of the algebra of species*(1973),*Completeness of the algebra of species*(1973),*A semantical proof of the undecidability of the monadic intuitionistic predicate calculus of the first order*(1975),*Completeness of the algebra of species*(1976), and*A species algebraic interpretation of the intuitionistic propositional calculus*(1976).

The Introduction to the second of these 1976 papers begins: "The topological and lattice-theoretical interpretations of the intuitionistic propositional calculus differ from the set algebraic interpretation of the classical two-valued propositional calculus in that, in the former cases, the intuitionistic propositional calculus is interpreted by means of classical theories which are definable in the second order classical predicate calculus, but, in the latter, the classical propositional calculus is interpreted by means of a classical theory which is definable in the monadic classical predicate calculus of the first order. The algebra of species is the intuitionistic analogy to the Boolean algebra of sets. The aim of this article is to give a species-algebraic interpretation of the intuitionistic propositional calculus analogous to the set-algebraic interpretation of the classical propositional calculus."

His last residence is given as San Jose, California, USA.

**Kenneth R. HUGHES**

**Country:**South Africa

**Year:**1970.

**Degree:**Ph.D.

**Thesis title:**Foundations of Homotopy Theory.

**University:**University of Cape Town (South Africa).

**Advisors:**Keith Hardie and David Epstein.

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**Year:**1975.

**Degree:**Ph.D.

**Thesis title:**Homotopy Theory of Sheaves and Cosheaves.

**University:**University of Warwick (UK.

**Advisors:**Keith Hardie and David Epstein.

**Biographical Data:**He worked at the University of Cape Town. Publications include*Deep topological invariants from the de Rham theory*(1974),*Challenges from the Past*(1977),*A grade-theoretic analogue of the Cousin complex*(1986),*Capitalism and Underdevelopment in South Africa*(1987),*Law, religion and bastardy: comparative and historical perspectives*(1991),*False antithesis? - The Debate about the Market and the State*(1993).

His interests are in Algebraic number theory, Commutative Algebra, History of Mathematics, History of Ideas generally, including the history of social thought and historiography, economic theory such as inflation and unemployment, South African economic history, such as the economics of racial discrimination, Liberal theories of justice and religion and Jurisprudence.

**Stanley Paul LIPSHITZ**

**Country:**South Africa

**Year:**1970.

**Degree:**Ph.D.

**Thesis title:**The Multiple-Integral problem of Lagrange in the Calculus of Variations.

**University:**University of the Witwatersrand (Johannesburg, South Africa).

**Advisor:**Hanno Rund.

**Biographical Data:**He worked at the University of Witwatersrand, Johannesburg, South Africa and at the University of Waterloo, Canada. He published*A canonical formalism for the non-parametric multiple-integral problem of Lagrange in the calculus of variations*(1970) acknowledging, "Research supported by the South African Council for Scientific and Industrial Research." He also published*Minimally audible noise shaping*(1991),*A theory of nonsubtractive dither*(2000), and*Random rounding in redundant representations*(2007).

Here is his own description of his research. (i) Research Topics: Audio and electro-acoustics; Digital signal processing for audio; Diffraction and radiation of sound by loudspeakers; Electro-acoustic measurement techniques, Dither in image processing. (ii) Present Research Activities: Both theoretical and experimental investigations are being made into the low-frequency radiation and diffraction of sound by loudspeakers. These are based on the use of the Helmholtz boundary integral formulation, and approximations thereto such as the Rubinowicz diffraction integral. It is hoped that this will lead to improved low-frequency measurement procedures in reverberant rooms.

**George Kinuthia Kiarie SAITOTI (03.08.1945-10.06.2012)**

**Country:**Kenya

**Year:**1971.

**Degree:**Ph.D.

**Thesis title:**Mod-2 K-Theory of the Second Iterated Loop Space on a Sphere.

**University:**University of Warwick (UK).

**Advisor:**Luke Hodgkin.

**Biographical Data:**Access his biography at THIS LINK.

**John Nguthu MUTIO**

**Country:**Kenya

**Year:**1971.

**Degree:**Ph.D.

**Thesis title:**Frobenius Groups.

**University:**Syracuse University (NY, USA).

**Advisor:**Larry C. Grove.

**Biographical Data:**He was born in the Kitui District, Kenya. He attended the Alliance High School, Kikuyu, Kenya (1954-57), Makerere University College, Kampala, Uganda (1958-59), Earlham College, Richmond, Indiana, U.S.A. (B.A. 1965), Indiana University, Bloomington, Indiana, U.S.A. (M.A. 1967), Syracuse University, Syracuse, New York, U.S.A. (Ph.D. 1971). He was appointed as a Lecturer at the University of Nairobi (1968-73), moving to became a Senior Lecturer, Kenyatta University College (1973-77), then an Associate Professor of Mathematics, Kenyatta University College (1977-80), and finally Professor of Mathematics at Kenyatta University (1980-).

He writes: "As Professor of Mathematics, I had the following duties: (a) Teaching of both undergraduate and postgraduate Students in the department; (b) Supervision of M.Sc. and Ph.D. students (10 M.Sc. and 2 Ph.D. students graduated); (c) Research and seminars in the department; and (d) Development and revision of mathematics syllabuses."

He was Dean of the Faculty of Science, Kenyatta University College (1979-86); Chairman, Department of Mathematics, Kenyatta University (1986-91); Deputy Vice-Chancellor (Academic) (1991-98); and Deputy Vice-Chancellor (Finance, Planning & Development) (1998-).

His publications include*The number of conjugacy classes in a metacyclic group*(1973),*Complete metacyclic groups*(1975),*Some generalized conjugacy classes of split metacyclic groups*(1976), and*Central automorphisms of a split metacyclic group*(1978).

**Aderemi Oluyomi KUKU (b. 20.03.1941)**

**Country:**Nigeria

**Year:**1971.

**Degree:**Ph.D.

**Thesis title:**On the Whitehead group of p-adic integral group-rings of finite p-groups.

**University:**University of Ibadan (Nigeria).

**Advisor:**Hyman Bass.

**Biographical Data:**Access his biography at THIS LINK.

**Olusola AKINYELE (b. 11.05.1944)**

**Country:**Nigeria

**Year:**1971.

**Degree:**Ph.D.

**Thesis title:**Studies in Abstract Harmonic Analysis on Semigroups.

**University:**University of Ibadan (Nigeria).

**Advisor:**Adegoke Olubummo.

**Biographical Data:**Olusola Akinyele obtained a B.S. degree in Mathematics on 24 June 1968, and a Ph.D. degree in Mathematics on 26 June 1971 both from the University of Ibadan, Ibadan, Nigeria. He is a chief representative of Nigeria's very strong school in ordinary differential equations. His recent interests are towards stability and boundedness of solutions to higher order equations. He was Professor in the Department of Mathematics, University of Ibadan, at Iowa State University, USA, and is now at HBCU (Historically Black Colleges and Universities) Bowie State College in Maryland, USA.

He has published around 50 papers including*A multiplier problem for a semigroup algebra of an ordered semigroup*(1975),*Vector Lyapunov functions and p th-order conditional stability and boundedness*(1979),*On partial boundedness of differential equations with time delay*(1981),*Oscillation theorems of n th-order functional-differential equations with forcing terms*(1985),*Cone-valued Lyapunov functions and stability of non-linear boundary value problems*(1997), and*An interval analytic method in constructive existence theorems for initial value problems*(2002).

**Hezekiah Oduoye ADEYEMI**

**Country:**Nigeria

**Year:**1971.

**Degree:**Ph.D.

**Thesis title:**Capacity Regions for Two-Way Channels.

**University:**University of California (Berkeley CA, USA).

**Advisor:**David Harold Blackwell.

**Biographical Data:**He worked at Obafemi Awolowo University, Ile-Ife, Nigeria and at Olabisi Onabanjo University, Ago-Iwoye, Nigeria. He has published statistics papers*Error bounds for the normal and the t-approximation to the generalized logistic distribution*(1987), and*On the convolution of random variables from the generalized logistic distribution*(1989). He then published on Artificial Intelligence, Human Factor Engineering, Ergonomics and Safety Engineering. Examples of his publications in this area are*Modeling manual material lifting risk evaluation: A fuzzy logic approach*(2013) and*Development of computer-aided management for grain storage in Nigeria*(2018).

**Lennox Samuel Onipede LIVERPOOL (b. 24.06.1946)**

**Country:**Sierra Leone

**Year:**1971.

**Degree:**Ph.D.

**Thesis title:**Analytic Functions and Iteration Theory.

**University:**Imperial College of Science and Technology.

**University:**University of London (UK).

**Advisor:**Irving Noel Baker.

**Biographical Data:**He was born in Freetown, Sierra Leone. He received a B.Sc. (Pure Science) from the University of Durham on 25 June 1969, an M.Sc. from the University of London in 1969, and a Ph.D. from the University of London in 1971. From 1971 to 1978, he was a Lecturer at Fourah Bay College, University of Sierra Leone. From 1978 to 1979 he was a Visiting Fulbright Fellow at the Massachusetts Institute of Technology, Boston, Massachusetts, USA, and a Visiting Associate Professor at Howard University, Washington, DC., USA. Returning to Sierra Leone, he was a lecturer at Fourah Bay College (1979-1980), then appointed as an Associate Professor at the University of Jos, Nigeria (1980-1987), being promoted to Professor of Mathematics at the University of Jos in 1987.

He has published around 12 papers including*Picard sets for entire functions*(1972),*On entire functions with infinite domains of normality*(1974),*The theorems of Schottky and Miranda - a novel approach*(1983), and*Iteration of complex functions - old and new problems*(1994).

He had two Ph.D. students who were awarded their doctorates from the University of Jos. Kenneth Barkari Yuguda was awarded the degree in 1998 for the thesis*Contrasts and Analogues in Iteration Theory and Dynamical Systems*and Musa Egahi in 2015 for the thesis*Complex Analysis and Iterates of Functions*.

His son, Tannie Liverpool, born 30 April 1971, is a mathematician with a Ph.D. from the University of Cambridge in 1995 for his thesis*A Stochastic Approach to Describing Geological Systems*.

**Dirk Jacobus VAN-SCHALKWYK**

**Country:**South Africa

**Year:**1971.

**Degree:**Ph.D.

**Thesis title:**On the Design of Mixture Experiments.

**University:**University of London (UK).

**Advisor:**David Roxbee Cox.

**Biographical Data:**He studied for his doctorate at Imperial College, University of London. He gives the following Acknowledgement in his thesis: "I am deeply grateful to Professor D R Cox for suggesting the topic and for his guidance and encouragement in the preparation of this thesis. I wish to thank Dr A M Herzberg for invaluable discussion and help. Thanks are also due to Miss P A Mills for typing the thesis.

I wish to thank the firm British Petroleum for granting me the scholarship which made this research possible and the South African Department of Agricultural Technical Services for granting me leave of absence."

The Abstract of the thesis is as follows: "A mixture experiment is one in which the level of each quantitative factor in a particular treatment is a proportion of the total treatment. Because of these properties the factor space is a regular simplex with one less dimension than the number of factors.

The variance function of the expected mean response is examined in the 3-component case and under linear, quadratic and cubic mixture models. A function, utilising the generalised variance of the D-optimum design, is given whereby upper and lower bounds can be calculated for the maximum possible variance of the expected mean response for any given design space, design and model.

D-optimum designs, that is, designs with minimum generalised variances, were generated for the same design spaces and mathematical models. A generalisation is given for designing D-optimum experiments for a simplex design space of more than three components under a linear model.

A method was devised for designing mixture experiments that are as near D-optimum as possible for a given experiment size, design space and model. The method was tested on the same design spaces and models.

This last method was extended to enable incomplete block mixture experiments to be designed such that the generalised variance of the estimable parameters is minimised while at the same time minimising the effect of blocking on these estimations. Incomplete block mixture designs were generated for a number of block sizes and numbers of blocks when the design space is the 3-component full simplex and the above three mathematical models are used."

He worked at the University of Pretoria.

**George Olatokunbo OKIKIOLU (b 18.7.1941)**

**Country:**Nigeria

**Year:**1971.

**Degree:**D.Sc.

**University:**University of London (UK).

**Biographical Data:**Access his biography at THIS LINK.

**Ethelbert Nwakuche CHUKWU (b. 22.11.1940)**

**Country:**Nigeria

**Year:**1972.

**Degree:**Ph.D.

**Thesis title:**Symmetries and Identification of Linear Control Systems.

**University:**Case Western Reserve University (Cleveland, Ohio, USA).

**Advisor:**Otomar Hájek.

**Biographical Data:**He studied at Harvard University (1963), Brown University (B.Sc. Applied Mathematics, 1965), University of Nigeria (M.Sc. Applied Mathematics, 1966-70), and Case Western Reserve University, Cleveland, Ohio (Ph.D. 1972). He worked at Cleveland State University, Ohio, the University of Jos, Nigeria, the University of Tennessee, Knoxville, USA, and North Carolina State University, Raleigh, USA.

He has published over 70 papers including*On the stability of a nonhomogeneous differential equation of the fourth order*(1972),*Finite time controllability of nonlinear control processes*(1975),*On the null-controllability of nonlinear delay systems with restrained controls*(1980),*Global null controllability of nonlinear delay equations with controls in a compact set*(1987),*Optimal control of the growth of income of nations*(1994),*On the controllability of nonlinear economic systems with delay: the Italian example*(1998), and*Goodness through optimal dynamics of the wealth of nations*(2003).

He has published the following books*Stability and time-optimal control of hereditary systems*(1992),*Differential models and neutral systems for controlling the wealth of nations*(2001),*Optimal control of the growth of wealth of nations*(2003),*The Omega Problem of all Members of the United Nations*(2010), and*Economic dynamics of all members of the United Nations*(2014).

**Christopher Olutunde IMORU**

**Country:**Nigeria

**Year:**1972.

**Degree:**Ph.D.

**Thesis title:**The Jensen-Steffensen Inequality.

**University:**Northwestern University (Evanton, Illinois, USA).

**Advisor:**Ralph P. Boas Jr.

**Biographical Data:**He attended the University of Nigeria, Nzukka, Nigeria, from 1963 to 1966. He attended Obafemi Awolowo University, Ile-Ife, Nigeria from 1963 to 1966 (B.Sc. 1966). From 1968 to 1972 he attended Northwestern University in Evanton, Illinois, U.S.A. (Ph.D. 1972). Since 1974 he has been in the mathematics department of Obafemi Awolowo University, Ile-Ife, Nigeria.

He has published around 50 papers including*Series inequalities involving convex functions*(1974),*Variations of integral means and Hardy-Littlewood maximal functions*(1982),*Generalizations of Hardy's integral inequality*(1987),*On a general Ishikawa fixed point iteration process for continuous hemicontractive maps in Hilbert spaces*(2001),*New iteration methods for pseudocontractive and accretive operators in arbitrary Banach spaces*(2003), and*Some convergence results for the Jungck-Mann and the Jungck-Ishikawa iteration processes in the class of generalized Zamfirescu operators*(2008).

**Samuel Akindiji ILORI (b. 11.01.1945)**

**Country:**Nigeria

**Year:**1972.

**Degree:**Ph.D.

**Thesis title:**Some problems in the theory of flag manifolds and flag bundles.

**University:**University of Oxford (UK).

**Advisor:**Aubrey William Ingleton.

**Biographical Data:**He studied at St Andrew's Demonstration School, Oyo (1950-56), Ogbomoso Grammar School (1959-62), and Christ's School, Ado-Ekiti (1963-64). He graduated with First Class Honours degree in Mathematics in 1968 from the University of Ibadan. He obtained the Diploma in Advanced Mathematics in 1969 from the University of Oxford, U.K. and a D.Phil. degree in Mathematics from the same University in 1972. He was a recipient of various awards and scholarships during his academic career.

He became a Professor of Mathematics at the University of Ibadan in 1982 and was elected a Fellow of the Nigerian Academy of Science in 2006. He served the University of Ibadan in various capacities as Head, Department of Mathematics (2003-2006), Provost, College of Science and Technology (1990-1994), Dean, Faculty of Science (May 1990-November), Sub-Dean, Physical and Mathematics (1977-1979). He was also the Chairman of Council of St Andrew's College. He has over 20 academic awards and distinctions to his credit. He is also a member of numerous academic and professional bodies. He married Victoria Iyabode Ajani in 1975; they have three sons and one daughter.

He has around 30 publications including*On the generalised Todd genus of flag bundles*(1974),*Subvarieties of flag bundles*(1982),*Non-immersions and non-embeddings of some flag manifolds*(1999), and*Projective resolutions and the homology of an induced group*(2013).

**Pascal Kampotu MUBENGA**

**Country:**Zaire

**Year:**1972.

**Degree:**Ph.D.

**Thesis title:**Convergence of Bounds in Optimization.

**University:**Western Michigan University (Kalamazoo, USA).

**Advisor:**Arthur William John Stoddart.

**Biographical Data:**His thesis, under the name Pascal D Mubenga, has the following Acknowledgement: "During the preparation of this thesis, Dr A W J Stoddart spent with me many hours of patient and inspiring discussions. My sincere gratitude goes to him. I am also indebted to Dr R Blefko for his careful reading of the manuscript. The financial support from Western Michigan University was helpful, and I thank the members of the Mathematics Department who made it possible."

He is Professor at University of Kinshasa, DR Congo. where he has taught Operations Research, General topology, and Functional analysis for forty years. His works are essentially related to General Topology, Functional Analysis, optimization, Mathematical programming, and Graph Theory. He published papers such as*On a generalized problem of linear programming*(1976),*Simulated Annealing vs Genetic Algorithm to Portfolio Selection*(2015) and*An Aggregation Function Based on Pairwise Comparisons*(2017).

**Johan SWART**

**Country:**South Africa

**Year:**1973.

**Degree:**Dr.phil.

**Thesis title:**Zur Theorie der Schwartz-Raume [On the theory of Schwartz spaces].

**University:**Universität Zürich [Switzerland].

**Advisor:**Hans Jarchow.

**Biographical Data:**He was awarded a B.Sc. (Hons), an M.Sc. (Potchefstroom University for Christian Higher Education), and a Dr.Phil. (Zürich). He worked at the Council for Scientific and Industrial Research, Pretoria, Potchefstroom University for Christian Higher Education, and the University of Pretoria. He gives the following fields of interest: Applications of mathematics to finance and to physics, history and philosophy of mathematics and science in general. His research interests are listed as follows: Operator algebras, geometry of Banach spaces, and measure theory.

He has published around 30 papers including*On Mackey convergence in locally convex spaces*(1973),*Schwartz topologies on sequence spaces*(1977),*A characterisation of semi-Fredholm operators defined on almost reflexive Banach spaces*(1986),*An elementary proof of a classical semi-Fredholm perturbation theorem*(1996),*Equimeasurability, nuclearity and representability*(2003), and*The metric theory of tensor products. Grothendieck's résumé revisited*(2008).

**Stephen Ronald SCHACH (b. 03.12.1947)**

**Country:**South Africa

**Year:**1973.

**Degree:**Ph.D.

**Thesis title:**New Identities for Legendre Associated Functions of Integral Order and Degree.

**University:**University of South Africa (Pretoria, South Africa).

**Advisor:**Geoffrey Brundrit.

**Biographical Data:**He was born on 3 December 1947 in Cape Town, Cape Province, South Africa, the son of Sydney Lazar Schach and Florette Rose Arens. He studied at the University of Cape Town (B.Sc. 1966, Ph.D. 1973). He worked at the University of Cape Town from 1972 to 1983.

He married Sharon Malkah Stein on 16 December 1974; they had two children David Martin and Lauren Susan. He went to the United States in 1983 when appointed associate professor computer science at Vanderbilt University, Nashville.

His publications include*New identities for Legendre associated functions of integral order and degree*(1976),*Max-min tree partitioning*(1981),*A bottom-up algorithm for weight- and height-bounded minimal partition of trees*(1984),*Software Engineering with Java*(1996),*Classical and Object-Oriented Software Engineering W/ Uml and C++*(1998),*Object-Oriented Software Engineering*(2008), and*Development/Maintenance/Reuse: Software evolution*(2012).

**Seyoum GETU**

**Country:**Ethiopia

**Year:**1973.

**Degree:**Ph.D.

**Thesis title:**Generalizing Alternative Rings.

**University:**University of Missouri (Columbia, USA).

**Advisor:**David Joseph Rodabaugh.

**Biographical Data:**He worked at Haile Sellassie I University, Addis Ababa, Ethiopia, then at Howard University, Washington DC, USA. He joined the American Mathematical Society in 1974.

He has published about twelve papers including*Combinatorial view of the composition of functions*(1980),*Product-weighted lead codes revisited*(1982),*Lattice paths and Bessel functions*(1995), and*A "dot'' product, lattice paths and determinant of Hankel matrices*(2001).

**Kevin Ejere OSONDU**

**Country:**Nigeria

**Year:**1974.

**Degree:**Ph.D.

**Thesis title:**A Unified Theory of Extension of Bins to Semigroups and of Semigroups to Groups.

**University:**State University of New York (Buffalo NY, USA).

**Advisor:**Dov Tamari.

**Biographical Data:**He was the first black student to earn a Ph.D. from the State University of New York. He worked at the University of Lagos, Nigeria, and at the College of Technology, Owerri, Nigeria. He has been a member of the Council of the Nigerian Mathematical Society between 1984 and 1995, first as Assistant Secretary and later as Vice-President. He has also been an Associate Editor of the Journal of the Nigerian Mathematical Society since 1992.

He has published around twelve papers on semigroups, including*Extensions of homomorphisms of a subsemigroup of a group*(1977),*Homomorphisms of semilattices of semigroups*(1980),*Malcev sequences and associative symmetrisations*(1984), and*Universal groups on semilattices of reversible cancellative semigroups*(1991).

**Abimbola Sylvester YOUNG (b. 22.08.1947)**

**Country:**Sierra Leone

**Year:**1974.

**Degree:**Ph.D.

**Thesis title:**Prediction analysis with some types of regression functions.

**University:**University of London (UK).

**Advisor:**Dennis Victor Lindley.

**Biographical Data:**The name 'Sylvester' was given to him when he was a student in England by people who found 'Abimbola' difficult to pronounce. He was a pupil at the Prince of Wales School in Freetown, Sierra Leone. He then went to England and was awarded a First Class honours degree in mathematics by the University of Durham. He worked at the Department of Mathematics, University of Sierra Leone, Freetown, then at the Department of Mathematics, University of Benin, Benin City, Nigeria. He became Director of the Bureau of Statistics of the International Labour Office in 2001. On 15 May 2009 he was Appointed as Senior Statistical Adviser in the Department of Policy Integration of the International Labour Office.

He has published papers such as*A Bayesian approach to prediction using polynomials*(1977),*On the information criterion for selecting regressors*(1987) and*On a Bayesian criterion for choosing predictive submodels in linear regression*(1987).

**Saliou TOURE (b. 04.06.1937)**

**Country:**Côte d'Ivoire

**Year:**1974.

**Degree:**Doctorat d'état.

**Thesis title:**Sur les espaces homogènes moyennables.

**University:**Université de Cocody (Abidjan, Côte d'Ivoire).

**Advisor:**Pierre Eymard.

**Biographical Data:**He was born on in Kolia, a town in the north of the Côte d'Ivoire he obtained his first degree in Paris in 1962. He worked as an assistant at the University of Besançon (1963-66), then became an assistant professor at the Faculty of Science and Technology of the University of Abidjan. He became President of the Mathematical Society of Ivory Coast in 1977. He was elected President of the African Mathematical Union from August 2009 to July 2013.

He has published around 20 papers including*Sur la résolution de l'équation intégrale d'Ambarzumian*(1965),*Une condition necessaire pour qu'une fonction soit caractéristique*(1966),*Sur quelques propriétés des espaces homogènes moyennables*(1971),*Quelques applications associées à l'application de Reiter*(1981),*Sur la cohomologie des algèbres de Malπcev. II*(1992),*Sur la grassmannienne sphérique: applications aux groupes de Lie réductifs*(2017).

**Lévry Bogard DALAUD**

**Country:**Côte d'Ivoire

**Year:**1974.

**Degree:**Doctorat 3ème cycle.

**Thesis title:**Analyse des séries stationnaires à temps discret; Application au cas d'un modèle statistique du mouvement du pôle.

**University:**Université Pierre-et-Marie-Curie Paris VI (France).

**Advisor:**Fernand Nahon.

**Biographical Data:**He attended the International Congress of Mathematicians in Helsinki in August 1978. He wrote*Études des Liens Entre les Equations Différentielles Stochastiques Retrogrades et les Equations aux Dérivées Partielles*(2003).

**Wandera OGANA (b. 05.1946)**

**Country:**Kenya

**Year:**1975.

**Degree:**Ph.D.

**Thesis title:**Computation of steady two-dimensional transonic flows by an integral equation method.

**University:**Stanford University (CA, USA).

**Advisor:**John R. Spreiter.

**Biographical Data:**He was born in Mukhobola, Busia, Kenya. He attended Miwani Primary School (1952-56), Awasi Intermediate School (1957-60), Nyang'ori Secondary School (1960-64) and Kakamega High School (1965-66). He entered the University of East Africa, University College of Nairobi in April 1967 to study Surveying and Photogrammetry in the Faculty of Engineering. After one term he transferred to the Faculty of Science and graduated with a B.Sc. (Honours) in mathematics in 1970, specialising in Applied Mathematics.

After teaching mathematics for one year at Maseno Secondary School, he went to Stanford University, California, USA, and was awarded an M.S. (1973) and a Ph.D. (1975) in Applied Mechanics. In January 1976, he joined NASA Ames Research Center, Moffett Field, California, as a Postdoctoral Research Associate, and undertook research there till July 1977. He returned to Kenya and was employed as a Lecturer in the Department of Mathematics at the University of Nairobi. He was promoted to Senior Lecturer (1980), Associate Professor (1987) and Professor (1991), in the same department. He served as Chairman of the Department of Mathematics (1983-92) and as Dean of the Faculty of Science (1995-2000).

He has published around 40 papers including*An alternative approach to the transonic flow problem*(1985),*Boundary element methods in three-dimensional transonic flows*(1989),*Modelling the vertical distribution of insects*(1996),*Modelling the vertical distribution of tsetse flies*(1998) and*Model Evaluation. Climate Change 2001: The Scientific Basis Contribution of Working Group I to the Third Assessment Report of the Intergovernmental Panel on Climate Change*(2001).

**Issoufou A. KOUADA**

**Country:**Niger

**Year:**1975.

**Degree:**Ph.D.

**Thesis title:**Linear Vector Maximization.

**University:**Rensselaer Polytechnic Institute.

**Advisor:**Joseph G. Ecker.

**Biographical Data:**He worked at the Université de Niamey, Niger. He became the 1st Vice-president and Secretary-general of the Ministry for Higher Education.

He has published around 10 papers including*Finding efficient points for linear multiple objective programs*(1975),*Generating all maximal efficient faces for multiple objective linear programs*(1980),*Fritz John's type conditions and associated duality forms in convex nondifferentiable vector-optimization*(1994), and*Upper-semi-continuity and cone-concavity of multi-valued vector functions in a duality theory for vector optimization*(1997).

**Bola Olujide BALOGUN (b. 03.07.1943)**

**Country:**Nigeria

**Year:**1975.

**Degree:**Ph.D.

**Thesis title:**On some topics in Group Theory.

**University:**University of California (Los Angeles CA, USA).

**Advisor:**Ernst Gabor Straus.

**Biographical Data:**He was born at Ijebu-Igbo, Nigeria. He studied at University College, Ibadan, Nigeria (1960-63) (B.Sc. Hons. Mathematics, 1963). He was employed as a Teaching Assistant in the University of Ibadan (1962-63); a Mathematics Tutor, Mayflower Grammar School, Ikene, Ogun State, Nigeria (1963-66); an Assistant Lecturer in Mathematics, University of Ife, lbadan (1966-69); a Lecturer Grade II in Mathematics, University of Ife (1969-76); a Lecturer Grade I in Mathematics, Obafemi Awolowo University, Ile-Ife, (same University-new name) Nigeria (1976-79); a Senior Lecturer in Mathematics, Obafemi Awolowo University (1979-89); an Associate Professor of Mathematics, Obafemi Awolowo University (1989-97); and a Professor of Mathematics, Department of Mathematics, Obafemi Awolowo University (1997-).

He has published around 10 papers including*Conjugately pure subgroup problem*s (1974),*Groups with large conjugacy classes*(1977),*Abelian sheaves over topological spaces*(1980), and*Idempotents in the C*-algebras of free products of groups with amalgamation*(1998).

**Sarel VENTER**

**Country:**South Africa

**Year:**1975.

**Degree:**Ph.D.

**Thesis title:**The Null-Set of the Euler-Lagrange Operator for Second Order Multiple Integral Variational Problems.

**University:**University of South Africa (Pretoria, South Africa).

**Advisors:**Hanno Rund and Horst-Sigfried Paul Grässer.

**Biographical Data:**Sarel Venter died on 2 July 1974. The paper*Integral formulae associated with non-parameter-invariant multiple integral problems o| arbitrary order in the calculus of variations*was published in 1980 with co-authors Thomas G Berry and Sarel Venter. The following note appears in the paper" "The results reported here were discovered independently by the two authors, who, before the untimely death of the second, had collaborated on related problems. A major portion of this paper is contained in the (unpublished) Ph.D. thesis submitted posthumously by the late Sarel Venter's thesis supervisors, Professors H S P Grässer and H Rund, to the University of South Africa, which awarded the degree in May 1975. Thanks are due to the late Dr Venter's supervisors for providing the first-named author with a copy of Dr Venter's thesis, for permission to prepare this joint manuscript, and also for assistance during its preparation."

**Jamshid MOORI (b. 21.03.1945)**

**Country:**South Africa

**Year:**1975.

**Degree:**Ph.D.

**Thesis title:**On the Groups 210:M_22 and 210:M_22:2.

**University:**University of Birmingham (UK).

**Advisor:**Donald Livingstone.

**Biographical Data:**He was awarded a Diploma in Mathematics after attending the Nowrooz High School, Masjed Soleiman, Iran 1961-1964; a B.Sc. in Mathematics after attending the University of Meshed, Iran 1967-1971; an M.Sc. in Mathematics after attending the University of Birmingham, England 1972-1973; and a Ph.D. in Mathematics after studying at the University of Birmingham 1973-1975.

He has held the following positions: 1970-1971, Mathematics Tutor, Student Assistant, Pre-University College, University of Meshed, Iran; 1975-1979, Assistant Professor in Mathematics, University of Jundi-Shahpur, Ahwaz, Iran; 1977-1979, Head of Department of Mathematics, University of Jundi-Shahpur; 1983-June 1985, Senior Lecturer in Mathematics, University of Bophuthatswana, South Africa; 1985-June 1989, Professor and Head, Department of Mathematics, University of Bophuthatswana; 1986-1987, Deputy Dean of Science, University of Bophuthatswana; 1989-1996, Professor of Mathematics, University of Natal, Pietermaritzburg, South Africa; 1993-1994, Acting Head, Department of Mathematics and Applied Mathematics, University of Natal; 1994-1999, Head, Department of Mathematics and Applied Mathematics, University of Natal; 1999-2009 Director of Mathematics Programme, School of Mathematics, Statistics and Information Technology; 2001, Deputy Head of School, School of Mathematics, Statistics and Information Technology; 2006-present, Honorary Senior Research Fellow, School of Mathematics, University of Birmingham, England; 2011-present, Research Professor, School of Mathematical and Physical Sciences, North-West University, Maﬁkeng.

He has published over 150 papers on Finite Groups, Simple Groups and Sporadic Simple Groups, Representation Theory of Finite Groups, Character Tables of Extension Groups, Clifford-Fischer Matrices, Presentations of Group Extensions, Application of Finite Groups to Combinatorial Designs and Finite Geometries.

Here are a few examples of Moori's papers:*On certain groups associated with the smallest Fischer group*(1981);*Subgroups of 3-transposition groups generated by four 3-transpositions*(1994);*(p, q, r)-Generations of the Smallest Conway Group Co_3*(1997);*Codes, Designs and Graphs from the Janko Groups J_1 and J_2*(2002);*Permutation decoding for the binary codes from triangular graphs*(2004);*Some designs and codes invariant under the simple group Co_2*(2007);*Codes associated with triangular graphs and permutation decoding*(2010); and*A survey on Clifford-Fischer Theory*(2015).

This last mentioned paper appears in the*Proceedings of Groups St Andrews 2013*of which I [EFR] was an editor. Here is the Abstract: "Bernt Fischer presented a powerful and interesting technique, known as Clifford-Fischer Theory, for calculating the character tables of group extensions. This technique derives its fundamentals from the Clifford theory. The present article surveys the developments of Clifford-Fischer Theory applied to group extensions (split and non-split) and in particular we focus on the contributions of the second author (Jamshid Moori) and his research groups of students."

**Godwin Osakpemwoya Samuel EKHAGUERE (23.05.1947)**

**Country:**Nigeria

**Year:**1976.

**Degree:**Ph.D.

**Thesis title:**A Markov Property for Multicomponent Euclidean Covariant Gaussian Generalized Stochastic Fields.

**University:**University of London (UK).

**Advisor:**Raymond Frederick Streater.

**Biographical Data:**He was born in Benin City, Edo State, Nigeria. His academic ability was evident at an early age, when he won the competitive five-year scholarship of the Western Region of Nigeria tenable in the prestigious Immaculate Conception College (ICC), Benin City in 1961. He completed his secondary school education with a First Division Certificate in 1965. He was awarded a scholarship in 1966 by the ICC for his Higher School Certificate (HSC) education (1966-67). Best known among his friends and colleagues simply as Gos, he gained admission into the University of Ibadan, Nigeria (West Africa) for his undergraduate studies in 1968. In 1971, he earned a Bachelor of Science degree with Honors in Physics. He then proceeded to the Imperial College of Science & Technology, London, where he earned the Diploma of Imperial College in Mathematical Physics in 1974. In 1976, he earned a Ph.D. in Mathematical Physics from the University of London (Bedford College).

He served as a Subdean, Faculty of Science, University of Ibadan (1981-82); Head, Department of Mathematics, University of Ibadan (1993-96), and a Member of the University of Ibadan Governing Council (1995-97). In 1995, he was elected Vice-President of the Nigerian Mathematical Society. He is a Full Professor of Mathematics (since 1988) on the faculty of the University of Ibadan.

He has published around 30 papers including*On notions of Markov property*(1977),*A characterization of Markovian homogeneous multicomponent Gaussian fields*(1980),*Quantum stochastic integration in certain partial *-algebras*(1986),*The functional Ito formula in quantum stochastic calculus*(1990),*Algebraic representation theory of partial algebras*(2001), and*Topological solutions of noncommutative stochastic differential equations*(2007).

**Augustin BANYAGA (b. 31.03.1947)**

**Country:**Rwanda

**Year:**1976.

**Degree:**Docteur es Sciences Mathématiques.

**Thesis title:**Sur la structure des groupes de diffeomorphismes qui preservent une forme symplectique ou une forme de contact regulière [On the structure of the groups of diffeomorphisms preserving a symplectic form or a regular contact form].

**University:**Université de Génève (Geneva, Switzerland).

**Advisor:**André Haefliger.

**Biographical Data:**He was born in Kigali, Rwanda. After the award of his doctorate, he was a member of the Institute for Advanced Study in Princeton, New Jersey (1977–1978), Benjamin Peirce Assistant Professor at Harvard University (1978–1982), and assistant professor at Boston University (1982–1984). He was appointed associate professor at Pennsylvania State University in 1984 and promoted to full professor in 1992. He is an editor of*Afrika Matematica*, the journal of the African Mathematical Union, and an editor of the*African Journal of Mathematics*.

He has made significant contributions in symplectic topology publishing around 80 papers including*Sur le groupe des difféomorphismes symplectique*s (1974),*On the cohomology of the diffeomorphisms group*(1983),*A characterization of some coadjoint orbits of diffeomorphism subgroups*(1993),*A geometric integration of the extended Lee homomorphism*(2001),*A Hofer-like metric on the group of symplectic diffeomorphisms*(2010), and*Snapshots of mathematics in Sub-Saharan Africa*(2018).

He has written the books*The structure of classical diffeomorphism groups*(1997),*Lectures on Morse homology*(2004) and*A brief introduction to symplectic and contact manifolds*(2017).

**Salah-Eldin A. MOHAMMED (b. 20.05.1946)**

**Country:**Sudan

**Year:**1976.

**Degree:**Ph.D.

**Thesis title:**Retarded Functional Differential Equations (A Global Point of View).

**University:**University of Warwick (UK).

**Advisor:**James Eells.

**Biographical Data:**Before studying for his doctorate he was awarded a B.Sc. from the University of Khartoum, Sudan in l970 and an M.Sc. from the University of Dundee, Dundee, Scotland, in 1972. His thesis was published as a 147-page book in 1978. A boyhood in an impoverished, obscure village in the Sudan hasn't stopped Salah Mohammed from winning recognition as one of America's leading mathematicians, now as Professor of Mathematics at Southern Illinois University. Before that he worked at the University of Khartoum, Sudan.

He has published the book*Stochastic functional differential equations*(1984) and around 50 papers including*Separation of variables (an abstract approach)*(1974),*The infinitesimal generator of a stochastic functional-differential equation*(1982),*An extension of Hörmander's theorem for infinitely degenerate second-order operators*(1995),*Discrete-time approximations of stochastic delay equations: the Milstein scheme*(2004),*Sobolev differentiable stochastic flows for SDEs with singular coefficients: applications to the transport equation*(2015), and*An option pricing model with memory*(2017).

**Mohamed Assad Mohamed HASSAN (b. 23.05.1945)**

**Country:**Egypt

**Year:**1976.

**Degree:**Ph.D.

**Thesis title:**The theory of final groups.

**University:**Eotvos Lorand University (Budapest, Hungary).

**Advisor:**Corrádi Keresztély.

+

**Year:**1996.

**Degree:**D.Sc.

**University:**Hungarian Academy of Sciences (Budapest, Hungary).

**Biographical Data:**He has a doctoral dissertation 'Investigations on the Theory of Finite Groups' (1972). The University of Cairo has a "Mohamed Assad Mohamed Hassan Award" for mathematics.

**Shoukry Sayyed HASSAN (b. 16.12.1945)**

**Country:**Egypt

**Year:**1976.

**Degree:**Ph.D.

**Thesis title:**Mathematical treatment of quantum optics.

**University:**University of Manchester (UK).

**Advisor:**Robin K. Bullough.

+

**Year:**1993.

**Degree:**D.Sc.

**University:**University of Manchester (UK).

**Biographical Data:**He worked at Ain Shams University, Cairo, at Kuwait University, and at the University of Bahrain. His papers include*Propagational effects in an ab initio theory of super-radiance from extended systems*(1976),*Intensity fluctuations in a driven Dicke model*(1980),*Atoms in Fock state fields. I*(1990), and*Long-lived entanglement with pulsed-driven initially entangled qubit pair*(2014).

**Demissu GEMEDA (03.12.1946-00.05.2008)**

**Country:**Ethiopia

**Year:**1976.

**Degree:**Ph.D.

**Thesis title:**Multiplicative Structure of Finite Free Resolutions of Ideal Generated by Monomials in an R-Sequence.

**University:**Brandeis University (MA, USA).

**Advisor:**David A. Buchsbaum.

**Biographical Data:**He worked at Addis Ababa University. He has written textbooks*An Introduction to Linear Algebra*(2000),*Topics in linear Algebra*(2005) and*Fundamental Concepts of Algebra*(2008).

A Conference in Memory of Dr Demissu Gemeda was held on 4 July 2009 at Addis Ababa University. An International Conference on Mathematical Research and Education in memory of Dr Demissu Gemeda was held 7-8 October 2010.

He has published papers including*Research in the basic sciences from a developing country perspective*(1998) and*The Case of Addis Ababa University*(2008).

**Daouda SANGARE (b. 13.07.1943)**

**Country:**Mali

**Year:**1977.

**Degree:**Doctorat d'état.

**Thesis title:**Sur la composition et l'extension des filtrations et pseudo-valuations [On the composition and extension of filtrations and pseudo-valuations].

**University:**Université de Caen (France).

**Advisor:**Marc Krasner.

**Biographical Data:**He was born at Bougouni, Mali. His university education was at the University of Caen, France, Bachelor degree in Mathematics (1967), a Master's degree in Mathematics (Number Theory) (1968), a Doctorat de 3ème cycle in Pure Mathematics (1973), and the Doctorat d'état (1977). His supervisors were Roger Apéry, University of Caen and Mark Krasner, University of Paris VI. He worked as an Associate Assistant at the University of Caen (1972-1977), as Professor at the Ecole Normale Supérieure at Bamako, Mali in 1978, and Professor at the University of Cocody, Abidjan (1978-1994), as an Associate Professor at the University Institute for Teachers Training, Lyon, France (1994-1999), and as Professor at Nangui Abrogoua University of Abidjan, Côte d'Ivoire (2000-2016).

He was Editor-in-Chief of 'Afrika Matematika' the journal of the African Mathematical Union from 1992 to 2009, editing 19 volumes of that journal. He has also founded and led since 2010, the journal 'Africa Mathematics Annals'. He was Secretary General of African Mathematical Union (1991-2000) and Mediator of the Pan African Mathematics Olympiads (1993-2009). He received an award from the African Mathematical Union for his outstanding contribution to the Union and the development of African Mathematical Sciences across the African continent.

He has published over 20 papers including*Anneaux pseudo-valués de "pas'' fini*(1973),*Generalized Samuel numbers and A.P filtrations*(1990),*Some aspects of the asymptotic theory of ideals*(1994),*On the asymptotic nature of the analytic spread of I-good and strongly Noetherian filtrations*(2001),*Transcendence degree of Rees rings of Noetherian filtrations and their quotients*(2010), and*Hilbert-Samuel functions of well bifiltered modules*(2016).

**Galaye DIA**

**Country:**Senegal

**Year:**1977.

**Degree:**Doctorat 3ème cycle.

**Thesis title:**Closed convex bounded valued integrals.

**University:**Université de Dakar (Senegal).

**Advisor:**Doudou Sakhir Thiam.

+

**Year:**1986.

**Degree:**Doctorat d'état.

**Thesis title:**Order statistics on the point process. Estimation of the regression.

**University:**Université Pierre et Marie Curie (Paris, France).

**Advisor:**Jean Geffroy.

**Biographical Data:**He was awarded the following qualifications: Maitrise of Applied Mathematics at the Faculty of Sciences of the Grenoble University, France (1971); DEA of Numerical Analysis at the Faculty of Sciences of the Grenoble University (1972); Doctorate of 3ème cycle from the Faculty of Sciences and Techniques of the Dakar University, Senegal (1977); Doctorat d'état from the Pierre and Marie Curie University of Paris.

He was employed as an Assistant Lecturer at the Faculty of Sciences and Techniques of the Dakar University (1972-1977); Lecturer at Dakar University (1977-1983); Lecturer at the Institut of Statistic of the Paris University (1983-1986); Lecturer at the University Pierre Mendes, Paris (1983-1986); Lecturer at the Institut d'Informatique, Conservatoire National des Arts et Métiers Paris (1983-1986); Senior Lecturer at the Faculty of Sciences and Techniques of Dakar University (1986-1990); Senior Lecturer at the Unités de Formation et de Recherche of Mathematics and Computer Science at The Gaston Berger University of Saint-Louis, Sénégal (1990-1992); Professor at the Unités de Formation et de Recherche of Mathematics and Computer Science at the Gaston Berger University of Saint-Louis, Sénégal.

Has published papers including*Blocs équilibrés d'une suite aléatoire de variables statistiques*(1987),*Nonparametric estimation of the density of a point process*(1990),*Répartition ponctuelle aléatoire des revenus et estimation de l'indice de pauvreté*(2005),*Estimation of a regression function on a point process and its application to financial ruin risk forecast*(2010), and*Bidimensional non-parametric estimation of well-being distribution and poverty index*(2014).

**Batmanathan Dayanand REDDY (b. 10.03.1953)**

**Country:**South Africa

**Year:**1977.

**Degree:**Ph.D.

**Thesis title:**The Elastic and Plastic Buckling of Circular Cylinders in Bending.

**University:**Cambridge University (UK).

**Advisor:**Christopher Reuben Calladine, FRS.

**Biographical Data:**He was born in South End, Port Elizabeth where he spent his childhood and early teenage years. He attended primary schools in Schauderville and South End, and the South End High School. When South End was declared a white area in terms of the Group Areas Act in 1965, his family, together with thousands of residents of this diverse and vibrant community, were uprooted and forcibly removed to racially designated group areas. With the extended-family general dealer business, established by his grandfather over thirty years before, now in ruins, Reddy's parents settled in Cape Town in 1968 after an aborted decision to immigrate to the United Kingdom. Daya, as he is popularly called, and his younger brother were sent to live with family members in Vrededorp, an area that was ironically to suffer the same fate as South End soon after.

After he matriculated from Lenasia Indian High School at the end of 1969, he enrolled for a degree in civil engineering at the University of Cape Town for which he had to obtain special ministerial permission. After he was awarded his degree in 1973 (with first-class honours), he took up a scholarship to Cambridge University where he graduated with a Ph.D. in 1977. After a year spent doing research at the University College, London, he returned to Cape Town to take up a joint lectureship in the Departments of Applied Mathematics and Civil Engineering at the University of Cape Town, a reflection of his established multi-disciplinary interests and work. He was appointed senior lecturer in 1982 and associate professor in 1985. In 1989 he was appointed Professor in Applied Mathematics and in 1999, Dean of the Faculty of Science.

He is the author of over 85 articles and also the author or co-author of three texts or monographs and three edited works. He holds fellowships of the Third World Academy of Sciences, the Royal Society of South Africa, the South African Academy of Engineering, and the University of Cape Town. He is also an elected member of the Academy of Science of South Africa.

He is married to Shaada Pillay, a librarian at the University of Cape Town. They have a son, Jordi who is an engineering student.

He has around 100 publications including*Dual extremum principles in the dynamics of rigid perfectly plastic bodies undergoing finite deformations*(1981),*The obstacle problem for an elastoplastic body*(1990),*Acceleration waves in finitely deformed elastic-plastic solids*(1995),*Uniform convergence and a posteriori error estimators for the enhanced strain finite element method*(2004),*Computational model of soft tissues in the human upper airway*(2012),*Numerical approximation of variational inequalities arising in elastoplasticity*(2014) and*Multi-scale simulation of droplet-droplet interaction and coalescence*(2018).

**Nigel Tempest BISHOP (b. 11.09.1951)**

**Country:**South Africa

**Year:**1977.

**Degree:**Ph.D.

**Thesis title:**A trip through gravitation theory.

**University:**University of Southampton (UK).

**Advisor:**Peter Theodore Landsberg.

**Biographical Data:**He was born, and grew up, in Wimbledon, England and attended Rutlish Grammar School in Merton, London. An undergraduate at Caius College, University of Cambridge, he was tutored by Stephen Hawking. He was awarded a B.A. (Honours) in mathematics, and moved to the Department of Mathematics at the University of Southampton, where he obtained a PhD degree for a thesis on gravitation theory and cosmology. He was elected a Fellow of the Royal Astronomical Society.

After graduating, he moved to South Africa when appointed Lecturer at the University of the Witwatersrand where he was promoted to Senior Lecturer and later Associate Professor. His first appointment as full Professor of mathematics took place at the University of South Africa. While at the University of South Africa he was awarded the Vice-Chancellor's prize for the best researcher in the Faculty of Science, and in 2001 he received the South African Mathematical Society World Mathematical Year 2000 gold medal.

In 2009 he moved to Rhodes University as Professor and Head of Department of Mathematics. He has served as President of the South African Gravity Society. For many years he has been on the Council of the South African Mathematical Society, serving two terms as President. He is a founding Director of the South African Mathematics Foundation, and served as its Chair. Amongst other activities the Foundation is responsible for mathematics olympiads in South Africa, and South Africa's involvement in international competitions.

He has published over 70 scientific publications, and three books. The subjects of this work range from mathematical analysis to computer programming, from quantum gravity to discoveries about the horizons of black holes, and from cosmology to the theory of travel faster than light. However, for many years the focus of his work has been on gravitational waves. He is married to Ozlem Tastan Bishop, who is also at Rhodes University, in the Department of Biochemistry. They have two children, living in Pretoria and Cape Town.

**Dirk Pieter LAURIE (b. 05.01.1946)**

**Country:**South Africa

**Year:**1977.

**Degree:**Ph.D.

**Thesis title:**Numerical Treatment of the Time Variable in Parabolic Equations.

**University:**University of Dundee (UK).

**Advisor:**Andrew Ronald Mitchell.

**Biographical Data:**He was born in Cape Town, S Africa, the son of Henri de Guise Laurie and Christina Jacoba Van Rensburg. and educated at Stellenbosch University (B.Sc., M.Sc. 1967) and the University Dundee, Scotland (Ph.D. 1977). He was employed as a Research officer at the National Research Institute of Mathematics Sciences, Pretoria, South Africa (1968-1983), Professor at Potchefstroom University, Vanderfijlpark, South Africa.

He became a member of the edition board of the Journal Computational and Applied Mathematics in 1988. He is a Member of the Society for Industrial and Applied Mathematics, the South African Mathematics Society (secretary 1977-1989), and the South African Society Numerical Mathematics (serving as chairman). He married Catherina Elizabeth Opperman on 21 December 1968; they have five children, Henri, Diederik, Dirk-Pieter, Reenen, and Kestell. He gives his interests as choir, tennis, and cryptic crossword compilation.

He has published over 40 papers including*Propagation of initial rounding error in Romberg-like quadrature*(1975),*Basic principles of discretization methods*(1983),*A segregated CFD approach to pipe network analysis*(1994),*Orthogonal polynomials and Gaussian quadrature for refinable weight functions*(2004), and*The number of cones generated by a multiresolution analysis with a sequence of LULU operators*(2015).

**Louis LE-RICHE**

**Country:**South Africa

**Year:**1977.

**Degree:**Ph.D.

**Thesis title:**The Ring R.

**University:**Universiteit Stellenbosch (South Africa).

**Advisor:**James W. Brewer.

**Biographical Data:**He worked at Stellenbosch University. He published*Pure states and non-homogeneity*(1976) which contains the acknowledgement: "I wish to express my thanks to Dr G A Reid of Cambridge for his advice and encouragement and to the trustees of the Elsie Ballot Bursary Fund and the Abe Bailey Stipendium for their financial support."

In 1980 he published the paper*The Ring R*which contains the acknowledgement: "This paper forms part of the writer's Ph.D. thesis at the University of Stellenbosch under Professor J W Brewer. I wish to express my thanks to Professor Brewer, whose enthusiasm and example have proved continuing inspirations." Further publications by Le Riche are*R-endomorphisms fixing essential ideals need not be automorphisms*(1982) and*On group near-rings*(1989).

**Michel NGUIFFO-BOYOM**

**Country:**Cameroon

**Year:**1977.

**Degree:**Docteur-ès-Sciences Mathématiques.

**Thesis title:**Pseudo-groupes de Lie extrémaux et quelques applications topologiques [Pseudo-groups of Lie extremals and some topological applications].

**University:**Université de Paris-Sud (Orsay, France).

**Biographical Data:**He worked at the Institut de Mathématiques, Université des Sciences et Techniques du Languedoc, Montpellier, and the University of Montpellier, France.

Has published around 45 works which appear under variations of his name such as Ngiuffo B Boyom, Michel Ngiuffo Boyom, M Ngiuffo Boyom, Michel Ngiuffo B Boyom, etc. These papers include*Une caractérisation de l'involutivité pour les espaces d'endomorphismes*(1973),*Sur un problème de Singer-Sternberg*(1975), Affine embeddings of real Lie groups (1977),*The lifting problem for affine structures in nilpotent Lie groups*(1989),*Structures localement plates isotropes des groupes de Lie*(1993),*Truncated Lie groups and almost Klein models*(2004),*Cohomology and homology of abelian groups graded Koszul-Vinberg algebras*(2009), and*Classification of totally umbilical CR-statistical submanifolds in holomorphic statistical manifolds with constant holomorphic curvature*(2017).

**Mohamed Gawdat GOUDA**

**Country:**Egypt

**Year:**1977.

**Degree:**Ph.D.

**Thesis title:**Protocol Machines: Towards a Logical Theory of Communications Protocols.

**University:**University of Waterloo (Canada).

**Advisor:**Eric G. Manning.

**Biographical Data:**He worked at the University of Texas at Austin, USA. He has advised at least 25 Ph.D. students. The following was written in 1993: "Mohamed Gawdat Gouda was born and raised in Egypt. His first bachelor degree was in engineering (1968), and his second was in mathematics (1971). Both degrees are from Cairo University.

After his graduation, he moved to Canada where he obtained an MA in mathematics from York University (1972), and a Master (1973) and a Ph.D. (1977) in computing science from the University of Waterloo. Later, he moved to the United States of America where he worked for the Honeywell Corporate Technology Center for three years. In 1980, he moved to the University of Texas at Austin, and has settled there ever since, except for one summer at Bell Labs, one summer at MCC, and one winter at the Eindhoven Technical University. Gouda currently (1993) holds the Mike A Myer Centennial Professorship in Computing Science at the University of Texas at Austin.

Gouda's area of research is distributed and concurrent computing. In this area, he has been working on: abstraction, non-determinism, atomicity, convergence, stability, formality, correctness, efficiency, scientific elegance, and technical beauty (not necessarily in that order). Gouda was the founding Editor-in-Chief of the journal 'Distributed Computing', published by Springer-Verlag in 1985. He was the programme committee chairman of the 1989 SIGCOMM Conference sponsored by Association for Computing Machinery. He was the first program committee chairman for the International Conference on Network Protocols, established by the Institute of Electrical and Electronics Engineers Computer Society in 1993. Gouda is an original member of the Austin Tuesday Afternoon Club. In his spare time, he likes to design network protocols and prove them correct for fun."

Here are a few examples of his work:*Closed covers: to verify progress for communicating finite state machines*(1984);*The elusive atomic register revisited*(1986);*The virtue of patience: Concurrent programming with and without waiting*(1990);*Stabilizing communication protocols*(1991);*Elements of network protocol design*(1998);*Batch rekeying for secure group communications*(2001);*Firewall design: Consistency, completeness, and compactness*(2004);*Routing on a logical grid in sensor networks*(2004);*Reliable bursty convergecast in wireless sensor networks*(2007);*Diverse firewall design*(2008);*Firewall policy queries*(2009);*The best keying protocol for sensor networks*(2013); and*Hardness of firewall analysis*(2017).

**Edward Reinier SWART**

**Country:**South Africa

**Year:**1978.

**Degree:**Ph.D.

**Thesis title:**A Contribution to the Four-Colour Theorem.

**University:**University of the Witwatersrand (Johannesburg, South Africa).

**Advisor:**Derek S. Henderson.

**Biographical Data:**He worked at the University of Rhodesia, the University of Waterloo, Canada, the University of Guelph, Canada, and Okanagan University College, Kelowna, Canada. He spent time at the University of Waterloo where he was a guest of Bill Tutte.

He has published ten papers including*Some basic theorems on the abstract theory of Kempe-chain interchanges*(1976),*A systematic approach to the determination of reducible configurations in the four-color conjecture*(1978),*The philosophical implications of the four-color problem*(1980),*A factorial faceted, factorial extreme point polytope crafted from the assignment polytope*(2001), and*Using matching to detect infeasibility of some integer programs*(2017).

**Heneri Amos Murima DZINOTYIWEYI (b. 15.03.1950)**

**Country:**Zimbabwe

**Year:**1978.

**Degree:**Ph.D.

**Thesis title:**Equi-regular Measures and Measures continuous under Translation on Topological Semigroups.

**University:**University of Aberdeen (UK).

**Advisor:**Alan T. Paterson.

**Biographical Data:**He obtained his M.Sc. and Ph.D. at the University of Aberdeen, Scotland. He is the former Minister of Science and Technology Development, Zimbabwe, nominated in 2009 for the post by Prime Minister and Movement for Democratic Change leader Morgan Tsvangirai as part of the bipartisan government of national unity.

He was previously: Full professor and dean of science at the University of Zimbabwe; chairman of the Zimbabwe Integrated Programme (ZIP); lecturer in mathematics at the University of Nairobi; lecturer in mathematics at the University of Zimbabwe; chairman of the mathematics department at the University of Zimbabwe; chairman of the Southern Africa Mathematical Sciences Association; chairman of the Scientific Council of Zimbabwe; second vice president of the Panafrican Union for Science and Technology (PUST); and chairman of the Industrial Development Committee, Research Council of Zimbabwe. He has been a member of the Programme Management Group of the Commonwealth Partnership for Technology Management.

He has published around 30 papers including*Locally quasi-invariant measures*(1977),*On the analogue of the group algebra for locally compact semigroups*(1978),*Nonseparability of quotient spaces of function algebras on topological semigroups*(1982),*Uniformly continuous functions on some topological semigroups*(1986),*A characterisation of absolutely continuous measures on topological semigroups*(1994), and*Non-Archimedean harmonic analysis on topological semigroups. II*(1997).

**Hamad M. YEHIA (b. 03.04.1945)**

**Country:**Egypt

**Year:**1978.

**Degree:**Ph.D.

**Thesis title:**Qualitative analysis of the problem of rotation of a rigid body about a fixed point.

**University:**Moscow State University (Russia).

**Advisor:**Vladimir Grigorevich Demin.

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**Year:**1986.

**Degree:**D.Sc.

**University:**Moscow State University (Russia).

**Biographical Data:**He worked at Mansoura University, Egypt. He has published over 50 papers including*On the stability of the planar motions of a rigid body around a fixed point in a Newtonian force field*(Russian) (1981),*Reduction of the equation of motion of a rigid body about a fixed point to one differential equation*(1984),*Generalized natural mechanical systems of two degrees of freedom with quadratic integrals*(1992),*On the stability of motion of a gyrostat about a fixed point under the action of non-symmetric fields*(1999),*On certain two-dimensional conservative mechanical systems with a cubic second integral*(2002),*The master integrable two-dimensional system with a quartic second integral*(2006), and*Regular precession of a rigid body (gyrostat) acted upon by an irreducible combination of three classical fields*(2017).

**Jack Green OKECH**

**Country:**Kenya

**Year:**1978.

**Degree:**D.Ed.

**Thesis title:**A comparative analysis of mathematical knowledge and mathematical attitude between urban and suburban elementary school teachers.

**University:**Texas Southern University (TX, USA).

**Biographical Data:**His thesis describes knowledge and attitudes of teachers in urban and suburban elementary school and finds that there is no difference except for new teachers, teachers with more than eleven years experience and science teachers. In all these cases the knowledge and attitudes of suburban teachers is better than that of urban teachers.

He worked in the Faculty of Education, Kenyatta University, Nairobi, Kenya.

He has supervised around 10 Ph.D. students and published around 10 papers including*Across Cultural Analysis of Mathematics Attitudes of high school Students and Skills Required for Employment*(1987),*Innovation in a Kenyan B.Ed. (Primary) Course*(1989),*Pedagogy in Teaching at the University*(1997), and*Effective Teaching as a factor of Teachers' Attitude Towards Students*(1998).

**Jan Hendrik FOURIE**

**Country:**South Africa

**Year:**1979.

**Degree:**Ph.D.

**Thesis title:**Operators factoring compactly through a BK-Space.

**University:**Potchefstroomse Universiteit (South Africa).

**Advisor:**Johan Swart.

**Biographical Data:**He worked at the Potchefstroom University for Christian Higher Education, Potchefstroom, South Africa, and at the North-West University, Potchefstroom.

He has published around 40 papers including*Banach ideals of p-compact operators*(1978),*Projections and embeddings of locally convex operator spaces and their duals*(1984),*Banach space sequences and projective tensor products*(2003),*Equivalent Banach operator ideal norms*(2012), and*On p-convergent operators on Banach lattices*(2018).

He is a co-author of the book*The metric theory of tensor products. Grothendieck's résumé revisited*(2008).

**Ionel Michael NAVON (b. 28.04.1940)**

**Country:**South Africa

**Year:**1979.

**Degree:**Ph.D.

**Thesis title:**Numerical Methods for the Solution of the Shallow-Water Equations in Meteorology.

**University:**University of the Witwatersrand (Johannesburg, South Africa).

**Advisors:**David Harris Jacobson and Anthony Michael Starfield.

**Biographical Data:**He worked at Florida State University, Tallahassee, USA. He was awarded a B.Sc. (Mathematics, Physics and Meteorology) from the Hebrew University of Jerusalem (1967), an M.Sc. (Meteorology) from the Hebrew University of Jerusalem (1971), and a Ph.D. (Applied Mathematics) (1979). He worked as a Research Assistant, Hebrew University of Jerusalem (1967-1970), Tel-Aviv University (1970-73), Israeli Meteorological Service (1974-75), National Research Institute for Mathematical Sciences, Council for Scientific and Industrial Research, South Africa (1976-85), Florida State University (1985-).

He has over 200 publications including*A linear ADI method for the shallow-water equations*(1980),*A Numerov-Galerkin technique applied to a finite-element shallow-water equations model with enforced conservation of integral invariants and selective lumping*(1983),*Analysis of the Turkel-Zwas scheme for the two-dimensional shallow water equations in spherical coordinates*(1997),*On a posteriori pointwise error estimation using adjoint temperature and Lagrange remainder*(2005),*Reduced-order modelling of an adaptive mesh ocean model*(2009),*Non-parametric calibration of the local volatility surface for European options using a second-order Tikhonov regularization*(2014), and*Efficiency of randomised dynamic mode decomposition for reduced order modelling*(2018).

**David RACE (b. 09.07.1954)**

**Country:**South Africa

**Year:**1979.

**Degree:**Ph.D.

**Thesis title:**The Spectral Theory of Complex Sturm-Liouville Operators.

**University:**University of the Witwatersrand (Johannesburg, South Africa).

**Advisor:**Ian Knowles.

**Biographical Data:**He was born in Middlesbrough, Yorkshire, England. He was awarded a B.Sc. from the University of Cambridge (1975), an M.Sc. from the University of Dundee, Scotland (1977) and a Ph.D. from the University of Witwatersrand (1979). He worked as an Assistant lecturer at the University of Witwatersrand (1977-78), a Lecturer (1979-81), and a Senior Lecturer (1982-83). In 1984 he moved to England and was appointed as a Lecturer at the University of Surrey, Gilford.

He has over 30 publications including*On necessary and sufficient conditions for the existence of Carathéodory solutions of ordinary differential equations*(1977),*On the location of the essential spectra and regularity fields of complex Sturm-Liouville operators*(1980),*The theory of J-selfadjoint extensions of J-symmetric operators*(1985),*On the commutativity of certain quasidifferential expressions*(1990), and*Self-adjointness for the Weyl problem under an energy norm*(1995).

**Ali Seif A. MSHIMBA (b. 31.01.1948)**

**Country:**Tanzania

**Year:**1979.

**Degree:**Dr.rer.nat.

**Thesis title:**Konstruktion von Lösungen nichtlinearer elliptischer Differential-gleichungssysteme erster Ordnung in der Ebene durch komplexe Methoden im Sobolev - Raum W sub {1,p} (G) (insbesondere Lösung des Dirichlet - Randwertproblems mit Randwerten aus dem Slobodeckij - Raum W sub {s,p} (L), s = 1 - 1/p) [Construction of Solutions of Nonlinear Systems of Elliptic Differential Equations of First Order in the Plane Using Complex Methods in the Sobolev Space W sub{1, p} (G) (in Particular the Solution of the Dirichlet Boundary Value Problem with Boundary Values from the Sobolev Space W sub {s, p}(L), s = 1 - 1/p)].

**University:**Martin Luther University (Halle - Wittenberg, Germany).

**Advisor:**Wolfgang Tutschke.

**Biographical Data:**He worked at the University of Dar es Salaam, Tanzania, and the State University of Zanzibar, Tanzania.

He has published around 30 papers including*On the L_p norms of some integral operators*(1983),*On the Hilbert boundary value problem for holomorphic function in Sobolev spaces*(1988),*On the solution of a mixed boundary value problem for an elliptic differential equation in Sobolev spaces*(1991), and*On the existence of a solution in weighted Sobolev space to the Riemann-Hilbert problem for an elliptic system with piecewise continuous boundary data*(2006).

**Patrick Azele PHIRI (b. 25.11.1951)**

**Country:**Zambia

**Year:**1979.

**Degree:**Ph.D.

**Thesis title:**Equilibrium points and control problems in dynamic urban modelling.

**University:**University of Leeds (UK).

**Advisors:**F. A. Goldworthy, A. G. Wilson and J. Rubio.

**Biographical Data:**He was born in Chipata, Zambia, the son of Sandikonda Augustine Phiri and Christina Titumenji. He was awarded a B.Sc. (1974) from the University of Zambia, Lusaka, am M.Sc. (1976) from the University of Zambia. and a Ph.D. (1979) from the University of Leeds, England. He worked as a Lecturer at the University of Zambia (1979-82), a Lecturer at the University of Swaziland, Kwaluseni (1982-89), Senior Lecturer (1990-). He served as Head of the Mathematics Department of the University of Swaziland (1984-90) and Assistant Dean of the Faculty of Science of the University of Swaziland (1984-88).

He married Hilda Robo Msonda on 15 March 1980; they have five children: Andrew, Margaret, Joyce, Patrick, and Junior.

He has published papers including*Calculation of the Equilibrium Configuration of Shopping Facility Sizes*(1980),*Baer lattices*(1994),*A comparison of assessment by closed book and open book tests*(2006), and*An investigation of Zambian mathematics student teachers' technological pedagogical content knowledge*(2018).

**Josephat Martin HARVEY (12.11.1949-18.02.2011)**

**Country:**Zimbabwe

**Year:**1979.

**Degree:**Ph.D.

**Thesis title:**Factorisations, auto-triviality, pseudo-topological functors and topology.

**University:**University of Zimbabwe (Harare, Zimbabwe).

**Biographical Data:**Access his biography at THIS LINK

**Henry Amadalo MULINDI (b. 15.12.1941)**

**Country:**Kenya

**Year:**1979.

**Degree:**D.Ed.

**Thesis title:**Guidelines for pure and applied modern mathematics curriculum development for secondary schools in Kenya.

**University:**Columbia University Teachers College (New York, USA).

**Biographical Data:**His father David Mulindi was a teacher and became president of the Kenya National Union of Teachers. Henry was born in Maragoli, Kenya. He studied at Kakamega High School, graduating in 1960, and was awarded a grant to study in the United States. He studied at the Technical Institute in Morrisville, and then to the State University College in Buffalo, supported by a scholarship from the Quakers in Upstate New York, in 1964 and earned a B.S. in physics in June 1966. As well as teaching mathematics, he became President of the African World Music Associates and a D.J. on Radio WKCR 89.9 FM in New York.

**Doron Shaul LUBINSKY (b. 28.09.1955)**

**Country:**South Africa

**Year:**1980.

**Degree:**Ph.D.

**Thesis title:**Exceptional Sets ofPadé Approximants.

**University:**University of the Witwatersrand (Johannesburg, South Africa).

**Advisor:**Colin John Wright.

**Biographical Data:**He was born in Johannesburg, South Africa, the son of Israel Emmanuel and Zivia Lubinsky. He was awarded a B.Sc. by the University of the Witwatersrand (1977) followed by a Ph.D. from the same university. Worked as a postdoctoral fellow at Technion, Haifa, Israel (1980-1982), then a Research Officer for the Council for Scientific and Industrial Research, Pretoria, South Africa (1982-1989). He was a Professor at Witwatersrand University, Johannesburg, from 1989 until he moved to the Georgia Institute of Technology, Atlanta, USA. He married Jennifer Miller on 9 February 1992.

MathSciNet lists 266 papers by Doron Lubinsky mostly on approximation theory and expansions. His papers include*Diagonal Padé approximants and capacity*(1980),*Weights on the real line that admit good relative polynomial approximation, with applications*(1987),*Distribution of poles of diagonal rational approximants to functions of fast rational approximability*(1991),*Necessary and sufficient conditions for mean convergence of Lagrange interpolation for Freud weights*(1995),*Convergence of product integration rules for weights on the whole real line*(2000),*Weights whose biorthogonal polynomials admit a Rodrigues formula*(2006),*Averages of ratios of Christoffel functions for compactly supported measures*(2011), and*Mean convergence of interpolation at zeros of Airy functions*(2018).

**Simplice DOSSOU-GBETE**

**Country:**Benin

**Year:**1980.

**Degree:**Doctorat 3ème cycle.

**Thesis title:**Contribution à l'étude des fonctions aléatoires.

**University:**Université Paul Sabatier (Toulouse, France).

**Advisor:**Pierre Ettinger.

**Biographical Data:**He worked at Université de Pau et des Pays de l'Adour in Pau, France. He works on statistics, particularly on time series and stochastic processes.

His papers include*A note on some stationary, discrete-time, scalar linear processes*(1977),*Identification and preliminary estimation of ARMA type processes: some comments*(1980),*Asymptotic study of eigenelements of a sequence of random selfadjoint operators*(1991),*Biplots for matched two-way tables*(2002),*Factorial experimental designs and generalized linear models*(2005),*Stochastic dependence modelling using conditional elliptical processes*(2012), and*Ties in one block comparison experiments: a generalization of the Mallows-Bradley-Terry ranking mode*l (2017).

**Gaston Mandata NGUEREKATA (b. 20.05.1953)**

**Country:**Central African Republic

**Year:**1980.

**Degree:**Ph.D.

**Thesis title:**Remarques sur les Equations Differentielles Abstraites [Remarks on abstract differential equations].

**University:**Université de Montréal (Canada).

**Advisor:**Samuel D. Zaidman.

**Biographical Data:**He was born in Paoua, Central African Republic. He received his undergraduate degree and Ph.D. from the University of Montreal in Canada. He then attended the University of California at Berkeley as a post-doctoral Fulbright scholar. He taught at the University of Quebec at Trois-Rivieres, the Polytechnical School of Montreal (Canada), the University of Bangui (Central African Republic) and Daemen College (Buffalo) before joining Morgan State University, Maryland, USA, in 1996. He was a visiting scholar in several institutions: University of Montreal, Laval University in Quebec, Canada, the University of California at Berkeley, and the State University of New York at Buffalo. He is a full Professor and a former Dean, Vice-Rector and Rector of the University of Bangui.

Currently, he is Chair of the Mathematics Department of Morgan State University. He was High Commissioner and deputy Minister of Science, Technology and Environment from 1987 to 1992, then Minister and Spokesman to the Head of State (1992-1993) in the Central African Republic. He is Commander in the order of Merit and a recipient of France's Legion of Honour. He has participated in many international conferences worldwide on Science, Environment and Higher Education. As a former Vice-President of the African Ministerial Conference on Environment, he attended the United Nations Conference on Environment and Development held in Rio de Janeiro, Brazil, in 1992, as Spokesman of the African Ministerial group.

He has over 200 publications including the papers*On almost-periodic perturbation of exponentially dichotomic abstract differential equations*(1982),*Some remarks on asymptotically almost automorphic functions*(1988),*On almost automorphic differential equations in Banach spaces*(1999),*On some perturbations of some abstract differential equations*(2003),*On the topological structure of almost automorphic and asymptotically almost automorphic solutions of differential and integral equations in abstract spaces*(2004),*Almost automorphic solutions for partial functional differential equations with infinite delay*(2007),*Existence of mild solutions of some semilinear neutral fractional functional evolution equations with infinite delay*(2010),*Almost automorphic functions of order n and applications to dynamic equations on time scales*(2014), and*Recurrence of bounded solutions to a semilinear integro-differential equation perturbed by Lévy noise*(2018).

**Amal RASHED**

**Country:**Egypt

**Year:**1981.

**Degree:**Ph.D.

**Thesis title:**A Study of Fuzzy Variables and Some Comparisons with Random Variables.

**University:**University of Sheffield (UK).

**Advisor:**Marepalli Bhaskara Rao.

**Biographical Data:**He worked in the Mathematics Department, South Valley University, Qena, Egypt. He undertakes research in Computer Security and Reliability.

His papers include*Some comments on fuzzy variables*(1981),*A Study and modification Gray-Scale image Enhancement by Using Standard Deviation*(2007), and*Facial Features Detection and Localization*(2018).

**Mamadouba TOURE**

**Country:**Guinea

**Year:**1981.

**Degree:**Ph.D.

**Thesis title:**Etude de quelques éspaces modulaires definiés par de fonctions dépendants d'un paramètre [Study of some modular spaces defined by functions dependent on one parameter].

**University:**Uniwersytet im Adama Mickiewicza (Pozna, Poland).

**Advisor:**Julian Musielak.

**Biographical Data:**He worked at the Adam Mickiewicz University, Poznan, Poland.

He has published around 10 papers including*Contribution aux espaces dénombrablement modulaires*(1981),*Contribution aux espaces d'Orlicz*(1982),*Espaces dénombrablement modulaires définis par une mesure purement atomique*(1988), and*Continuité modulaire des fonctions d'un sous-espace d'Orlicz*(1989).

**Harrisson RATSIMBA-RAJOHN**

**Country:**Madagascar

**Year:**1981.

**Degree:**Doctorat 3ème cycle.

**Thesis title:**Etude de deux méthodes de mesures rationnelles : la commensuration et le fractionnement de l'unité, en vue d'élaboration de situations didactiques.

**University:**Université Bordeaux 1 (France).

**Advisor:**Guy Brousseau.

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**Year:**1992.

**Degree:**Doctorat d'Université.

**Thesis title:**Contribution à l'étude de hiérarchie implicative. Application à l'analyse de la gestion didactique des phénomènes d'ostension et de contradictions [Contribution to the study of implicative hierarchy. Application to the analysis of didactic management of the phenomena of exposition and of contradiction].

**University:**Université Rennes 1 (France).

**Advisors:**Régis Gras and Guy Brousseau.

**Biographical Data:**He was the son of Harris Ratsimba-Rajohn and Julie Régine Bakolalao Razafimahazo. He worked at the University of Rennes and the Laboratoire de didactique des Sciences et Techniques, Talence, France which is part of the University of Bordeaux.

His works include*Étude didactique de l'introduction ostensive des objets mathématiques sur les mathématiques*(1977),*Eléments d'étude de deux méthodes de mesures rationnelles*(1982),*Les macles de contradiction: outil d'aide à l'analyse didactique et instrument de gestion de situation didactique*(1993),*Vingt ans de didactique des mathématiques en France. La méthode d'analyse implicative en didactique. Application*(1994),*Guide d'utilisation des principales fonctionnalités du logiciel CHIC*(2009), and*Les jeux vidéo en médiathèque: de la maîtrise des enjeux vers la construction d'une politique documentaire*(2012).

**Overtoun Malandula G. JENDA (b. 29.08.1954)**

**Country:**Malawi

**Year:**1981.

**Degree:**Ph.D.

**Thesis title:**On Injective Resolvents.

**University:**University of Kentucky (USA).

**Advisor:**Edgar Earle Enochs.

**Biographical Data:**He served as Associate Provost for Diversity and Multicultural Affairs and Associate Dean of the College of Sciences and Mathematics at Auburn University, Auburn, Alabama, USA, and then became Associate Dean for Minority Programs and Special Academic Projects and Professor of Mathematics at Auburn University. Prior to coming to Auburn, he was a faculty member at the University of Kentucky, University of Botswana, and University of Malawi. He received a Ph.D. and M.A. in Mathematics from the University of Kentucky and a B.S. in Mathematics (with Distinction) from the University of Malawi.

His area of research is Homological Algebra, and he has published two graduate and research level books and over 60 research articles in this area including*Balanced functors applied to modules*(1985),*Syzygies of resolvents over Gorenstein rings*(1990),*Resolutions by Gorenstein injective and projective modules and modules of finite injective dimension over Gorenstein rings*(1995),*Compact coGalois groups*(2000),*The existence of Gorenstein flat covers*(2004),*Closure under transfinite extensions*(2007), and*Submonoids of the formal power series*(2017).

He has been the Principal Investigator for numerous grants focusing on STEM education, including the US-Africa Collaborative Research Network in Mathematical Sciences and Masamu Program, Alabama Alliance for Students with Disabilities in STEM, INCLUDES South East Alliance for Persons with Disabilities in STEM, Research Experience for Undergraduates (REU) in Algebra and Discrete Mathematics, MAKERS Scholarships in STEM (S-STEM), GK-12 Fellows in Science and Mathematics for East Alabama Schools, Alabama Alliance for Graduate Education and the Professoriate, and the Louis Stokes Alliance for Minority Participation (LSAMP) program and LSAMP Bridge to the Doctorate program.

**David Olarewaju OLAGUNJU (b. 08.09.1948)**

**Country:**Nigeria

**Year:**1981.

**Degree:**Ph.D.

**Thesis title:**Bifurcation and Stability of Propagating Oscillatory Flames.

**University:**Northwestern University (Evanton, Illinois, USA).

**Advisor:**Bernard Matkowsky.

**Biographical Data:**He was born in Nsuta, Ghana, the son of Elijah Adeyeye and Deborah Arinpe. Studied at Ahmadu Bello University, Zaria, Nigeria (B.Sc 1974; M.Sc. 1977) and Northwestern University, Evanton, Illinois, USA (Ph.D. 1981). He worked at Ahmadu Bello University as an Assistant Lecturer (1976-79), Lecturer II (1979-82), Lecturer I (1982-85), the Senior Lecturer, Nigerian Defense Academy, Kaduna (1985-1988) becoming an assistant professor at the University of Delaware, Newark in 1989. He married Elizabeth O Olawole, on 13 December 1975; they have four children: Deji, Yemisi, Segun, and Adeola.

He had published over 20 papers including*Pulsations in a burner-stabilized premixed plane flame*(1981),*Spinning waves in gaseous combustion*(1982),*Elastic instabilities in cone-and-plate flow: small gap theory*(1995),*Secondary flow in non-isothermal viscoelastic parallel-plate flow*(2005), and*Analytical and numerical solutions for torsional flow between coaxial discs with heat transfer*(2008).

**Olawoye Soladoye ADEGBOYE**

**Country:**Nigeria

**Year:**1981.

**Degree:**Ph.D.

**Thesis title:**On Testing against Restricted Alternatives in Gaussian Models.

**University:**Bowling Green State University (Ohio, USA).

**Advisor:**Arjun Kumar Gupta.

**Biographical Data:**He worked at the University of Ilorin, Ilorin, Nigeria and at Ladoke Akintola University of Technology, Ogbomoso, Oyo State, Nigeria.

His papers include*On testing against restricted alternatives for Penrose model*(1985),*Parameter selection for a delay equation (1990), The optimal classification rule for exponential populations*(1993),*Statistical tables for class work and examination*(1995), and*Equations for generating normally distributed random variables with specified intercorrelation*(2010).

**Alewyn Petrus BURGER (b. 20.06.1951)**

**Country:**South Africa

**Year:**1981.

**Degree:**Ph.D.

**Thesis title:**The Asymptotic Distribution of Sequential Rank Statistics under Fixed Alternatives.

**University:**University of South Africa (Pretoria, South Africa).

**Advisor:**Frederick Lombard.

**Biographical Data:**He was born in Bloemfontein, South Africa, the son of Alewyn Petrus Burger and Elsa Maria Verster. He attended the Rand Afrikaans University, Johannesburg (B.Sc. 1974), the University of South Africa, Pretoria (Ph,D, 1981), the American Electric Power, Unisa School of Business, Pretoria (1986) and undertook postgraduate studies at Harvard University, USA, in 1991. He worked as a Lecturer in Statistics at the Rand Afrikanans University (1973-1979), an operations researcher at the United Building Society, Johannesburg (1979-1982) becoming assistant general manager technical at the Building Society (1983-1985), general manager technical at the same Building Society (1986-1989), executive director technical (1990-1991). In 1991 he was appointed as executive director technical at the Amalgamated Banks of South Africa, Johannesburg. Board directors Saswitch, Building Socs. Data Bureau, Automated Clearing Bureau. He married Annette Verhoef on 15 December 1973; they have three children: Helouise, Alewyn, and Elsa.

Here is the Abstract of his thesis: "A number of basic problems in non-parametric statistics are analysed, namely one-sample symmetry, two-sample shift and independence. The relevant test statistics are based on serial ranks and are by nature of serial ranks suitable for the sequential testing of hypothesis.

A class of fixed non-parametric test procedures are derived for the independence problem. The asymptotic distribution of the statistics are obtained under the hypothesis and contiguous alternatives by projecting the locally most powerful parametric test statistics into the class of linear serial rank statistics.

Concerning the symmetry and two-sample problems, invariance principles are derived for general regression statistics, which include the two-sample case, and statistics suitable for testing the hypothesis of symmetry. These invariance principles are derived under the hypothesis by direct application of the Lindeberg condition, under the assumption that the score function is increasing, continuous and square-integrable on (0, 1).

Under a further restriction, i.e. that the score function has a bounded second derivative, invariance principles for serial rank statistics are derived under fixed alternatives by making use of a further projection technique, originally used by Reynolds (1975) to obtain an invariance principle for a sequential test procedure for the hypothesis of symmetry.

An invariance principle is derived for a multi-stage test for symmetry based on serial ranks, from which analytic expressions are obtained for the values of the decision constants which were calculated empirically by other authors.

Finally Monte Carlo simulation results on various serial rank statistics provide an indication of the speed of convergence to the normal distribution."

**Pascal Kossivi ADJAMAGBO (b. 1956)**

**Country:**Togo

**Year:**1981.

**Degree:**Doctorat 3ème cycle.

**Thesis title:**Déterminant non-communicatif et systèmes differentiels [Skew determinant and differential systems].

**University:**Université de Paris 6 (France).

**Advisor:**Jean Vaillant.

+

**Year:**1991.

**Degree:**Doctorat d'état.

**Thesis title:**Fondements de la théorie des déterminants sur un domaine de Ore [Fundaments of the theory of determinants on an Ore domain].

**University:**Université de Paris 6 (France).

**Advisor:**Jean Vaillant.

**Biographical Data:**He worked at the Université Pierre-et-Marie-Curie, Paris VI. In 2012 he was appointed to the African Union's science, technology and innovation advisory panel. He founded the People's Movement for Freedom. He became President of the Council of Universities and Panafrican Experts.

He had published around 30 papers including*Déterminant sur des anneaux filtrés*(1981),*Réseaux sur des anneaux filtrés*(1982),*Sur le groupe de Whitehead et les systèmes d'équations aux dérivées partielles*(1984),*Sur l'effectivité du lemme du vecteur cyclique*(1988),*A new inversion formula for a polynomial map in two variables*(1991),*On separable algebras over a U.F.D. and the Jacobian conjecture in any characteristic*(1995), and*A proof of the equivalence of the Dixmier, Jacobian and Poisson conjectures*(2007).

**Idris ASSANI**

**Country:**Benin

**Year:**1981.

**Degree:**Doctorat 3ème cycle.

**Thesis title:**Multivalued Conditional Expectation and Multivalued Martingales.

**University:**Université de Paris 6 (France).

**Advisor:**R. Pallu de la Barriere.

+

**Year:**1986.

**Degree:**Doctorat d'état.

**Thesis title:**Contribution to the Ergodic Theory of Operators, and Multivalued Maps with values in a Banach Space.

**University:**Université de Paris 6 (France).

**Advisor:**Antoine Brunel.

**Biographical Data:**He was born in Niger but is Beninese. He studied in France at University Paris Dauphine (M.S. Commerce 1981), and at the Université Pierre-et-Marie-Curie, Paris VI (Doctorat 3ème cycle 1981; Doctorat d'état 1986).

Here is his own description of his experiences in the United States, "I came to the USA in 1988 knowing very little about the country and trusting the University of North Carolina, Chapel Hill, Mathematics department who invited me. But soon enough I find myself forced to go to the courts and to the American Mathematical Society Council to have my work and abilities recognized. My legal actions were settled in 1995, and in that year I was finally promoted to the rank of Associate Professor with tenure. As part of the settlement (may be to make up for all that had gone wrong) I was allowed to apply for promotion to Full Professor one year later. I was promoted to Full Professor after a full review on 1 July 1996. I then became the first black mathematician to be a tenured associate professor and the first to be promoted to the rank of Full professor at the oldest public university in the country (more than 200 years old).

I am certainly the only one in the history of the department to be promoted from Associate to Full professor in one year. The struggle is not over as mentalities are very difficult, if not impossible, to change and it is not easy to stay here. I used my struggle to open up the admission of Black graduate students in the department. I was told that there was only one Black student in the entire history of the department who got a Ph.D. and it was before I came to Chapel Hill. There are now 3 Black graduate students in the department preparing for a Masters and a Ph.D."

Idris Assani has over 60 publications including the papers*Une caractérisation des Banach réticulés faiblement séquentiellement complet*(1984),*On the loss of information in the transition from deterministic systems to probabilistic processes*(1986),*Rota's alternating procedure with nonpositive operators*(1989),*Strong laws for weighted sums of independent identically distributed random variables*(1997),*Properties of Wiener-Wintner dynamical systems*(2001),*An L1 counting problem in ergodic theory*(2005),*On the one-sided ergodic Hilbert transform*(2007),*Pointwise characteristic factors for the multiterm return times theorem*(2012), and*Extension of Wiener-Wintner double recurrence theorem to polynomials*(2018).

He also published the book*Wiener Wintner ergodic theorems*(2003).**Ali Mostafa MOSHARRAFA (11.07.1898-16.01.1950)**

**Country:**Egypt

**Year:**1923.

**Degree:**Ph.D.

**Thesis title:**The Quantum Theory of Stark and Zeeman Effects.

**University:**University of London (UK).

**Advisor:**Owen W. Richardson.

+

**Year:**1924.

**Degree:**D.Sc.

**University:**University of London (UK).

**Biographical Data:**Access his biography at THIS LINK.

**Caleb GATTEGNO (11.11.1911-28.07.1988)**

**Country:**Egypt

**Year:**1937.

**Degree:**Ph.D.

**Thesis title:**Les cas essentiellement géodésiques des équations de Hamilton-Jacobi intégrables par séparation des variables [The essentially geodesic cases of Hamilton-Jacobi equations integrable by the separation of variables]

**University:**Basle University (Switzerland).

**Biographical Data:**He was born on 11 November 1911.

Access his biography at THIS LINK.

**Attiya Abd-El-Salam ASHOUR (b. 13.09.1924-17.04.2017)**

**Country:**Egypt

**Year:**1948.

**Degree:**Ph.D.

**Thesis title:**The Reduction of Electric Currents in Non-uniform Thin Plane Sheets and Spherical Shells, Having Special Distributions of Conductivity with Application of Geomagnetism.

**University:**University of London (UK).

**Advisor:**Albert T. Price.

+

**Year:**1967.

**Degree:**D.Sc.

**University:**University of London (UK).

**Biographical Data:**Access his biography at THIS LINK.

**Chike Edozien Umuezei OBI (21.04.1921-13.03.2008)**

**Country:**Nigeria

**Year:**1950.

**Degree:**Ph.D.

**Thesis title:**Periodic Solutions of Non-linear Differential Equations of Second Order.

**University:**University of Cambridge (Cambridge, UK).

**Advisors:**Mary Lucy Cartwright and J. E. Littlewood.

**Biographical Data:**Access his biography at THIS LINK.

**Hanno RUND (26.10.1925-05.01.1993)**

**Country:**South Africa

**Year:**1950.

**Degree:**Ph.D.

**Thesis title:**Finsler Spaces Considered as Generalized Minkowskian Spaces.

**University:**University of Cape Town (South Africa).

**Advisor:**Christian Pauc.

**Biographical Data:**Rund was a German mathematician who studied and worked for part of his career in South Africa.

Access his biography at THIS LINK.

**Hendrik Jacobus SCHUTTE (b. 01.05.1924)**

**Country:**South Africa

**Year:**1952.

**Degree:**Ph.D.

**Thesis title:**Oor algebraïse uitbreidinge van primêre ringe [About algebraic extensions of prime rings.

**University:**Rijksuniversiteit Leiden (Netherlands).

**Advisor:**Hendrik Kloosterman.

**Biographical Data:**He worked at Rhodes University, Grahamstown, South Africa and later at the University of Stellenbosch, South Africa. Published around 10 papers including*Polynomials for which the Galois group is imprimitive*(Afrikaans) (1953),*A theorem on the divisibility of polynomials*(Afrikaans) (1954),*Certain classes of ideals in group rings*(1980),*Transcendental and algebraic extensions of commutative rings*(1988), and*Primitive elements for commutative ring extensions*(Afrikaans) (1991).

He also published a number of books including*On algebraic extensions of prime rings*(Afrikaans) (7 editions between 1952 and 1960),*Linear algebra and geometry*(Afrikaans) (1961), and*A course in linear algebra and geometry*(1972).

**Adegoke OLUBUMMO (19.04.1923-26.10.1992)**

**Country:**Nigeria

**Year:**1955.

**Degree:**Ph.D.

**Thesis title:**Studies in the Theory of Linear Spaces.

**University:**University of Durham (Newcastle-Upon-Tyne, UK).

**Advisor:**Werner Rogosinski.

**Biographical Data:**Access his biography at THIS LINK.

**James Ray VANSTONE (03.08.1933-09.04.2001)**

**Country:**South Africa

**Year:**1959.

**Degree:**Ph.D.

**Thesis title:**Generalized Metric Differential Geometry

**University:**University of Natal (Durban, South Africa).

**Advisor:**Hanno Rund.

**Biographical Data:**Access his biography at THIS LINK.

**James Okoye Chucuka EZEILO (17.01.1930-04.01.2013)**

**Country:**Nigeria

**Year:**1959.

**Degree:**Ph.D.

**Thesis title:**Some topics in the theory of non-linear differential equations of the third order.

**University:**University of Cambridge (Cambridge, England UK).

+

**Year:**1989.

**Degree:**D.Sc. honoris causa.

**University:**University of Maiduguri (Nigeria).

+

**Year:**1995.

**Degree:**D.tech. honoris causa.

**University:**Federal University of Technology (Akure, Nigeria).

+

**Year:**1996

**Degree:**D.Sc. honoris causa.

**University:**University of Nigeria (Nsukka, Nigeria).

**Biographical Data:**Access his biography at THIS LINK.

**Ismael Jacob MOHAMED (27.07.1930-06.07.2013)**

**Country:**South Africa

**Year:**1960.

**Degree:**Ph.D.

**Thesis title:**On Series of Subgroups Related to Groups of Automorphisms.

**University:**University of London (UK).

**Advisor:**Kurt Hirsch.

**Biographical Data:**Access his biography at THIS LINK.

**Victor Omololu OLUNLOYO (b. 14.04.1935)**

**Country:**Nigeria

**Year:**1961.

**Degree:**Ph.D.

**Thesis title:**On the Numerical Determination of the Solutions of Eigenvalue Problems of the Sturm-Liouville Type.

**University:**University of St Andrews (Scotland).

**Biographical Data:**Access his biography at THIS LINK.

**Chukuka OKONJO (21.06.1928)**

**Country:**Nigeria

**Year:**1962.

**Degree:**Dr.rer.nat.

**Thesis title:**Über stationäre Null-Eins-Prozesse [About stationary 0-1-processes].

**University:**Universität zu Köln (Germany).

**Advisors:**Ewald Burger and Johann Pfanzagl.

**Biographical Data:**Access his biography at THIS LINK.

**Andries Petrus J. VAN-DER-WALT**

**Country:**South Africa

**Year:**1963.

**Degree:**Ph.D.

**Thesis title:**'n Bydrae tot die nie-kommutatiewe ideaalteorie [Contribution to a non-commutative theory of ideals].

**University:**Potchefstroomse Universiteit (South Africa).

**Advisor:**Hendrik Schutte.

**Biographical Data:**He worked at the Technological University Delft in The Netherlands, and Potchefstroomse Universiteit, the Rand Afrikaans University, and the University of Stellenbosch in South Africa. He has published around 40 papers including*Contributions to ideal theory in general rings*(1964),*Prime ideals and nil radicals in near-rings*(1964),*On the Levitzki nil radical*(1965),*Matrix near-rings*(1986),*On group near-rings*(1989),*Homogeneous maps as piecewise endomorphisms*(1992),*A shrinking lemma for random forbidding context languages*(2000),*Bag context tree grammars*(2008) and*Necessary conditions for subclasses of random context languages*(2013).

He was President of the South African Mathematical Society in 1987 and the following is a report on his presidential address: "In his Presidential Address, "Die Wiskundige en Politiek", delivered at the 1987-AGM of the South African Mathematical Society at Stellenbosch, van der Walt, briefly sketched the extent to which the South African mathematician in performing his task, had been affected by the political dispensation of the time. He mentioned that the number of countries to which we as South Africans scientist may not travel or in which we were just very unwelcome guests was steadily increasing.

The South African Mathematical Society belonged to the International Council of Scientific Unions through the International Mathematical Union, and the International Council of Scientific Unions prescribed that all conferences held under its auspices must be open to all without consideration of, amongst other things, citizenship, and that therefore such conferences may be held only in countries which are prepared to admit everyone to the conference concerned. But, not all conferences were held under the aegis of the International Council of Scientific Unions. Furthermore, even the attendance of International Council of Scientific Unions conferences were not without problems: Delays occurred in the issuing of visas, as when a passport with a valid visa was sent to the applicant by surface mail instead of airmail. Even in the 1980s a considerable number of foreign mathematicians still visited South Africa. The Visitor's Programme of the South African Mathematical Society was under pressure not only because prominent mathematicians refused on principle to come to South Africa, but also because those who did come sometimes found that this was regarded by their colleagues as a dubious action which drew criticism and had to be defended. The President was of the opinion that the attitude of the South African mathematicians under these circumstances should be to:

(i) raise their level of scientific practice - quality is always more difficult to ignore summarily; (ii) persevere and spare no effort to make their contribution worldwide; members were strongly advised to approach the South African International Council of Scientific Unions Secretariat for advice and assistance, especially in the case of International Council of Scientific Unions conferences; (iii) receive in South Africa as many visitors of high standing as possible; (iv) play a more active role in politics."

He died on 31 December 2008.

**Wessel J. KOTZE**

**Country:**South Africa

**Year:**1964.

**Degree:**Ph.D.

**Thesis title:**Iterative Solution of Equations in Linear Topological Spaces.

**University:**McGill University (Canada).

**Advisor:**Hans Wilhelm Eduard Schwerdtfeger.

**Biographical Data:**He was awarded an M.Sc (1961) from McGill University, Canada, for the thesis*On infinitely many algorithms for the solution of an analytic equation*. An Abstract appeared in the Bulletin of the Canadian Mathematical Society with the following note: "It is not customary to abstract Master's theses for the Bulletin, but the Editors feel that there is sufficient originality here to justify a departure from the usual policy."

He worked at the University of Cape Town and Rhodes University, Grahamstown, South Africa. He published over 15 papers including*Notes on numerical analysis. IV. On accelerating iteration procedures with superlinear convergence*(1964),*Approximately normal function algebras which are local*(1980),*Quasicoincidence and quasi-fuzzy Hausdorff*(1986),*Fuzzy sobriety and fuzzy Hausdorff*(1997) and*Lifting of sobriety concepts with particular reference to (L, M)-topological spaces*(2003).

The following obituary was published by Rhodes University: "It is with sadness that we inform staff members of the death of Professor Emeritus Wesley Kotzé, former head of the department of Mathematics, Rhodes University. Professor Kotzé passed away at his home in Somerset West on Wednesday, 3rd May, 2017. He was 79 years old. Wessel Johannes Kotzé was born at Williston but grew up and attended school in Tulbagh, the only son of a music teacher as mother and the Town Clerk as father. After a brilliant matriculation pass, he attended Stellenbosch University and obtained B.Sc. (majoring in mathematics and chemistry), B.Sc. (Hons) and M.Sc. degrees in mathematics, cum laude. He was awarded his Ph.D. in mathematics at McGill University in Montreal, Canada where he taught for a while before returning to South Africa on accepting a post at the University of Cape Town.

In 1983, he was appointed by Rhodes University as head of the Department of Mathematics (Pure and Applied), a post he held until retiring at the end of 2003. During his time at Rhodes University, Prof Kotzé also served as the first Dean of Research, as University Orator and became the founder of the Rhodes University Mathematics Education Project. He was awarded a medal for the Advancement of Mathematics in South Africa by the South African Mathematical Society. He also served as the Managing Editor of 'Questiones Mathematicae', the accredited journal and official organ of the South African Mathematical Society. He was a prominent researcher achieving an NRF B rating.

Starting out as a "crisp" mathematician in the field of functional analysis, in which he had some good publications, his interest turned to "fuzzy" mathematics, especially fuzzy topology. At Rhodes University, he established a school of fuzzy mathematics in the department which became one of the top research institutes in the field. As a former student and colleague, Professor Mike Burton relates that "He knew every established fuzzy mathematician in the world. Literally. His many connections and organisational abilities rapidly grew the school and it produced many MSc and PhD graduates". Some of these are prominent mathematicians such as Prof Burton himself and Drs Tomasz Kubiak, Venkat Murali, Babington Makamba and Pavel Lubczonok. Dr Phetiwe Matutu-Mabizela, the first black woman to graduate with a Ph.D. in mathematics in South Africa, did her Master's degree with Prof Kotzé. His reputation also drew many prominent international mathematicians to visit Rhodes University.

Prof Kotzé also had a great love and knowledge of classical music and fine art. He was a long serving chairperson of the Grahamstown Music Society. Renowned for his discernment, he had a fabulous collection of paintings, prints, sculpture and ceramics of prominent South African and international artists as well as a superb collection of books and furnishings. After retirement, he returned to Cape Town and settled in Marina da Gama. He pursued his love of mathematics by teaching at the African Institute for Mathematical Sciences and of music by contributing to Classical Music Radio. During the last two years, he lived in Somerset West. He suffered from Parkinson's disease, but died suddenly, probably of a heart attack while in the company of dear friends who could assist and comfort him in that extreme hour of need. A liberal man of many gifts, Prof Kotzé made a number of close friends, some of whom were or are prominent artists, musicians and writers. He also, famously, was quick to perceive slights and did not suffer fools gladly: a recipe for a number of choice enemies as well."

**Hermanus H. LEMMER**

**Country:**South Africa

**Year:**1964.

**Degree:**D.Sc.

**Thesis title:**Verdelingsvrye toetsingsmetodes vir die probleem van twee of meer steekproewe.

**University:**University of Pretoria (South Africa).

**Advisor:**David A Stoker.

**Biographical Data:**He worked at the Rand Afrikaans University, Johannesburg, South Africa. He has published around 70 articles on statistics, particularly the statistics of cricket. He publishes papers in statistics journals and in research in sports journals. He has published around 70 papers including*A distribution-free analysis of variance technique for block designs*(1968),*From ordinary to Bayesian shrinkage estimators*(1981),*A test for the median, combining the sign and signed-rank tests*(1987),*Estimation of the batting ability of South African international one-day cricket players*(2001),*The allocation of weights in the calculation of batting and bowling performance measures*(2007),*Performance measures for wicket keepers in cricket*(2011) and*A method to measure choking in cricket*(2015).

He is a fellow of the South African Statistical Association and was president in 1974. The following biography appears in his 2006 paper*Krieketprestasiemaatstawwe. Cricket performance measures*: "Hoffie Lemmer

**John Peter Louis KNOPFMACHER (20.01.1937-29.05.1999)**

**Country:**South Africa

**Year:**1965.

**Degree:**Ph.D.

**Thesis title:**Extensions in Varieties of Groups and Algebras.

**University:**University of Manchester (UK).

**Advisor:**John Frank Adams.

**Biographical Data:**Access his biography at THIS LINK.

**John WAINWRIGHT**

**Country:**South Africa

**Year:**1965.

**Degree:**Ph.D.

**Thesis title:**Invariance Properties of Variational Problems Involving Spinors.

**University:**University of South Africa (Pretoria, South Africa).

**Advisor:**Hanno Rund.

**Biographical Data:**He worked at the University of Waterloo, Canada, and the University of Cape Town, Rondebosch, South Africa. He is a member of the International Astronomical Union in Division J Galaxies and Cosmology. He is a past member of Division VIII Galaxies and the Universe (until 2012) and of Commission 47 Cosmology (until 2015). He has published around 70 papers including*A class of algebraically special perfect fluid space-times*(1970),*Geometric properties of neutrino fields in curved spacetime*(1971),*Some exact cosmological models with gravitational waves*(1979),*Power law singularities in orthogonal spatially homogeneous cosmologies*(1984),*Mathematical cosmology*(1990),*Introduction to dynamical systems*(1994),*Cosmological models from a dynamical systems perspective*(2005),*The dynamics of Lemaître-Tolman cosmologies*(2009), and*Simple expressions for second order density perturbations in standard cosmology*(2014).

He wrote the chapter*Relativistic Cosmology*in the book*G S Hall (ed.), General Relativity. Proceedings of the Forty Sixth Scottish Universities Summer School in Physics, Aberdeen, July 199*5. Here is the Abstract: "These notes contain an introduction to cosmology within the framework of general relativity theory. We discuss the Friedmann-Lemaitre models, with emphasis on the observational parameters, and illustrate the constraints imposed by observations through the use of a cosmological state space. We also characterise the Friedmann-Lemaitre universes within the general class of cosmological models, and discuss their viability as models of the real universe."

He is Professor Emeritus in the Department of Applied Mathematics at the University of Waterloo, Canada.

**Johannes Christiaan DU-PLESSIS**

**Country:**South Africa

**Year:**1965.

**Degree:**Ph.D.

**Thesis title:**Invariance Properties of Variational Principles in General Relativity.

**University:**University of South Africa (Pretoria, South Africa).

**Advisor:**Hanno Rund.

**Biographical Data:**He worked at the University of the Witwatersrand, Johannesburg, South Africa. He published papers including*Tensorial concomitants and conservation laws*(1969),*Polynomial conformal tensors*(1970),*Spin two fields and general relativity*(1972) and*Conformal Killing vector fields on timelike two-surfaces*(1974).

**Duncan H. MARTIN**

**Country:**South Africa

**Year:**1965.

**Degree:**Ph.D.

**Thesis title:**The Local Geometry and Extremal Surfaces of Areal Spaces.

**University:**University of South Africa (Pretoria, South Africa).

**Advisor:**Hanno Rund.

**Biographical Data:**He worked at the University of Natal, Durban, South Africa, and later at the National Research Institute for Mathematical Sciences, Pretoria, South Africa. His papers include*Total convexity for parametric multiple integrals in the calculus of variations*(1970),*On continuous descent functions for polynomial equations*(1976),*Copositive matrices and definiteness of quadratic forms subject to homogeneous linear inequality constraints*(1981),*On the Walach-Zeheb multivariable positivity test*(1983), and*A characterisation of semi-Fredholm operators defined on almost reflexive Banach spaces*(1986).

He was on the editorial board of the journal*Optimal Control Applications & Methods*.

In 2015 he wrote*Useful Flexibilities for African Regional Research and Education Networks*. The paper contains the following Biography: "Duncan Martin was an applied mathematics lecturer and researcher and, from his mid-forties, a general manager of research and ICT services. In 2001 he was appointed as the first CEO of the South African National Research and Education Network, Tertiary Education and Research Network of South Africa, of which he was a founding director. Together with colleagues from Kenya, Malawi, Mozambique and Rwanda, he co-founded the UbuntuNet Alliance in 2006, and served on its Board until his retirement from the Tertiary Education and Research Network of South Africa in January 2013. He now consults to the Alliance and National Research and Education Networks, and is a non-executive director of local companies including E-Schools Network, Internet Service Providers' Association and ZA Central Registry."

**Chan Feng CHAN-MAN-FONG (b. 19.06.1938)**

**Country:**Mauritius

**Year:**1965.

**Degree:**Ph.D.

**Thesis title:**Some stability problems in the theory of flow of elastico-viscous liquids.

**University:**University of Wales (Aberystwyth, UK).

**Advisors:**T.V. Davies and Kenneth Walters.

**Biographical Data:**He was appointed an assistant lecturer at the University College of Wales, Aberystwyth, Wales. He was a visiting Scholar at the University of Delaware, Newark, USA (1966-67). Then he worked at Beijing University, China, the University of Sherbrooke, Sherbrooke, Canada, and Tulane University, New Orleans, USA. He published papers including*The solution of flow problems in the case of materials with memory. II. The stability of plane Poiseuille flow of slightly viscoelastic liquids*(1965),*The explicit form of the differential operator for the Oldroyd rate type constitutive equation*(Chinese) (1984),*Comments on the solutions of boundary value problems in non-Newtonian fluid mechanics*(1996),*Advanced mathematics for applied and pure sciences*(1997),*Perturbation methods, instability, catastrophe and chaos*(1999),*Advanced mathematics for engineering and science*(2003) and*Polar fluid flow between two eccentric rotating cylinders: inertial effects*(2005).

**Alexander Obiefoka Enukora ANIMALU (b. 28.08.1938)**

**Country:**Nigeria

**Year:**1965.

**Degree:**Ph.D.

**Thesis title:**Model Potential in Solids.

**University:**University of Ibadan (Nigeria).

**Advisor:**Volker Heine.

**Biographical Data:**Access his biography at THIS LINK.

**John Harold WEBB (b. 1942)**

**Country:**South Africa

**Year:**1966.

**Degree:**Ph.D.

**Thesis title:**Sequential convergence in locally convex spaces.

**University:**University of Cambridge (UK).

**Advisor:**David John Haldane Garling.

**Biographical Data:**While studying for his doctorate he was at Gonville and Caius College, Cambridge. He published*Perturbation theory for a linear operator*(1967) in which he wrote, "This work was done while I held a Sir Henry Strakosch Memorial Scholarship. I wish to express my sincere thanks to my research supervisor, Dr D J H Garling, for his advice and encouragement." The Sir Henry Strakosch Memorial Scholarship was from the University of Cape Town. He then worked at the University of Cape Town, South Africa. Some of his later work was supported by a grant from the South African Council for Scientific and Industrial Research.

He published around 16 papers including*Linear operators with closed range*(1968),*Lifting convergent sequences with networks*(1971),*Sequentially barrelled spaces*(1973),*Inductively reflexive spaces with extended Schauder decompositions*(1978), and*Subspaces of barrelled spaces*(1980).

He received a Distinguished Teacher Award, the highest accolade awarded to teaching staff at all levels within the University of Cape Town, in 1985.

Two of his Ph.D. students at the University of Cape Town were Neill R C Robertson who was awarded a doctorate for his thesis*Separability and Metrisability in Locally Convex Spaces*(1991), and Tracy S Craig who was awarded a doctorate for her thesis*Promoting Understanding in Mathematical Problem-solving Through Writing: A Piagetian Analysis*(2007).

The following is on the University of Cape Town website (dated 26 February 2008): "The publication of the 150th edition of the high school magazine Mathematical Digest was celebrated in the Department of Mathematics last week. Founded by Emeritus Professor John Webb in 1971, the magazine has appeared quarterly without a break ever since. Way back then, Webb noticed that there was little on mathematics for children to read at school other than textbooks.

'It is strange because in other areas of school work, you watch movies on history, you read poetry and novels, you learn your language at home, you experience music and drama and art outside the school curriculum - but the learning of mathematics is entirely concentrated within the school curriculum,' he says.

Filling this gap, well over 3 000 articles have appeared in the 150 editions of Mathematical Digestsince 1971. They include readable articles on mathematics just outside the school curriculum, anecdotes of famous mathematicians from Pythagoras to Stephen Hawking, news of mathematical Olympiads, puzzles and problems with Sharp calculators offered as prizes.

Today, one copy of every edition of Mathematical Digest is sent free to 2000 high schools across South Africa, with support from the Old Mutual Foundation. With further support from the Western Cape Department of Education, all Dinaledi schools in the Western Cape receive ten copies of every edition."

**S. G. REINACH**

**Country:**South Africa

**Year:**1966.

**Degree:**D.Sc.

**Thesis title:**Distribution-Free Methods in Experimental Design.

**University:**University of Pretoria (South Africa).

**Advisor:**David Johannes Stoker.

**Biographical Data:**He worked at the University of Port Elizabeth, South Africa. He published*A nonparametric analysis for a multiway classification with one element per cell*(1965),*A distribution-free analysis of variance technique for block designs*(1968) and*Multiple testing procedures for the k-sample runs test*(1976). We give the Summary of the 1976 paper: "In this paper simultaneous confidence intervals as well as multiple test procedures are derived for the number of runs in the k-sample runs problem. Some of these procedures depend on the upper alpha-point of the maximum of k equi-correlated unit normal random variables. Tables of critical values are constructed and presented. An application of these methods is illustrated by means of an example."

In this paper there is the following Acknowledgement: "Professors D J Stoker and N A S Crowther are thanked for some fruitful suggestions."

**Daniel Afedzi AKYEAMPONG (24.11.1938- 07.03.2014)**

**Country:**Ghana

**Year:**1966.

**Degree:**Ph.D.

**Thesis title:**Applications of higher symmetry groups to particle physics.

**University:**University of London (UK).

**Advisors:**Abdus Salam and Paul Matthews.

**Biographical Data:**Access his biography at THIS LINK.

**Badie Tawfik Mohamed HASSAN (b. 20.7.1941)**

**Country:**Egypt

**Year:**1967.

**Degree:**Ph.D.

**Thesis title:**The geometry of geodesics in Finsler geometry.

**University:**University of Southampton (UK).

**Advisor:**Frederick Brickell.

**Biographical Data:**He worked at Cairo University, Giza, Egypt. He has published around 12 papers, including*The cut locus of a Finsler manifold*(1973),*Connections associated with linear maps on the induced bundle of a Finsler space. I*(1979),*Hypersurfaces of a Minkowskian space*(1984), and*Gravitation and electromagnetism in Finsler-Lagrange spaces with (alpha, beta)-metrics*(2011).

At the General Assembly of the African Mathematical Union, which took place during the 4th Pan-African Congress of Mathematicians (Ifrane, Morocco, 18-24 September 1995), he was elected treasure of the African Mathematical Union.

**Abdel-Shafy Fahmy OBADA (b. 20.11.1942)**

**Country:**Egypt

**Year:**1967.

**Degree:**Ph.D.

**Thesis title:**Mathematical treatment of microscopic optics.

**University:**University of Manchester (UK).

**Advisor:**Robin K. Bullough.

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**Year:**1994.

**Degree:**D.Sc.

**University:**University of Manchester (UK).

**Biographical Data:**Access his biography at THIS LINK.

**Atu Mensa TAYLOR (d. 1977)**

**Country:**Ghana

**Year:**1967.

**Degree:**D.Phil.

**Thesis title:**Some Problems in Quantum Theory and its Classical Limit.

**University:**University of Oxford (UK).

**Advisor:**John Trevor Lewis.

**Biographical Data:**He lectured at Kwame Nkrumah University of Science and Technology, Kumasi, Ghana for about 30 years until his death in April 1977. He was elected a fellow of the Royal Astronomical Society in 1961, proposed by F K Allotey.

**Sunday Osarumwense IYAHEN (03.10.1937-28.01.2018)**

**Country:**Nigeria

**Year:**1967.

**Degree:**Ph.D.

**Thesis title:**On certain classes of linear topological spaces.

**University:**University of Keele (UK).

**Advisor:**Alexander Robertson.

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**Year:**1987.

**Degree:**D.Sc.

**University:**University of Keele (UK).

**Biographical Data:**Access his biography at THIS LINK.

**Paul Frank CHERENACK (d. 17.01.2002)**

**Country:**South Africa

**Year:**1968.

**Degree:**Ph.D.

**Thesis title:**Homotopy Groups of Algebraic Arcs Found by Smoothed Approximations.

**University:**University of Pennsylvania (USA).

**Advisor:**Andrew Hugh Wallace.

**Biographical Data:**He worked at Indiana University, Bloomington, Indiana, then at the University of Cape Town. He published around 40 papers including*Basic objects for an algebraic homotopy theory*(1972),*Some topological functors arising from algebraic geometry*(1977),*Conditions for cubic spline interpolation on triangular elements*(1984),*Convenient affine algebraic varieties*(1990),*The left exactness of the smooth left Puppe sequence*(1994),*Frölicher versus differential spaces: a prelude to cosmology*(2002), and*Boman's theorem: Strengthened and applied*(2005).

This last paper contains the following tribute: "Paul died after this paper was completed and before it was published. Paul is the primary author. A few brief words of tribute to Paul seems appropriate here. Paul Cherenack was a mathematician of international standing. Born and bred in Philadelphia, USA he attended the famous PENN (the University of Pennsylvania) where he obtained a broad and sound training in mathematics, studying for his Ph.D. in Algebraic Geometry with Andrew Wallace. After a year of research in Germany, where he met Marie-Anna, his wife to be, he came to Cape Town in 1974 to take a position at the University of Cape Town, liked what he saw, stayed and gave of his best to the University and to South Africa.

A true professional, Paul's encyclopaedic knowledge enabled him to teach in widely divergent areas. For years, accepting difficult assignments, he became a mainstay of the Department of Mathematics and Applied Mathematics. A steady stream of Masters and Doctoral students passed through his hands and he was always busy with new and creative work. He had an open door. Students and colleagues made use of it freely, receiving pertinent and friendly advice. Paul would go to special trouble with visiting scholars, taking them for walks and inviting them to his home. His Topologists' map of Cape Town, prepared for the Topology Conference of 1976, defined North as any direction perpendicular to the mountain contour in Rondebosch! A visitor to his home would find it filled with warm-hearted and endearingly eccentric people, scattered between the dogs, books and cats. However, when necessary, Paul could do the work of a builder and landscaper. In Tamboerskloof he laboured until he had changed the course of a mountain stream that threatened to undermine the foundations. A family man, Paul was proud of his attractive and intelligent daughters (Kuni and Genevieve) and he saw to it that they had the best he could provide. All in all, we have lost a good man and friend."

**John Henry SWART (11.02.1940-21.07.2012)**

**Country:**South Africa

**Year:**1969.

**Degree:**Ph.D.

**Thesis title:**The Theory and Application of Canonical Formalisms Associated with the Field Theory of Carathéodory for Multiple Integral Problems in the Calculus of Variations.

**University:**University of South Africa (Pretoria, South Africa).

**Advisor:**Hanno Rund.

**Biographical Data:**The following obituary was written by Kesh Govinder (University of KwaZulu-Natal): "John Henry Swart, Emeritus Professor and former Head of Mathematics, passed away at his Westville home on 21 July 2012. He is survived by his wife Henda (also an Emeritus Professor of Mathematics at the University of KwaZulu-Natal) and their children Christine, Sandra and Gustav. John Swart was born on 11 February 1940 in Kimberley. He grew up in Williston. His undergraduate studies and MSc were completed at Stellenbosch University. In 1969 he obtained his PhD under the supervision of Professor Hanno Rund (who was based at the University 0of South Africa at that time). John's lifelong and infectious enthusiasm for mathematics influenced the community in which he lived and worked for many decades.

His research concerned partial differential equations and biological mathematics. He was an active member of the South African Mathematical Society and served on its executive. He took an interest in local secondary schooling as well, delivering multiple talks at schools and meetings of mathematics teachers. John's association with the University of KwaZulu-Natal began when he was appointed as a lecturer at the former University of Durban-Westville in 1962. He took up a position at the former University of Natal (Durban) in 1965, where he served as Head of the Department of Mathematics and Applied Mathematics from 1980 to 1985. He served two further terms as Head of the School of Mathematical Sciences, from 1993 to 2000.

He gave very extensive service to the university through the Boards of Science and Engineering, as well as Senate, Council and countless university committees, culminating in a term as Pro-Vice Chancellor. He retired from the University of KwaZulu-Natal in 2005. John's vast experience, his forthright and articulate persona, and the breadth of his involvement in university affairs make him an unforgettable figure in the institution's history. As such he will be remembered fondly by colleagues young and old, and by generations of science and engineering students."

**Mohamed SOUISSI (21.02.1915-24.08.2007)**

**Country:**Tunisia

**Year:**1969.

**Degree:**Doctorat d'état.

**Thesis title:**La langue des mathématiques en arabe [Arabic mathematical language].

**University:**Université de la Sorbonne (Paris, France).

**Advisor:**Charles Pellat.

**Biographical Data:**His name is sometimes written as Muhammad Suwisi. He has published around 50 papers including*Un mathématicien tuniso-andalou : al-Qalacd+*(1972),*Le message scientifique d'al-B+rkn+ et sa portée actuelle dans les pays musulmans*(1973),*Impact de Khwârizmî sur l'école mathématique maghrébine et progrès réalisés par cette dernière*(1985), and*La méthode de double fausse position ou méthode des plateaux et son utilisation par les mathématiciens arabes*(1995).

**Benali BENZAGHOU**

**Country:**Algeria

**Year:**1969.

**Degree:**Doctorat d'état.

**Thesis title:**Algèbres de Hadamard [Hadamard algebras].

**University:**Université Paris 7 (France).

**Advisor:**Charles Pisot.

**Biographical Data:**He worked at the University of Sciences and Technology Houari Boumediene, Bab Ezzouar, Algeria, which was founded in 1974. He has published around 15 papers including*Sur l'algèbre des fractions rationnelles de Hadamard*(1968),*Suites d'unité algébriques satisfaisant à une relation de recurrence linéaire*(1971),*Propriétés algébriques de suites différentiellement finie*s (1992),*Nombres de Bell et somme de factorielles*(2004), and*Trace formula for Witt vector rings*(2017).

He served as rector of the university and wrote in 2016: "I am completing my mission as Rector of the University of Sciences and Technology Houari Boumediene. I had the privilege of opening it in 1974 and setting up its organization and teaching while its premises were being built (1974-1979). I had the privilege of leading it for fifteen years (2001-2015)."

**Albert OUEDRAOGO (b. 1935)**

**Country:**Burkina Faso

**Year:**1969.

**Degree:**Doctorat 3ème cycle.

**Thesis title:**Problème inverse de la diffusion et généralisation de l'équation de Marchenko [Inverse problem of diffusion and generalisation of Marchenko's equation].

**University:**Université Pierre et Marie Curie - Paris VI (France).

**Advisor:**Jean-Louis Destouches.

**Biographical Data:**He worked at the University of Ouedougou, Burkina Faso. He has published around 10 papers including*Contrôle ponctuel d'un système gouverné par une équation parabolique comportant des masses de Dirac*(1981),*Résolution d'un système gouverné par une équation parabolique fortement non linéaire*(1988),*Sur un problème de dynamique des populations*(2003), and*Sentinelles à deux temps et structure des pollutions non détectables par un ensemble de sentinelles*(2008).

He advised the Ph.D. student Oumar Traoré at the University of Ouedougou, Burkina Faso, who was awarded the degree in 2002 for the thesis*Controles de problemes de dynamique des populations*[Controls in Population Dynamics Problems].

In 2014 he published*Démocratie et cheffocratie ou la quête d'une gouvernance au Burkina Faso*[Democracy and Chiefocracy or the Quest for Governance in Burkina Faso]. He spoke about the work in the Institut Français de Bobo-Dioulasso on Tuesday 29 March 2016. The book highlights the behaviour of Burkinabe rulers vis-à-vis traditional chieftaincy. According to Ouédraogo, these holders of the real power of the regions are forgotten by the politicians and are suddenly solicited to calm the social climate when there a crisis. He argues in the book that the chieftaincy should be saved.

**Boniface Ihemotuonye EKE (06.06.1933-15.11.2015)**

**Country:**Nigeria

**Year:**1969.

**Degree:**Ph.D.

**Thesis title:**Structure of Inseparable Composites.

**University:**Iowa State University (USA).

**Advisor:**Bernard Vinograde.

**Biographical Data:**He was awarded a B.Sc. by Ohio State University, an M.Sc. by the University of Dayton and a Ph.D. by Iowa State University.

He worked at the Institute of Management and Technology, Enugu, Nigeria. Later he worked at Our Saviour Institute of Science, Agriculture and Technology, Enugu, Nigeria and, more recently as a lecturer in mathematics at Morgan State University, Baltimore, USA. He lived at 6011 Cedonia Avenue, Baltimore. He published over 15 papers including*Some remarks on modular field extensions with subbases*(1978),*Some special subfields and generating invariants of transcendental extensions*(1990),*Structure and morphisms of fuzzy algebraic extensions*(1995),*Fuzzy incidence functions*(2003),*A mathematical model for the control of the transmission of genetic diseases using pure fractions*(2008), and*Canonical extensions and direct sums of fuzzy partially ordered sets*(2013).

The Abstract of the 2013 paper reads: "Fuzzy relations are used to create partially ordered sets and lattices contained in this paper. Extensions of partially ordered sets and lattices are examined. The extensions studied include what are called canonical extensions and direct sums. Among the results is one showing that every cover function for a finitary distributive lattice is also a cover function for some nonfinitary distributive lattice. This result shows the necessity of the condition "finitary" that is used in an earlier result to prove the isomorphism of any two finitary distributive lattices which share a common cover function."

**Mohamed Elamin Ahmed EL-TOM (b. 02.10.1941)**

**Country:**Sudan

**Year:**1969.

**Degree:**D. Phil.

**Thesis title:**Numerical Approximation of Functions of One or More Variables.

**University:**Oxford University (UK).

**Advisor:**David Christopher Handscomb.

**Biographical Data:**He was awarded a B.Sc. with first class honours in Mathematics from the University of Leeds, England (1965); a Diploma in Advanced Mathematics from the University of Oxford, England (1966) after submitting a Dissertation and taking courses on Numerical Analysis, Functional Analysis, Group Theory, and Commutative Algebra; a D.Phil. from the University of Oxford, England (1969).

He was a Junior Scholar of the University of Khartoum (1962-65), a Senior Scholar of the University of Khartoum (1965-68) and a Research Fellow at the Center de Calcul, University of Louvain, Belgium (1968-69).

He worked at the University of Khartoum, the New University of Ulster, Coleraine, U.K., European Center for Nuclear Research, Geneva, Switzerland, the University of Khartoum, Qatar University, Sudan Centre for Educational Research, Khartoum, and the Garden City College for Science and Technology, Khartoum, Sudan.

He has published around 50 papers including*Convergence of best L-spline approximations*(1970),*On the approximate calculation of improper multiple integrals*(1973),*On best cubature formulas and spline interpolation*(1979),*On university mathematics curricula in North and North-East African counties*(1986),*The state and future of mathematics education and mathematical research in Africa*(1995),*Higher education in Sudan: Towards a New Vision for a New Era*(2006), and*A proposed research agenda in mathematics education in Africa*(2012).

He is a member/fellow of various organisations: Fellow of the Institute of Mathematics and its Applications, U.K. (1978-), a Fellow of the African Academy of Sciences, Kenya (1986-), a member of the International Centre for Theoretical Physics, Trieste, Italy (1984-89), a member of the Arab Thought Forum, Jordan (1985-), a member of the Mathematical Association of America, USA. (1992-), a member of the American Mathematical Society, USA (1995-) and a Fellow of Sudanese National Academy of Sciences (2007-).

He is married with three children.

**Mahdi ABDELJAOUAD (b. 1942)**

**Country:**Tunisia

**Year:**1970.

**Degree:**Ph.D.

**Thesis title:**On automorphisms and derivations of algebras [A propos des automorphismes et des derivations des algebras].

**University:**University of Washington (Seattle, USA).

**Advisor:**James Jans.

**Biographical Data:**He worked at the Université des Sciences, des Techniques et de Médecine de Tunis, Tunisia. For a time he was head of the Institut Supérieur de l'Education et de la Formation Continue of the Université de Tunis. After a couple of papers on automorphisms, he published a number of article on the history of mathematics including*Le manuscrit mathématique de Jerba: une pratique des symboles algébriques maghrébins en pleine maturité*(2002),*Proof in Arabian algebra*(2002),*The first Egyptian modern mathematics textbook*(20011) and*Émergence d'un savoir mathématique euro-islamique: L'Offrande du converti pour ranimer la flamme éteinte*(2016).

He was a co-advisor of Faïza Chellougui who was awarded a Ph.D. in 2004 for the thesis*L'utilisation des quantificateurs universel et existentiel en première année universitaire, entre l'explicite et l'implicite*[Using universal and existential quantifications in first year university, switching between explicit and implicit usages].

Mahdi Abdeljaouad's webpage gives the following information: "I am a retired Full Professor from the University of Tunis. My research and teaching interests include non commutative algebra, teaching mathematics at a distance, and mathematical education. I am particularly active in the history of Arabic mathematics and the history of mathematics teaching in Arabic/Islamic countries. I have published two critical editions of ancient Arabic mathematics manuscripts and several research papers on Arabic mathematics. I have edited four proceedings of*Colloques maghrebins sur l'histoire des mathématiques arabes*(1988-1994-2004-2010)."

**Georges Edward NJOCK (b. 07.11.1940)**

**Country:**Cameroon

**Year:**1970.

**Degree:**Ph.D.

**Thesis title:**Exploration de la notion geometrique d'aire des polygones par un groupe de transformations du plan euclidien [Exploration of the geometrical notion of the area of polygons by a group of transformation of the Euclidean plane].

**University:**Université Laval (Quebec, Canada).

**Advisor:**Fernand Lemay.

**Biographical Data:**He was born in Foulassi, Cameroon, the son of Simon Pierre Njock Bôt and Cecile Ngo Kingnjock. He received degrees from the University of Arizona (B.S. 1965, M.A. 1967) and the doctorate from Université Laval, Quebec, Canada in 1970. He was an Adjunct Professor at Laval (1968-1971) then an Adjunct Professor at the University of Yaoundé, Cameroon (1971-1976). He served as assistant secretary general of the Association African Universities, Accra, Ghana (1976-1977), then professor of mathematics at the University of Yaoundé I since 1977.

He married Barbara Jean Elliott on 19 March 1966; they have four children: Jean-Pierre, Cècile Minette, George Edward II, Michael Emmanuel.

He has written a number of papers including*Caractérisation catégorielle de limite directe*(1975),*On the properties of the endomorphisms of residually finite groups*(1999), and*Fuzzy ideals and weak ideals in BCK-algebras*(2001). He has published two books,*Théorie de Galois et Applications*(1999) and*Introduction à la Géométrie projective*(1999).

His hobbies are piano, walking, swimming, travel, choral music.

**Arsène RAMAMONJISOA**

**Country:**Madagascar

**Year:**1970.

**Degree:**Doctorat 3ème cycle.

**Thesis title:**Etudes sur l'analyse de variance multidimensionnelle: de la théorie aux applications.

**University:**Université Paul Sabatier (Toulouse, France).

**Jekeri OKEE (02.02.1934-03.08.2005)**

**Country:**Nigeria

**Year:**1970.

**Degree:**Ph.D.

**Thesis title:**Untersuchungen über den einstelligen intuitionistischen Pr.dikatenkalkül der ersten Stufe.

**University:**Humboldt-Universität (Berlin, Germany).

**Advisor:**Karl Schröter.

**Biographical Data:**He worked at Makerere University Kampala, Uganda. He has published papers including*On the independence of the fundamental operations of the algebra of species*(1973),*Completeness of the algebra of species*(1973),*A semantical proof of the undecidability of the monadic intuitionistic predicate calculus of the first order*(1975),*Completeness of the algebra of species*(1976), and*A species algebraic interpretation of the intuitionistic propositional calculus*(1976).

The Introduction to the second of these 1976 papers begins: "The topological and lattice-theoretical interpretations of the intuitionistic propositional calculus differ from the set algebraic interpretation of the classical two-valued propositional calculus in that, in the former cases, the intuitionistic propositional calculus is interpreted by means of classical theories which are definable in the second order classical predicate calculus, but, in the latter, the classical propositional calculus is interpreted by means of a classical theory which is definable in the monadic classical predicate calculus of the first order. The algebra of species is the intuitionistic analogy to the Boolean algebra of sets. The aim of this article is to give a species-algebraic interpretation of the intuitionistic propositional calculus analogous to the set-algebraic interpretation of the classical propositional calculus."

His last residence is given as San Jose, California, USA.

**Kenneth R. HUGHES**

**Country:**South Africa

**Year:**1970.

**Degree:**Ph.D.

**Thesis title:**Foundations of Homotopy Theory.

**University:**University of Cape Town (South Africa).

**Advisors:**Keith Hardie and David Epstein.

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**Year:**1975.

**Degree:**Ph.D.

**Thesis title:**Homotopy Theory of Sheaves and Cosheaves.

**University:**University of Warwick (UK.

**Advisors:**Keith Hardie and David Epstein.

**Biographical Data:**He worked at the University of Cape Town. Publications include*Deep topological invariants from the de Rham theory*(1974),*Challenges from the Past*(1977),*A grade-theoretic analogue of the Cousin complex*(1986),*Capitalism and Underdevelopment in South Africa*(1987),*Law, religion and bastardy: comparative and historical perspectives*(1991),*False antithesis? - The Debate about the Market and the State*(1993).

His interests are in Algebraic number theory, Commutative Algebra, History of Mathematics, History of Ideas generally, including the history of social thought and historiography, economic theory such as inflation and unemployment, South African economic history, such as the economics of racial discrimination, Liberal theories of justice and religion and Jurisprudence.

**Stanley Paul LIPSHITZ**

**Country:**South Africa

**Year:**1970.

**Degree:**Ph.D.

**Thesis title:**The Multiple-Integral problem of Lagrange in the Calculus of Variations.

**University:**University of the Witwatersrand (Johannesburg, South Africa).

**Advisor:**Hanno Rund.

**Biographical Data:**He worked at the University of Witwatersrand, Johannesburg, South Africa and at the University of Waterloo, Canada. He published*A canonical formalism for the non-parametric multiple-integral problem of Lagrange in the calculus of variations*(1970) acknowledging, "Research supported by the South African Council for Scientific and Industrial Research." He also published*Minimally audible noise shaping*(1991),*A theory of nonsubtractive dither*(2000), and*Random rounding in redundant representations*(2007).

Here is his own description of his research. (i) Research Topics: Audio and electro-acoustics; Digital signal processing for audio; Diffraction and radiation of sound by loudspeakers; Electro-acoustic measurement techniques, Dither in image processing. (ii) Present Research Activities: Both theoretical and experimental investigations are being made into the low-frequency radiation and diffraction of sound by loudspeakers. These are based on the use of the Helmholtz boundary integral formulation, and approximations thereto such as the Rubinowicz diffraction integral. It is hoped that this will lead to improved low-frequency measurement procedures in reverberant rooms.

**George Kinuthia Kiarie SAITOTI (03.08.1945-10.06.2012)**

**Country:**Kenya

**Year:**1971.

**Degree:**Ph.D.

**Thesis title:**Mod-2 K-Theory of the Second Iterated Loop Space on a Sphere.

**University:**University of Warwick (UK).

**Advisor:**Luke Hodgkin.

**Biographical Data:**Access his biography at THIS LINK.

**John Nguthu MUTIO**

**Country:**Kenya

**Year:**1971.

**Degree:**Ph.D.

**Thesis title:**Frobenius Groups.

**University:**Syracuse University (NY, USA).

**Advisor:**Larry C. Grove.

**Biographical Data:**He was born in the Kitui District, Kenya. He attended the Alliance High School, Kikuyu, Kenya (1954-57), Makerere University College, Kampala, Uganda (1958-59), Earlham College, Richmond, Indiana, U.S.A. (B.A. 1965), Indiana University, Bloomington, Indiana, U.S.A. (M.A. 1967), Syracuse University, Syracuse, New York, U.S.A. (Ph.D. 1971). He was appointed as a Lecturer at the University of Nairobi (1968-73), moving to became a Senior Lecturer, Kenyatta University College (1973-77), then an Associate Professor of Mathematics, Kenyatta University College (1977-80), and finally Professor of Mathematics at Kenyatta University (1980-).

He writes: "As Professor of Mathematics, I had the following duties: (a) Teaching of both undergraduate and postgraduate Students in the department; (b) Supervision of M.Sc. and Ph.D. students (10 M.Sc. and 2 Ph.D. students graduated); (c) Research and seminars in the department; and (d) Development and revision of mathematics syllabuses."

He was Dean of the Faculty of Science, Kenyatta University College (1979-86); Chairman, Department of Mathematics, Kenyatta University (1986-91); Deputy Vice-Chancellor (Academic) (1991-98); and Deputy Vice-Chancellor (Finance, Planning & Development) (1998-).

His publications include*The number of conjugacy classes in a metacyclic group*(1973),*Complete metacyclic groups*(1975),*Some generalized conjugacy classes of split metacyclic groups*(1976), and*Central automorphisms of a split metacyclic group*(1978).

**Aderemi Oluyomi KUKU (b. 20.03.1941)**

**Country:**Nigeria

**Year:**1971.

**Degree:**Ph.D.

**Thesis title:**On the Whitehead group of p-adic integral group-rings of finite p-groups.

**University:**University of Ibadan (Nigeria).

**Advisor:**Hyman Bass.

**Biographical Data:**Access his biography at THIS LINK.

**Olusola AKINYELE (b. 11.05.1944)**

**Country:**Nigeria

**Year:**1971.

**Degree:**Ph.D.

**Thesis title:**Studies in Abstract Harmonic Analysis on Semigroups.

**University:**University of Ibadan (Nigeria).

**Advisor:**Adegoke Olubummo.

**Biographical Data:**Olusola Akinyele obtained a B.S. degree in Mathematics on 24 June 1968, and a Ph.D. degree in Mathematics on 26 June 1971 both from the University of Ibadan, Ibadan, Nigeria. He is a chief representative of Nigeria's very strong school in ordinary differential equations. His recent interests are towards stability and boundedness of solutions to higher order equations. He was Professor in the Department of Mathematics, University of Ibadan, at Iowa State University, USA, and is now at HBCU (Historically Black Colleges and Universities) Bowie State College in Maryland, USA.

He has published around 50 papers including*A multiplier problem for a semigroup algebra of an ordered semigroup*(1975),*Vector Lyapunov functions and p th-order conditional stability and boundedness*(1979),*On partial boundedness of differential equations with time delay*(1981),*Oscillation theorems of n th-order functional-differential equations with forcing terms*(1985),*Cone-valued Lyapunov functions and stability of non-linear boundary value problems*(1997), and*An interval analytic method in constructive existence theorems for initial value problems*(2002).

**Hezekiah Oduoye ADEYEMI**

**Country:**Nigeria

**Year:**1971.

**Degree:**Ph.D.

**Thesis title:**Capacity Regions for Two-Way Channels.

**University:**University of California (Berkeley CA, USA).

**Advisor:**David Harold Blackwell.

**Biographical Data:**He worked at Obafemi Awolowo University, Ile-Ife, Nigeria and at Olabisi Onabanjo University, Ago-Iwoye, Nigeria. He has published statistics papers*Error bounds for the normal and the t-approximation to the generalized logistic distribution*(1987), and*On the convolution of random variables from the generalized logistic distribution*(1989). He then published on Artificial Intelligence, Human Factor Engineering, Ergonomics and Safety Engineering. Examples of his publications in this area are*Modeling manual material lifting risk evaluation: A fuzzy logic approach*(2013) and*Development of computer-aided management for grain storage in Nigeria*(2018).

**Lennox Samuel Onipede LIVERPOOL (b. 24.06.1946)**

**Country:**Sierra Leone

**Year:**1971.

**Degree:**Ph.D.

**Thesis title:**Analytic Functions and Iteration Theory.

**University:**Imperial College of Science and Technology.

**University:**University of London (UK).

**Advisor:**Irving Noel Baker.

**Biographical Data:**He was born in Freetown, Sierra Leone. He received a B.Sc. (Pure Science) from the University of Durham on 25 June 1969, an M.Sc. from the University of London in 1969, and a Ph.D. from the University of London in 1971. From 1971 to 1978, he was a Lecturer at Fourah Bay College, University of Sierra Leone. From 1978 to 1979 he was a Visiting Fulbright Fellow at the Massachusetts Institute of Technology, Boston, Massachusetts, USA, and a Visiting Associate Professor at Howard University, Washington, DC., USA. Returning to Sierra Leone, he was a lecturer at Fourah Bay College (1979-1980), then appointed as an Associate Professor at the University of Jos, Nigeria (1980-1987), being promoted to Professor of Mathematics at the University of Jos in 1987.

He has published around 12 papers including*Picard sets for entire functions*(1972),*On entire functions with infinite domains of normality*(1974),*The theorems of Schottky and Miranda - a novel approach*(1983), and*Iteration of complex functions - old and new problems*(1994).

He had two Ph.D. students who were awarded their doctorates from the University of Jos. Kenneth Barkari Yuguda was awarded the degree in 1998 for the thesis*Contrasts and Analogues in Iteration Theory and Dynamical Systems*and Musa Egahi in 2015 for the thesis*Complex Analysis and Iterates of Functions*.

His son, Tannie Liverpool, born 30 April 1971, is a mathematician with a Ph.D. from the University of Cambridge in 1995 for his thesis*A Stochastic Approach to Describing Geological Systems*.

**Dirk Jacobus VAN-SCHALKWYK**

**Country:**South Africa

**Year:**1971.

**Degree:**Ph.D.

**Thesis title:**On the Design of Mixture Experiments.

**University:**University of London (UK).

**Advisor:**David Roxbee Cox.

**Biographical Data:**He studied for his doctorate at Imperial College, University of London. He gives the following Acknowledgement in his thesis: "I am deeply grateful to Professor D R Cox for suggesting the topic and for his guidance and encouragement in the preparation of this thesis. I wish to thank Dr A M Herzberg for invaluable discussion and help. Thanks are also due to Miss P A Mills for typing the thesis.

I wish to thank the firm British Petroleum for granting me the scholarship which made this research possible and the South African Department of Agricultural Technical Services for granting me leave of absence."

The Abstract of the thesis is as follows: "A mixture experiment is one in which the level of each quantitative factor in a particular treatment is a proportion of the total treatment. Because of these properties the factor space is a regular simplex with one less dimension than the number of factors.

The variance function of the expected mean response is examined in the 3-component case and under linear, quadratic and cubic mixture models. A function, utilising the generalised variance of the D-optimum design, is given whereby upper and lower bounds can be calculated for the maximum possible variance of the expected mean response for any given design space, design and model.

D-optimum designs, that is, designs with minimum generalised variances, were generated for the same design spaces and mathematical models. A generalisation is given for designing D-optimum experiments for a simplex design space of more than three components under a linear model.

A method was devised for designing mixture experiments that are as near D-optimum as possible for a given experiment size, design space and model. The method was tested on the same design spaces and models.

This last method was extended to enable incomplete block mixture experiments to be designed such that the generalised variance of the estimable parameters is minimised while at the same time minimising the effect of blocking on these estimations. Incomplete block mixture designs were generated for a number of block sizes and numbers of blocks when the design space is the 3-component full simplex and the above three mathematical models are used."

He worked at the University of Pretoria.

**George Olatokunbo OKIKIOLU (b 18.7.1941)**

**Country:**Nigeria

**Year:**1971.

**Degree:**D.Sc.

**University:**University of London (UK).

**Biographical Data:**Access his biography at THIS LINK.

**Ethelbert Nwakuche CHUKWU (b. 22.11.1940)**

**Country:**Nigeria

**Year:**1972.

**Degree:**Ph.D.

**Thesis title:**Symmetries and Identification of Linear Control Systems.

**University:**Case Western Reserve University (Cleveland, Ohio, USA).

**Advisor:**Otomar Hájek.

**Biographical Data:**He studied at Harvard University (1963), Brown University (B.Sc. Applied Mathematics, 1965), University of Nigeria (M.Sc. Applied Mathematics, 1966-70), and Case Western Reserve University, Cleveland, Ohio (Ph.D. 1972). He worked at Cleveland State University, Ohio, the University of Jos, Nigeria, the University of Tennessee, Knoxville, USA, and North Carolina State University, Raleigh, USA.

He has published over 70 papers including*On the stability of a nonhomogeneous differential equation of the fourth order*(1972),*Finite time controllability of nonlinear control processes*(1975),*On the null-controllability of nonlinear delay systems with restrained controls*(1980),*Global null controllability of nonlinear delay equations with controls in a compact set*(1987),*Optimal control of the growth of income of nations*(1994),*On the controllability of nonlinear economic systems with delay: the Italian example*(1998), and*Goodness through optimal dynamics of the wealth of nations*(2003).

He has published the following books*Stability and time-optimal control of hereditary systems*(1992),*Differential models and neutral systems for controlling the wealth of nations*(2001),*Optimal control of the growth of wealth of nations*(2003),*The Omega Problem of all Members of the United Nations*(2010), and*Economic dynamics of all members of the United Nations*(2014).

**Christopher Olutunde IMORU**

**Country:**Nigeria

**Year:**1972.

**Degree:**Ph.D.

**Thesis title:**The Jensen-Steffensen Inequality.

**University:**Northwestern University (Evanton, Illinois, USA).

**Advisor:**Ralph P. Boas Jr.

**Biographical Data:**He attended the University of Nigeria, Nzukka, Nigeria, from 1963 to 1966. He attended Obafemi Awolowo University, Ile-Ife, Nigeria from 1963 to 1966 (B.Sc. 1966). From 1968 to 1972 he attended Northwestern University in Evanton, Illinois, U.S.A. (Ph.D. 1972). Since 1974 he has been in the mathematics department of Obafemi Awolowo University, Ile-Ife, Nigeria.

He has published around 50 papers including*Series inequalities involving convex functions*(1974),*Variations of integral means and Hardy-Littlewood maximal functions*(1982),*Generalizations of Hardy's integral inequality*(1987),*On a general Ishikawa fixed point iteration process for continuous hemicontractive maps in Hilbert spaces*(2001),*New iteration methods for pseudocontractive and accretive operators in arbitrary Banach spaces*(2003), and*Some convergence results for the Jungck-Mann and the Jungck-Ishikawa iteration processes in the class of generalized Zamfirescu operators*(2008).

**Samuel Akindiji ILORI (b. 11.01.1945)**

**Country:**Nigeria

**Year:**1972.

**Degree:**Ph.D.

**Thesis title:**Some problems in the theory of flag manifolds and flag bundles.

**University:**University of Oxford (UK).

**Advisor:**Aubrey William Ingleton.

**Biographical Data:**He studied at St Andrew's Demonstration School, Oyo (1950-56), Ogbomoso Grammar School (1959-62), and Christ's School, Ado-Ekiti (1963-64). He graduated with First Class Honours degree in Mathematics in 1968 from the University of Ibadan. He obtained the Diploma in Advanced Mathematics in 1969 from the University of Oxford, U.K. and a D.Phil. degree in Mathematics from the same University in 1972. He was a recipient of various awards and scholarships during his academic career.

He became a Professor of Mathematics at the University of Ibadan in 1982 and was elected a Fellow of the Nigerian Academy of Science in 2006. He served the University of Ibadan in various capacities as Head, Department of Mathematics (2003-2006), Provost, College of Science and Technology (1990-1994), Dean, Faculty of Science (May 1990-November), Sub-Dean, Physical and Mathematics (1977-1979). He was also the Chairman of Council of St Andrew's College. He has over 20 academic awards and distinctions to his credit. He is also a member of numerous academic and professional bodies. He married Victoria Iyabode Ajani in 1975; they have three sons and one daughter.

He has around 30 publications including*On the generalised Todd genus of flag bundles*(1974),*Subvarieties of flag bundles*(1982),*Non-immersions and non-embeddings of some flag manifolds*(1999), and*Projective resolutions and the homology of an induced group*(2013).

**Pascal Kampotu MUBENGA**

**Country:**Zaire

**Year:**1972.

**Degree:**Ph.D.

**Thesis title:**Convergence of Bounds in Optimization.

**University:**Western Michigan University (Kalamazoo, USA).

**Advisor:**Arthur William John Stoddart.

**Biographical Data:**His thesis, under the name Pascal D Mubenga, has the following Acknowledgement: "During the preparation of this thesis, Dr A W J Stoddart spent with me many hours of patient and inspiring discussions. My sincere gratitude goes to him. I am also indebted to Dr R Blefko for his careful reading of the manuscript. The financial support from Western Michigan University was helpful, and I thank the members of the Mathematics Department who made it possible."

He is Professor at University of Kinshasa, DR Congo. where he has taught Operations Research, General topology, and Functional analysis for forty years. His works are essentially related to General Topology, Functional Analysis, optimization, Mathematical programming, and Graph Theory. He published papers such as*On a generalized problem of linear programming*(1976),*Simulated Annealing vs Genetic Algorithm to Portfolio Selection*(2015) and*An Aggregation Function Based on Pairwise Comparisons*(2017).

**Johan SWART**

**Country:**South Africa

**Year:**1973.

**Degree:**Dr.phil.

**Thesis title:**Zur Theorie der Schwartz-Raume [On the theory of Schwartz spaces].

**University:**Universität Zürich [Switzerland].

**Advisor:**Hans Jarchow.

**Biographical Data:**He was awarded a B.Sc. (Hons), an M.Sc. (Potchefstroom University for Christian Higher Education), and a Dr.Phil. (Zürich). He worked at the Council for Scientific and Industrial Research, Pretoria, Potchefstroom University for Christian Higher Education, and the University of Pretoria. He gives the following fields of interest: Applications of mathematics to finance and to physics, history and philosophy of mathematics and science in general. His research interests are listed as follows: Operator algebras, geometry of Banach spaces, and measure theory.

He has published around 30 papers including*On Mackey convergence in locally convex spaces*(1973),*Schwartz topologies on sequence spaces*(1977),*A characterisation of semi-Fredholm operators defined on almost reflexive Banach spaces*(1986),*An elementary proof of a classical semi-Fredholm perturbation theorem*(1996),*Equimeasurability, nuclearity and representability*(2003), and*The metric theory of tensor products. Grothendieck's résumé revisited*(2008).

**Stephen Ronald SCHACH (b. 03.12.1947)**

**Country:**South Africa

**Year:**1973.

**Degree:**Ph.D.

**Thesis title:**New Identities for Legendre Associated Functions of Integral Order and Degree.

**University:**University of South Africa (Pretoria, South Africa).

**Advisor:**Geoffrey Brundrit.

**Biographical Data:**He was born on 3 December 1947 in Cape Town, Cape Province, South Africa, the son of Sydney Lazar Schach and Florette Rose Arens. He studied at the University of Cape Town (B.Sc. 1966, Ph.D. 1973). He worked at the University of Cape Town from 1972 to 1983.

He married Sharon Malkah Stein on 16 December 1974; they had two children David Martin and Lauren Susan. He went to the United States in 1983 when appointed associate professor computer science at Vanderbilt University, Nashville.

His publications include*New identities for Legendre associated functions of integral order and degree*(1976),*Max-min tree partitioning*(1981),*A bottom-up algorithm for weight- and height-bounded minimal partition of trees*(1984),*Software Engineering with Java*(1996),*Classical and Object-Oriented Software Engineering W/ Uml and C++*(1998),*Object-Oriented Software Engineering*(2008), and*Development/Maintenance/Reuse: Software evolution*(2012).

**Seyoum GETU**

**Country:**Ethiopia

**Year:**1973.

**Degree:**Ph.D.

**Thesis title:**Generalizing Alternative Rings.

**University:**University of Missouri (Columbia, USA).

**Advisor:**David Joseph Rodabaugh.

**Biographical Data:**He worked at Haile Sellassie I University, Addis Ababa, Ethiopia, then at Howard University, Washington DC, USA. He joined the American Mathematical Society in 1974.

He has published about twelve papers including*Combinatorial view of the composition of functions*(1980),*Product-weighted lead codes revisited*(1982),*Lattice paths and Bessel functions*(1995), and*A "dot'' product, lattice paths and determinant of Hankel matrices*(2001).

**Kevin Ejere OSONDU**

**Country:**Nigeria

**Year:**1974.

**Degree:**Ph.D.

**Thesis title:**A Unified Theory of Extension of Bins to Semigroups and of Semigroups to Groups.

**University:**State University of New York (Buffalo NY, USA).

**Advisor:**Dov Tamari.

**Biographical Data:**He was the first black student to earn a Ph.D. from the State University of New York. He worked at the University of Lagos, Nigeria, and at the College of Technology, Owerri, Nigeria. He has been a member of the Council of the Nigerian Mathematical Society between 1984 and 1995, first as Assistant Secretary and later as Vice-President. He has also been an Associate Editor of the Journal of the Nigerian Mathematical Society since 1992.

He has published around twelve papers on semigroups, including*Extensions of homomorphisms of a subsemigroup of a group*(1977),*Homomorphisms of semilattices of semigroups*(1980),*Malcev sequences and associative symmetrisations*(1984), and*Universal groups on semilattices of reversible cancellative semigroups*(1991).

**Abimbola Sylvester YOUNG (b. 22.08.1947)**

**Country:**Sierra Leone

**Year:**1974.

**Degree:**Ph.D.

**Thesis title:**Prediction analysis with some types of regression functions.

**University:**University of London (UK).

**Advisor:**Dennis Victor Lindley.

**Biographical Data:**The name 'Sylvester' was given to him when he was a student in England by people who found 'Abimbola' difficult to pronounce. He was a pupil at the Prince of Wales School in Freetown, Sierra Leone. He then went to England and was awarded a First Class honours degree in mathematics by the University of Durham. He worked at the Department of Mathematics, University of Sierra Leone, Freetown, then at the Department of Mathematics, University of Benin, Benin City, Nigeria. He became Director of the Bureau of Statistics of the International Labour Office in 2001. On 15 May 2009 he was Appointed as Senior Statistical Adviser in the Department of Policy Integration of the International Labour Office.

He has published papers such as*A Bayesian approach to prediction using polynomials*(1977),*On the information criterion for selecting regressors*(1987) and*On a Bayesian criterion for choosing predictive submodels in linear regression*(1987).

**Saliou TOURE (b. 04.06.1937)**

**Country:**Côte d'Ivoire

**Year:**1974.

**Degree:**Doctorat d'état.

**Thesis title:**Sur les espaces homogènes moyennables.

**University:**Université de Cocody (Abidjan, Côte d'Ivoire).

**Advisor:**Pierre Eymard.

**Biographical Data:**He was born on in Kolia, a town in the north of the Côte d'Ivoire he obtained his first degree in Paris in 1962. He worked as an assistant at the University of Besançon (1963-66), then became an assistant professor at the Faculty of Science and Technology of the University of Abidjan. He became President of the Mathematical Society of Ivory Coast in 1977. He was elected President of the African Mathematical Union from August 2009 to July 2013.

He has published around 20 papers including*Sur la résolution de l'équation intégrale d'Ambarzumian*(1965),*Une condition necessaire pour qu'une fonction soit caractéristique*(1966),*Sur quelques propriétés des espaces homogènes moyennables*(1971),*Quelques applications associées à l'application de Reiter*(1981),*Sur la cohomologie des algèbres de Malπcev. II*(1992),*Sur la grassmannienne sphérique: applications aux groupes de Lie réductifs*(2017).

**Lévry Bogard DALAUD**

**Country:**Côte d'Ivoire

**Year:**1974.

**Degree:**Doctorat 3ème cycle.

**Thesis title:**Analyse des séries stationnaires à temps discret; Application au cas d'un modèle statistique du mouvement du pôle.

**University:**Université Pierre-et-Marie-Curie Paris VI (France).

**Advisor:**Fernand Nahon.

**Biographical Data:**He attended the International Congress of Mathematicians in Helsinki in August 1978. He wrote*Études des Liens Entre les Equations Différentielles Stochastiques Retrogrades et les Equations aux Dérivées Partielles*(2003).

**Wandera OGANA (b. 05.1946)**

**Country:**Kenya

**Year:**1975.

**Degree:**Ph.D.

**Thesis title:**Computation of steady two-dimensional transonic flows by an integral equation method.

**University:**Stanford University (CA, USA).

**Advisor:**John R. Spreiter.

**Biographical Data:**He was born in Mukhobola, Busia, Kenya. He attended Miwani Primary School (1952-56), Awasi Intermediate School (1957-60), Nyang'ori Secondary School (1960-64) and Kakamega High School (1965-66). He entered the University of East Africa, University College of Nairobi in April 1967 to study Surveying and Photogrammetry in the Faculty of Engineering. After one term he transferred to the Faculty of Science and graduated with a B.Sc. (Honours) in mathematics in 1970, specialising in Applied Mathematics.

After teaching mathematics for one year at Maseno Secondary School, he went to Stanford University, California, USA, and was awarded an M.S. (1973) and a Ph.D. (1975) in Applied Mechanics. In January 1976, he joined NASA Ames Research Center, Moffett Field, California, as a Postdoctoral Research Associate, and undertook research there till July 1977. He returned to Kenya and was employed as a Lecturer in the Department of Mathematics at the University of Nairobi. He was promoted to Senior Lecturer (1980), Associate Professor (1987) and Professor (1991), in the same department. He served as Chairman of the Department of Mathematics (1983-92) and as Dean of the Faculty of Science (1995-2000).

He has published around 40 papers including*An alternative approach to the transonic flow problem*(1985),*Boundary element methods in three-dimensional transonic flows*(1989),*Modelling the vertical distribution of insects*(1996),*Modelling the vertical distribution of tsetse flies*(1998) and*Model Evaluation. Climate Change 2001: The Scientific Basis Contribution of Working Group I to the Third Assessment Report of the Intergovernmental Panel on Climate Change*(2001).

**Issoufou A. KOUADA**

**Country:**Niger

**Year:**1975.

**Degree:**Ph.D.

**Thesis title:**Linear Vector Maximization.

**University:**Rensselaer Polytechnic Institute.

**Advisor:**Joseph G. Ecker.

**Biographical Data:**He worked at the Université de Niamey, Niger. He became the 1st Vice-president and Secretary-general of the Ministry for Higher Education.

He has published around 10 papers including*Finding efficient points for linear multiple objective programs*(1975),*Generating all maximal efficient faces for multiple objective linear programs*(1980),*Fritz John's type conditions and associated duality forms in convex nondifferentiable vector-optimization*(1994), and*Upper-semi-continuity and cone-concavity of multi-valued vector functions in a duality theory for vector optimization*(1997).

**Bola Olujide BALOGUN (b. 03.07.1943)**

**Country:**Nigeria

**Year:**1975.

**Degree:**Ph.D.

**Thesis title:**On some topics in Group Theory.

**University:**University of California (Los Angeles CA, USA).

**Advisor:**Ernst Gabor Straus.

**Biographical Data:**He was born at Ijebu-Igbo, Nigeria. He studied at University College, Ibadan, Nigeria (1960-63) (B.Sc. Hons. Mathematics, 1963). He was employed as a Teaching Assistant in the University of Ibadan (1962-63); a Mathematics Tutor, Mayflower Grammar School, Ikene, Ogun State, Nigeria (1963-66); an Assistant Lecturer in Mathematics, University of Ife, lbadan (1966-69); a Lecturer Grade II in Mathematics, University of Ife (1969-76); a Lecturer Grade I in Mathematics, Obafemi Awolowo University, Ile-Ife, (same University-new name) Nigeria (1976-79); a Senior Lecturer in Mathematics, Obafemi Awolowo University (1979-89); an Associate Professor of Mathematics, Obafemi Awolowo University (1989-97); and a Professor of Mathematics, Department of Mathematics, Obafemi Awolowo University (1997-).

He has published around 10 papers including*Conjugately pure subgroup problem*s (1974),*Groups with large conjugacy classes*(1977),*Abelian sheaves over topological spaces*(1980), and*Idempotents in the C*-algebras of free products of groups with amalgamation*(1998).

**Sarel VENTER**

**Country:**South Africa

**Year:**1975.

**Degree:**Ph.D.

**Thesis title:**The Null-Set of the Euler-Lagrange Operator for Second Order Multiple Integral Variational Problems.

**University:**University of South Africa (Pretoria, South Africa).

**Advisors:**Hanno Rund and Horst-Sigfried Paul Grässer.

**Biographical Data:**Sarel Venter died on 2 July 1974. The paper*Integral formulae associated with non-parameter-invariant multiple integral problems o| arbitrary order in the calculus of variations*was published in 1980 with co-authors Thomas G Berry and Sarel Venter. The following note appears in the paper" "The results reported here were discovered independently by the two authors, who, before the untimely death of the second, had collaborated on related problems. A major portion of this paper is contained in the (unpublished) Ph.D. thesis submitted posthumously by the late Sarel Venter's thesis supervisors, Professors H S P Grässer and H Rund, to the University of South Africa, which awarded the degree in May 1975. Thanks are due to the late Dr Venter's supervisors for providing the first-named author with a copy of Dr Venter's thesis, for permission to prepare this joint manuscript, and also for assistance during its preparation."

**Jamshid MOORI (b. 21.03.1945)**

**Country:**South Africa

**Year:**1975.

**Degree:**Ph.D.

**Thesis title:**On the Groups 210:M_22 and 210:M_22:2.

**University:**University of Birmingham (UK).

**Advisor:**Donald Livingstone.

**Biographical Data:**He was awarded a Diploma in Mathematics after attending the Nowrooz High School, Masjed Soleiman, Iran 1961-1964; a B.Sc. in Mathematics after attending the University of Meshed, Iran 1967-1971; an M.Sc. in Mathematics after attending the University of Birmingham, England 1972-1973; and a Ph.D. in Mathematics after studying at the University of Birmingham 1973-1975.

He has held the following positions: 1970-1971, Mathematics Tutor, Student Assistant, Pre-University College, University of Meshed, Iran; 1975-1979, Assistant Professor in Mathematics, University of Jundi-Shahpur, Ahwaz, Iran; 1977-1979, Head of Department of Mathematics, University of Jundi-Shahpur; 1983-June 1985, Senior Lecturer in Mathematics, University of Bophuthatswana, South Africa; 1985-June 1989, Professor and Head, Department of Mathematics, University of Bophuthatswana; 1986-1987, Deputy Dean of Science, University of Bophuthatswana; 1989-1996, Professor of Mathematics, University of Natal, Pietermaritzburg, South Africa; 1993-1994, Acting Head, Department of Mathematics and Applied Mathematics, University of Natal; 1994-1999, Head, Department of Mathematics and Applied Mathematics, University of Natal; 1999-2009 Director of Mathematics Programme, School of Mathematics, Statistics and Information Technology; 2001, Deputy Head of School, School of Mathematics, Statistics and Information Technology; 2006-present, Honorary Senior Research Fellow, School of Mathematics, University of Birmingham, England; 2011-present, Research Professor, School of Mathematical and Physical Sciences, North-West University, Maﬁkeng.

He has published over 150 papers on Finite Groups, Simple Groups and Sporadic Simple Groups, Representation Theory of Finite Groups, Character Tables of Extension Groups, Clifford-Fischer Matrices, Presentations of Group Extensions, Application of Finite Groups to Combinatorial Designs and Finite Geometries.

Here are a few examples of Moori's papers:*On certain groups associated with the smallest Fischer group*(1981);*Subgroups of 3-transposition groups generated by four 3-transpositions*(1994);*(p, q, r)-Generations of the Smallest Conway Group Co_3*(1997);*Codes, Designs and Graphs from the Janko Groups J_1 and J_2*(2002);*Permutation decoding for the binary codes from triangular graphs*(2004);*Some designs and codes invariant under the simple group Co_2*(2007);*Codes associated with triangular graphs and permutation decoding*(2010); and*A survey on Clifford-Fischer Theory*(2015).

This last mentioned paper appears in the*Proceedings of Groups St Andrews 2013*of which I [EFR] was an editor. Here is the Abstract: "Bernt Fischer presented a powerful and interesting technique, known as Clifford-Fischer Theory, for calculating the character tables of group extensions. This technique derives its fundamentals from the Clifford theory. The present article surveys the developments of Clifford-Fischer Theory applied to group extensions (split and non-split) and in particular we focus on the contributions of the second author (Jamshid Moori) and his research groups of students."

**Godwin Osakpemwoya Samuel EKHAGUERE (23.05.1947)**

**Country:**Nigeria

**Year:**1976.

**Degree:**Ph.D.

**Thesis title:**A Markov Property for Multicomponent Euclidean Covariant Gaussian Generalized Stochastic Fields.

**University:**University of London (UK).

**Advisor:**Raymond Frederick Streater.

**Biographical Data:**He was born in Benin City, Edo State, Nigeria. His academic ability was evident at an early age, when he won the competitive five-year scholarship of the Western Region of Nigeria tenable in the prestigious Immaculate Conception College (ICC), Benin City in 1961. He completed his secondary school education with a First Division Certificate in 1965. He was awarded a scholarship in 1966 by the ICC for his Higher School Certificate (HSC) education (1966-67). Best known among his friends and colleagues simply as Gos, he gained admission into the University of Ibadan, Nigeria (West Africa) for his undergraduate studies in 1968. In 1971, he earned a Bachelor of Science degree with Honors in Physics. He then proceeded to the Imperial College of Science & Technology, London, where he earned the Diploma of Imperial College in Mathematical Physics in 1974. In 1976, he earned a Ph.D. in Mathematical Physics from the University of London (Bedford College).

He served as a Subdean, Faculty of Science, University of Ibadan (1981-82); Head, Department of Mathematics, University of Ibadan (1993-96), and a Member of the University of Ibadan Governing Council (1995-97). In 1995, he was elected Vice-President of the Nigerian Mathematical Society. He is a Full Professor of Mathematics (since 1988) on the faculty of the University of Ibadan.

He has published around 30 papers including*On notions of Markov property*(1977),*A characterization of Markovian homogeneous multicomponent Gaussian fields*(1980),*Quantum stochastic integration in certain partial *-algebras*(1986),*The functional Ito formula in quantum stochastic calculus*(1990),*Algebraic representation theory of partial algebras*(2001), and*Topological solutions of noncommutative stochastic differential equations*(2007).

**Augustin BANYAGA (b. 31.03.1947)**

**Country:**Rwanda

**Year:**1976.

**Degree:**Docteur es Sciences Mathématiques.

**Thesis title:**Sur la structure des groupes de diffeomorphismes qui preservent une forme symplectique ou une forme de contact regulière [On the structure of the groups of diffeomorphisms preserving a symplectic form or a regular contact form].

**University:**Université de Génève (Geneva, Switzerland).

**Advisor:**André Haefliger.

**Biographical Data:**He was born in Kigali, Rwanda. After the award of his doctorate, he was a member of the Institute for Advanced Study in Princeton, New Jersey (1977–1978), Benjamin Peirce Assistant Professor at Harvard University (1978–1982), and assistant professor at Boston University (1982–1984). He was appointed associate professor at Pennsylvania State University in 1984 and promoted to full professor in 1992. He is an editor of*Afrika Matematica*, the journal of the African Mathematical Union, and an editor of the*African Journal of Mathematics*.

He has made significant contributions in symplectic topology publishing around 80 papers including*Sur le groupe des difféomorphismes symplectique*s (1974),*On the cohomology of the diffeomorphisms group*(1983),*A characterization of some coadjoint orbits of diffeomorphism subgroups*(1993),*A geometric integration of the extended Lee homomorphism*(2001),*A Hofer-like metric on the group of symplectic diffeomorphisms*(2010), and*Snapshots of mathematics in Sub-Saharan Africa*(2018).

He has written the books*The structure of classical diffeomorphism groups*(1997),*Lectures on Morse homology*(2004) and*A brief introduction to symplectic and contact manifolds*(2017).

**Salah-Eldin A. MOHAMMED (b. 20.05.1946)**

**Country:**Sudan

**Year:**1976.

**Degree:**Ph.D.

**Thesis title:**Retarded Functional Differential Equations (A Global Point of View).

**University:**University of Warwick (UK).

**Advisor:**James Eells.

**Biographical Data:**Before studying for his doctorate he was awarded a B.Sc. from the University of Khartoum, Sudan in l970 and an M.Sc. from the University of Dundee, Dundee, Scotland, in 1972. His thesis was published as a 147-page book in 1978. A boyhood in an impoverished, obscure village in the Sudan hasn't stopped Salah Mohammed from winning recognition as one of America's leading mathematicians, now as Professor of Mathematics at Southern Illinois University. Before that he worked at the University of Khartoum, Sudan.

He has published the book*Stochastic functional differential equations*(1984) and around 50 papers including*Separation of variables (an abstract approach)*(1974),*The infinitesimal generator of a stochastic functional-differential equation*(1982),*An extension of Hörmander's theorem for infinitely degenerate second-order operators*(1995),*Discrete-time approximations of stochastic delay equations: the Milstein scheme*(2004),*Sobolev differentiable stochastic flows for SDEs with singular coefficients: applications to the transport equation*(2015), and*An option pricing model with memory*(2017).

**Mohamed Assad Mohamed HASSAN (b. 23.05.1945)**

**Country:**Egypt

**Year:**1976.

**Degree:**Ph.D.

**Thesis title:**The theory of final groups.

**University:**Eotvos Lorand University (Budapest, Hungary).

**Advisor:**Corrádi Keresztély.

+

**Year:**1996.

**Degree:**D.Sc.

**University:**Hungarian Academy of Sciences (Budapest, Hungary).

**Biographical Data:**He has a doctoral dissertation 'Investigations on the Theory of Finite Groups' (1972). The University of Cairo has a "Mohamed Assad Mohamed Hassan Award" for mathematics.

**Shoukry Sayyed HASSAN (b. 16.12.1945)**

**Country:**Egypt

**Year:**1976.

**Degree:**Ph.D.

**Thesis title:**Mathematical treatment of quantum optics.

**University:**University of Manchester (UK).

**Advisor:**Robin K. Bullough.

+

**Year:**1993.

**Degree:**D.Sc.

**University:**University of Manchester (UK).

**Biographical Data:**He worked at Ain Shams University, Cairo, at Kuwait University, and at the University of Bahrain. His papers include*Propagational effects in an ab initio theory of super-radiance from extended systems*(1976),*Intensity fluctuations in a driven Dicke model*(1980),*Atoms in Fock state fields. I*(1990), and*Long-lived entanglement with pulsed-driven initially entangled qubit pair*(2014).

**Demissu GEMEDA (03.12.1946-00.05.2008)**

**Country:**Ethiopia

**Year:**1976.

**Degree:**Ph.D.

**Thesis title:**Multiplicative Structure of Finite Free Resolutions of Ideal Generated by Monomials in an R-Sequence.

**University:**Brandeis University (MA, USA).

**Advisor:**David A. Buchsbaum.

**Biographical Data:**He worked at Addis Ababa University. He has written textbooks*An Introduction to Linear Algebra*(2000),*Topics in linear Algebra*(2005) and*Fundamental Concepts of Algebra*(2008).

A Conference in Memory of Dr Demissu Gemeda was held on 4 July 2009 at Addis Ababa University. An International Conference on Mathematical Research and Education in memory of Dr Demissu Gemeda was held 7-8 October 2010.

He has published papers including*Research in the basic sciences from a developing country perspective*(1998) and*The Case of Addis Ababa University*(2008).

**Daouda SANGARE (b. 13.07.1943)**

**Country:**Mali

**Year:**1977.

**Degree:**Doctorat d'état.

**Thesis title:**Sur la composition et l'extension des filtrations et pseudo-valuations [On the composition and extension of filtrations and pseudo-valuations].

**University:**Université de Caen (France).

**Advisor:**Marc Krasner.

**Biographical Data:**He was born at Bougouni, Mali. His university education was at the University of Caen, France, Bachelor degree in Mathematics (1967), a Master's degree in Mathematics (Number Theory) (1968), a Doctorat de 3ème cycle in Pure Mathematics (1973), and the Doctorat d'état (1977). His supervisors were Roger Apéry, University of Caen and Mark Krasner, University of Paris VI. He worked as an Associate Assistant at the University of Caen (1972-1977), as Professor at the Ecole Normale Supérieure at Bamako, Mali in 1978, and Professor at the University of Cocody, Abidjan (1978-1994), as an Associate Professor at the University Institute for Teachers Training, Lyon, France (1994-1999), and as Professor at Nangui Abrogoua University of Abidjan, Côte d'Ivoire (2000-2016).

He was Editor-in-Chief of 'Afrika Matematika' the journal of the African Mathematical Union from 1992 to 2009, editing 19 volumes of that journal. He has also founded and led since 2010, the journal 'Africa Mathematics Annals'. He was Secretary General of African Mathematical Union (1991-2000) and Mediator of the Pan African Mathematics Olympiads (1993-2009). He received an award from the African Mathematical Union for his outstanding contribution to the Union and the development of African Mathematical Sciences across the African continent.

He has published over 20 papers including*Anneaux pseudo-valués de "pas'' fini*(1973),*Generalized Samuel numbers and A.P filtrations*(1990),*Some aspects of the asymptotic theory of ideals*(1994),*On the asymptotic nature of the analytic spread of I-good and strongly Noetherian filtrations*(2001),*Transcendence degree of Rees rings of Noetherian filtrations and their quotients*(2010), and*Hilbert-Samuel functions of well bifiltered modules*(2016).

**Galaye DIA**

**Country:**Senegal

**Year:**1977.

**Degree:**Doctorat 3ème cycle.

**Thesis title:**Closed convex bounded valued integrals.

**University:**Université de Dakar (Senegal).

**Advisor:**Doudou Sakhir Thiam.

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**Year:**1986.

**Degree:**Doctorat d'état.

**Thesis title:**Order statistics on the point process. Estimation of the regression.

**University:**Université Pierre et Marie Curie (Paris, France).

**Advisor:**Jean Geffroy.

**Biographical Data:**He was awarded the following qualifications: Maitrise of Applied Mathematics at the Faculty of Sciences of the Grenoble University, France (1971); DEA of Numerical Analysis at the Faculty of Sciences of the Grenoble University (1972); Doctorate of 3ème cycle from the Faculty of Sciences and Techniques of the Dakar University, Senegal (1977); Doctorat d'état from the Pierre and Marie Curie University of Paris.

He was employed as an Assistant Lecturer at the Faculty of Sciences and Techniques of the Dakar University (1972-1977); Lecturer at Dakar University (1977-1983); Lecturer at the Institut of Statistic of the Paris University (1983-1986); Lecturer at the University Pierre Mendes, Paris (1983-1986); Lecturer at the Institut d'Informatique, Conservatoire National des Arts et Métiers Paris (1983-1986); Senior Lecturer at the Faculty of Sciences and Techniques of Dakar University (1986-1990); Senior Lecturer at the Unités de Formation et de Recherche of Mathematics and Computer Science at The Gaston Berger University of Saint-Louis, Sénégal (1990-1992); Professor at the Unités de Formation et de Recherche of Mathematics and Computer Science at the Gaston Berger University of Saint-Louis, Sénégal.

Has published papers including*Blocs équilibrés d'une suite aléatoire de variables statistiques*(1987),*Nonparametric estimation of the density of a point process*(1990),*Répartition ponctuelle aléatoire des revenus et estimation de l'indice de pauvreté*(2005),*Estimation of a regression function on a point process and its application to financial ruin risk forecast*(2010), and*Bidimensional non-parametric estimation of well-being distribution and poverty index*(2014).

**Batmanathan Dayanand REDDY (b. 10.03.1953)**

**Country:**South Africa

**Year:**1977.

**Degree:**Ph.D.

**Thesis title:**The Elastic and Plastic Buckling of Circular Cylinders in Bending.

**University:**Cambridge University (UK).

**Advisor:**Christopher Reuben Calladine, FRS.

**Biographical Data:**He was born in South End, Port Elizabeth where he spent his childhood and early teenage years. He attended primary schools in Schauderville and South End, and the South End High School. When South End was declared a white area in terms of the Group Areas Act in 1965, his family, together with thousands of residents of this diverse and vibrant community, were uprooted and forcibly removed to racially designated group areas. With the extended-family general dealer business, established by his grandfather over thirty years before, now in ruins, Reddy's parents settled in Cape Town in 1968 after an aborted decision to immigrate to the United Kingdom. Daya, as he is popularly called, and his younger brother were sent to live with family members in Vrededorp, an area that was ironically to suffer the same fate as South End soon after.

After he matriculated from Lenasia Indian High School at the end of 1969, he enrolled for a degree in civil engineering at the University of Cape Town for which he had to obtain special ministerial permission. After he was awarded his degree in 1973 (with first-class honours), he took up a scholarship to Cambridge University where he graduated with a Ph.D. in 1977. After a year spent doing research at the University College, London, he returned to Cape Town to take up a joint lectureship in the Departments of Applied Mathematics and Civil Engineering at the University of Cape Town, a reflection of his established multi-disciplinary interests and work. He was appointed senior lecturer in 1982 and associate professor in 1985. In 1989 he was appointed Professor in Applied Mathematics and in 1999, Dean of the Faculty of Science.

He is the author of over 85 articles and also the author or co-author of three texts or monographs and three edited works. He holds fellowships of the Third World Academy of Sciences, the Royal Society of South Africa, the South African Academy of Engineering, and the University of Cape Town. He is also an elected member of the Academy of Science of South Africa.

He is married to Shaada Pillay, a librarian at the University of Cape Town. They have a son, Jordi who is an engineering student.

He has around 100 publications including*Dual extremum principles in the dynamics of rigid perfectly plastic bodies undergoing finite deformations*(1981),*The obstacle problem for an elastoplastic body*(1990),*Acceleration waves in finitely deformed elastic-plastic solids*(1995),*Uniform convergence and a posteriori error estimators for the enhanced strain finite element method*(2004),*Computational model of soft tissues in the human upper airway*(2012),*Numerical approximation of variational inequalities arising in elastoplasticity*(2014) and*Multi-scale simulation of droplet-droplet interaction and coalescence*(2018).

**Nigel Tempest BISHOP (b. 11.09.1951)**

**Country:**South Africa

**Year:**1977.

**Degree:**Ph.D.

**Thesis title:**A trip through gravitation theory.

**University:**University of Southampton (UK).

**Advisor:**Peter Theodore Landsberg.

**Biographical Data:**He was born, and grew up, in Wimbledon, England and attended Rutlish Grammar School in Merton, London. An undergraduate at Caius College, University of Cambridge, he was tutored by Stephen Hawking. He was awarded a B.A. (Honours) in mathematics, and moved to the Department of Mathematics at the University of Southampton, where he obtained a PhD degree for a thesis on gravitation theory and cosmology. He was elected a Fellow of the Royal Astronomical Society.

After graduating, he moved to South Africa when appointed Lecturer at the University of the Witwatersrand where he was promoted to Senior Lecturer and later Associate Professor. His first appointment as full Professor of mathematics took place at the University of South Africa. While at the University of South Africa he was awarded the Vice-Chancellor's prize for the best researcher in the Faculty of Science, and in 2001 he received the South African Mathematical Society World Mathematical Year 2000 gold medal.

In 2009 he moved to Rhodes University as Professor and Head of Department of Mathematics. He has served as President of the South African Gravity Society. For many years he has been on the Council of the South African Mathematical Society, serving two terms as President. He is a founding Director of the South African Mathematics Foundation, and served as its Chair. Amongst other activities the Foundation is responsible for mathematics olympiads in South Africa, and South Africa's involvement in international competitions.

He has published over 70 scientific publications, and three books. The subjects of this work range from mathematical analysis to computer programming, from quantum gravity to discoveries about the horizons of black holes, and from cosmology to the theory of travel faster than light. However, for many years the focus of his work has been on gravitational waves. He is married to Ozlem Tastan Bishop, who is also at Rhodes University, in the Department of Biochemistry. They have two children, living in Pretoria and Cape Town.

**Dirk Pieter LAURIE (b. 05.01.1946)**

**Country:**South Africa

**Year:**1977.

**Degree:**Ph.D.

**Thesis title:**Numerical Treatment of the Time Variable in Parabolic Equations.

**University:**University of Dundee (UK).

**Advisor:**Andrew Ronald Mitchell.

**Biographical Data:**He was born in Cape Town, S Africa, the son of Henri de Guise Laurie and Christina Jacoba Van Rensburg. and educated at Stellenbosch University (B.Sc., M.Sc. 1967) and the University Dundee, Scotland (Ph.D. 1977). He was employed as a Research officer at the National Research Institute of Mathematics Sciences, Pretoria, South Africa (1968-1983), Professor at Potchefstroom University, Vanderfijlpark, South Africa.

He became a member of the edition board of the Journal Computational and Applied Mathematics in 1988. He is a Member of the Society for Industrial and Applied Mathematics, the South African Mathematics Society (secretary 1977-1989), and the South African Society Numerical Mathematics (serving as chairman). He married Catherina Elizabeth Opperman on 21 December 1968; they have five children, Henri, Diederik, Dirk-Pieter, Reenen, and Kestell. He gives his interests as choir, tennis, and cryptic crossword compilation.

He has published over 40 papers including*Propagation of initial rounding error in Romberg-like quadrature*(1975),*Basic principles of discretization methods*(1983),*A segregated CFD approach to pipe network analysis*(1994),*Orthogonal polynomials and Gaussian quadrature for refinable weight functions*(2004), and*The number of cones generated by a multiresolution analysis with a sequence of LULU operators*(2015).

**Louis LE-RICHE**

**Country:**South Africa

**Year:**1977.

**Degree:**Ph.D.

**Thesis title:**The Ring R.

**University:**Universiteit Stellenbosch (South Africa).

**Advisor:**James W. Brewer.

**Biographical Data:**He worked at Stellenbosch University. He published*Pure states and non-homogeneity*(1976) which contains the acknowledgement: "I wish to express my thanks to Dr G A Reid of Cambridge for his advice and encouragement and to the trustees of the Elsie Ballot Bursary Fund and the Abe Bailey Stipendium for their financial support."

In 1980 he published the paper*The Ring R*which contains the acknowledgement: "This paper forms part of the writer's Ph.D. thesis at the University of Stellenbosch under Professor J W Brewer. I wish to express my thanks to Professor Brewer, whose enthusiasm and example have proved continuing inspirations." Further publications by Le Riche are*R-endomorphisms fixing essential ideals need not be automorphisms*(1982) and*On group near-rings*(1989).

**Michel NGUIFFO-BOYOM**

**Country:**Cameroon

**Year:**1977.

**Degree:**Docteur-ès-Sciences Mathématiques.

**Thesis title:**Pseudo-groupes de Lie extrémaux et quelques applications topologiques [Pseudo-groups of Lie extremals and some topological applications].

**University:**Université de Paris-Sud (Orsay, France).

**Biographical Data:**He worked at the Institut de Mathématiques, Université des Sciences et Techniques du Languedoc, Montpellier, and the University of Montpellier, France.

Has published around 45 works which appear under variations of his name such as Ngiuffo B Boyom, Michel Ngiuffo Boyom, M Ngiuffo Boyom, Michel Ngiuffo B Boyom, etc. These papers include*Une caractérisation de l'involutivité pour les espaces d'endomorphismes*(1973),*Sur un problème de Singer-Sternberg*(1975), Affine embeddings of real Lie groups (1977),*The lifting problem for affine structures in nilpotent Lie groups*(1989),*Structures localement plates isotropes des groupes de Lie*(1993),*Truncated Lie groups and almost Klein models*(2004),*Cohomology and homology of abelian groups graded Koszul-Vinberg algebras*(2009), and*Classification of totally umbilical CR-statistical submanifolds in holomorphic statistical manifolds with constant holomorphic curvature*(2017).

**Mohamed Gawdat GOUDA**

**Country:**Egypt

**Year:**1977.

**Degree:**Ph.D.

**Thesis title:**Protocol Machines: Towards a Logical Theory of Communications Protocols.

**University:**University of Waterloo (Canada).

**Advisor:**Eric G. Manning.

**Biographical Data:**He worked at the University of Texas at Austin, USA. He has advised at least 25 Ph.D. students. The following was written in 1993: "Mohamed Gawdat Gouda was born and raised in Egypt. His first bachelor degree was in engineering (1968), and his second was in mathematics (1971). Both degrees are from Cairo University.

After his graduation, he moved to Canada where he obtained an MA in mathematics from York University (1972), and a Master (1973) and a Ph.D. (1977) in computing science from the University of Waterloo. Later, he moved to the United States of America where he worked for the Honeywell Corporate Technology Center for three years. In 1980, he moved to the University of Texas at Austin, and has settled there ever since, except for one summer at Bell Labs, one summer at MCC, and one winter at the Eindhoven Technical University. Gouda currently (1993) holds the Mike A Myer Centennial Professorship in Computing Science at the University of Texas at Austin.

Gouda's area of research is distributed and concurrent computing. In this area, he has been working on: abstraction, non-determinism, atomicity, convergence, stability, formality, correctness, efficiency, scientific elegance, and technical beauty (not necessarily in that order). Gouda was the founding Editor-in-Chief of the journal 'Distributed Computing', published by Springer-Verlag in 1985. He was the programme committee chairman of the 1989 SIGCOMM Conference sponsored by Association for Computing Machinery. He was the first program committee chairman for the International Conference on Network Protocols, established by the Institute of Electrical and Electronics Engineers Computer Society in 1993. Gouda is an original member of the Austin Tuesday Afternoon Club. In his spare time, he likes to design network protocols and prove them correct for fun."

Here are a few examples of his work:*Closed covers: to verify progress for communicating finite state machines*(1984);*The elusive atomic register revisited*(1986);*The virtue of patience: Concurrent programming with and without waiting*(1990);*Stabilizing communication protocols*(1991);*Elements of network protocol design*(1998);*Batch rekeying for secure group communications*(2001);*Firewall design: Consistency, completeness, and compactness*(2004);*Routing on a logical grid in sensor networks*(2004);*Reliable bursty convergecast in wireless sensor networks*(2007);*Diverse firewall design*(2008);*Firewall policy queries*(2009);*The best keying protocol for sensor networks*(2013); and*Hardness of firewall analysis*(2017).

**Edward Reinier SWART**

**Country:**South Africa

**Year:**1978.

**Degree:**Ph.D.

**Thesis title:**A Contribution to the Four-Colour Theorem.

**University:**University of the Witwatersrand (Johannesburg, South Africa).

**Advisor:**Derek S. Henderson.

**Biographical Data:**He worked at the University of Rhodesia, the University of Waterloo, Canada, the University of Guelph, Canada, and Okanagan University College, Kelowna, Canada. He spent time at the University of Waterloo where he was a guest of Bill Tutte.

He has published ten papers including*Some basic theorems on the abstract theory of Kempe-chain interchanges*(1976),*A systematic approach to the determination of reducible configurations in the four-color conjecture*(1978),*The philosophical implications of the four-color problem*(1980),*A factorial faceted, factorial extreme point polytope crafted from the assignment polytope*(2001), and*Using matching to detect infeasibility of some integer programs*(2017).

**Heneri Amos Murima DZINOTYIWEYI (b. 15.03.1950)**

**Country:**Zimbabwe

**Year:**1978.

**Degree:**Ph.D.

**Thesis title:**Equi-regular Measures and Measures continuous under Translation on Topological Semigroups.

**University:**University of Aberdeen (UK).

**Advisor:**Alan T. Paterson.

**Biographical Data:**He obtained his M.Sc. and Ph.D. at the University of Aberdeen, Scotland. He is the former Minister of Science and Technology Development, Zimbabwe, nominated in 2009 for the post by Prime Minister and Movement for Democratic Change leader Morgan Tsvangirai as part of the bipartisan government of national unity.

He was previously: Full professor and dean of science at the University of Zimbabwe; chairman of the Zimbabwe Integrated Programme (ZIP); lecturer in mathematics at the University of Nairobi; lecturer in mathematics at the University of Zimbabwe; chairman of the mathematics department at the University of Zimbabwe; chairman of the Southern Africa Mathematical Sciences Association; chairman of the Scientific Council of Zimbabwe; second vice president of the Panafrican Union for Science and Technology (PUST); and chairman of the Industrial Development Committee, Research Council of Zimbabwe. He has been a member of the Programme Management Group of the Commonwealth Partnership for Technology Management.

He has published around 30 papers including*Locally quasi-invariant measures*(1977),*On the analogue of the group algebra for locally compact semigroups*(1978),*Nonseparability of quotient spaces of function algebras on topological semigroups*(1982),*Uniformly continuous functions on some topological semigroups*(1986),*A characterisation of absolutely continuous measures on topological semigroups*(1994), and*Non-Archimedean harmonic analysis on topological semigroups. II*(1997).

**Hamad M. YEHIA (b. 03.04.1945)**

**Country:**Egypt

**Year:**1978.

**Degree:**Ph.D.

**Thesis title:**Qualitative analysis of the problem of rotation of a rigid body about a fixed point.

**University:**Moscow State University (Russia).

**Advisor:**Vladimir Grigorevich Demin.

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**Year:**1986.

**Degree:**D.Sc.

**University:**Moscow State University (Russia).

**Biographical Data:**He worked at Mansoura University, Egypt. He has published over 50 papers including*On the stability of the planar motions of a rigid body around a fixed point in a Newtonian force field*(Russian) (1981),*Reduction of the equation of motion of a rigid body about a fixed point to one differential equation*(1984),*Generalized natural mechanical systems of two degrees of freedom with quadratic integrals*(1992),*On the stability of motion of a gyrostat about a fixed point under the action of non-symmetric fields*(1999),*On certain two-dimensional conservative mechanical systems with a cubic second integral*(2002),*The master integrable two-dimensional system with a quartic second integral*(2006), and*Regular precession of a rigid body (gyrostat) acted upon by an irreducible combination of three classical fields*(2017).

**Jack Green OKECH**

**Country:**Kenya

**Year:**1978.

**Degree:**D.Ed.

**Thesis title:**A comparative analysis of mathematical knowledge and mathematical attitude between urban and suburban elementary school teachers.

**University:**Texas Southern University (TX, USA).

**Biographical Data:**His thesis describes knowledge and attitudes of teachers in urban and suburban elementary school and finds that there is no difference except for new teachers, teachers with more than eleven years experience and science teachers. In all these cases the knowledge and attitudes of suburban teachers is better than that of urban teachers.

He worked in the Faculty of Education, Kenyatta University, Nairobi, Kenya.

He has supervised around 10 Ph.D. students and published around 10 papers including*Across Cultural Analysis of Mathematics Attitudes of high school Students and Skills Required for Employment*(1987),*Innovation in a Kenyan B.Ed. (Primary) Course*(1989),*Pedagogy in Teaching at the University*(1997), and*Effective Teaching as a factor of Teachers' Attitude Towards Students*(1998).

**Jan Hendrik FOURIE**

**Country:**South Africa

**Year:**1979.

**Degree:**Ph.D.

**Thesis title:**Operators factoring compactly through a BK-Space.

**University:**Potchefstroomse Universiteit (South Africa).

**Advisor:**Johan Swart.

**Biographical Data:**He worked at the Potchefstroom University for Christian Higher Education, Potchefstroom, South Africa, and at the North-West University, Potchefstroom.

He has published around 40 papers including*Banach ideals of p-compact operators*(1978),*Projections and embeddings of locally convex operator spaces and their duals*(1984),*Banach space sequences and projective tensor products*(2003),*Equivalent Banach operator ideal norms*(2012), and*On p-convergent operators on Banach lattices*(2018).

He is a co-author of the book*The metric theory of tensor products. Grothendieck's résumé revisited*(2008).

**Ionel Michael NAVON (b. 28.04.1940)**

**Country:**South Africa

**Year:**1979.

**Degree:**Ph.D.

**Thesis title:**Numerical Methods for the Solution of the Shallow-Water Equations in Meteorology.

**University:**University of the Witwatersrand (Johannesburg, South Africa).

**Advisors:**David Harris Jacobson and Anthony Michael Starfield.

**Biographical Data:**He worked at Florida State University, Tallahassee, USA. He was awarded a B.Sc. (Mathematics, Physics and Meteorology) from the Hebrew University of Jerusalem (1967), an M.Sc. (Meteorology) from the Hebrew University of Jerusalem (1971), and a Ph.D. (Applied Mathematics) (1979). He worked as a Research Assistant, Hebrew University of Jerusalem (1967-1970), Tel-Aviv University (1970-73), Israeli Meteorological Service (1974-75), National Research Institute for Mathematical Sciences, Council for Scientific and Industrial Research, South Africa (1976-85), Florida State University (1985-).

He has over 200 publications including*A linear ADI method for the shallow-water equations*(1980),*A Numerov-Galerkin technique applied to a finite-element shallow-water equations model with enforced conservation of integral invariants and selective lumping*(1983),*Analysis of the Turkel-Zwas scheme for the two-dimensional shallow water equations in spherical coordinates*(1997),*On a posteriori pointwise error estimation using adjoint temperature and Lagrange remainder*(2005),*Reduced-order modelling of an adaptive mesh ocean model*(2009),*Non-parametric calibration of the local volatility surface for European options using a second-order Tikhonov regularization*(2014), and*Efficiency of randomised dynamic mode decomposition for reduced order modelling*(2018).

**David RACE (b. 09.07.1954)**

**Country:**South Africa

**Year:**1979.

**Degree:**Ph.D.

**Thesis title:**The Spectral Theory of Complex Sturm-Liouville Operators.

**University:**University of the Witwatersrand (Johannesburg, South Africa).

**Advisor:**Ian Knowles.

**Biographical Data:**He was born in Middlesbrough, Yorkshire, England. He was awarded a B.Sc. from the University of Cambridge (1975), an M.Sc. from the University of Dundee, Scotland (1977) and a Ph.D. from the University of Witwatersrand (1979). He worked as an Assistant lecturer at the University of Witwatersrand (1977-78), a Lecturer (1979-81), and a Senior Lecturer (1982-83). In 1984 he moved to England and was appointed as a Lecturer at the University of Surrey, Gilford.

He has over 30 publications including*On necessary and sufficient conditions for the existence of Carathéodory solutions of ordinary differential equations*(1977),*On the location of the essential spectra and regularity fields of complex Sturm-Liouville operators*(1980),*The theory of J-selfadjoint extensions of J-symmetric operators*(1985),*On the commutativity of certain quasidifferential expressions*(1990), and*Self-adjointness for the Weyl problem under an energy norm*(1995).

**Ali Seif A. MSHIMBA (b. 31.01.1948)**

**Country:**Tanzania

**Year:**1979.

**Degree:**Dr.rer.nat.

**Thesis title:**Konstruktion von Lösungen nichtlinearer elliptischer Differential-gleichungssysteme erster Ordnung in der Ebene durch komplexe Methoden im Sobolev - Raum W sub {1,p} (G) (insbesondere Lösung des Dirichlet - Randwertproblems mit Randwerten aus dem Slobodeckij - Raum W sub {s,p} (L), s = 1 - 1/p) [Construction of Solutions of Nonlinear Systems of Elliptic Differential Equations of First Order in the Plane Using Complex Methods in the Sobolev Space W sub{1, p} (G) (in Particular the Solution of the Dirichlet Boundary Value Problem with Boundary Values from the Sobolev Space W sub {s, p}(L), s = 1 - 1/p)].

**University:**Martin Luther University (Halle - Wittenberg, Germany).

**Advisor:**Wolfgang Tutschke.

**Biographical Data:**He worked at the University of Dar es Salaam, Tanzania, and the State University of Zanzibar, Tanzania.

He has published around 30 papers including*On the L_p norms of some integral operators*(1983),*On the Hilbert boundary value problem for holomorphic function in Sobolev spaces*(1988),*On the solution of a mixed boundary value problem for an elliptic differential equation in Sobolev spaces*(1991), and*On the existence of a solution in weighted Sobolev space to the Riemann-Hilbert problem for an elliptic system with piecewise continuous boundary data*(2006).

**Patrick Azele PHIRI (b. 25.11.1951)**

**Country:**Zambia

**Year:**1979.

**Degree:**Ph.D.

**Thesis title:**Equilibrium points and control problems in dynamic urban modelling.

**University:**University of Leeds (UK).

**Advisors:**F. A. Goldworthy, A. G. Wilson and J. Rubio.

**Biographical Data:**He was born in Chipata, Zambia, the son of Sandikonda Augustine Phiri and Christina Titumenji. He was awarded a B.Sc. (1974) from the University of Zambia, Lusaka, am M.Sc. (1976) from the University of Zambia. and a Ph.D. (1979) from the University of Leeds, England. He worked as a Lecturer at the University of Zambia (1979-82), a Lecturer at the University of Swaziland, Kwaluseni (1982-89), Senior Lecturer (1990-). He served as Head of the Mathematics Department of the University of Swaziland (1984-90) and Assistant Dean of the Faculty of Science of the University of Swaziland (1984-88).

He married Hilda Robo Msonda on 15 March 1980; they have five children: Andrew, Margaret, Joyce, Patrick, and Junior.

He has published papers including*Calculation of the Equilibrium Configuration of Shopping Facility Sizes*(1980),*Baer lattices*(1994),*A comparison of assessment by closed book and open book tests*(2006), and*An investigation of Zambian mathematics student teachers' technological pedagogical content knowledge*(2018).

**Josephat Martin HARVEY (12.11.1949-18.02.2011)**

**Country:**Zimbabwe

**Year:**1979.

**Degree:**Ph.D.

**Thesis title:**Factorisations, auto-triviality, pseudo-topological functors and topology.

**University:**University of Zimbabwe (Harare, Zimbabwe).

**Biographical Data:**Access his biography at THIS LINK

**Henry Amadalo MULINDI (b. 15.12.1941)**

**Country:**Kenya

**Year:**1979.

**Degree:**D.Ed.

**Thesis title:**Guidelines for pure and applied modern mathematics curriculum development for secondary schools in Kenya.

**University:**Columbia University Teachers College (New York, USA).

**Biographical Data:**His father David Mulindi was a teacher and became president of the Kenya National Union of Teachers. Henry was born in Maragoli, Kenya. He studied at Kakamega High School, graduating in 1960, and was awarded a grant to study in the United States. He studied at the Technical Institute in Morrisville, and then to the State University College in Buffalo, supported by a scholarship from the Quakers in Upstate New York, in 1964 and earned a B.S. in physics in June 1966. As well as teaching mathematics, he became President of the African World Music Associates and a D.J. on Radio WKCR 89.9 FM in New York.

**Doron Shaul LUBINSKY (b. 28.09.1955)**

**Country:**South Africa

**Year:**1980.

**Degree:**Ph.D.

**Thesis title:**Exceptional Sets ofPadé Approximants.

**University:**University of the Witwatersrand (Johannesburg, South Africa).

**Advisor:**Colin John Wright.

**Biographical Data:**He was born in Johannesburg, South Africa, the son of Israel Emmanuel and Zivia Lubinsky. He was awarded a B.Sc. by the University of the Witwatersrand (1977) followed by a Ph.D. from the same university. Worked as a postdoctoral fellow at Technion, Haifa, Israel (1980-1982), then a Research Officer for the Council for Scientific and Industrial Research, Pretoria, South Africa (1982-1989). He was a Professor at Witwatersrand University, Johannesburg, from 1989 until he moved to the Georgia Institute of Technology, Atlanta, USA. He married Jennifer Miller on 9 February 1992.

MathSciNet lists 266 papers by Doron Lubinsky mostly on approximation theory and expansions. His papers include*Diagonal Padé approximants and capacity*(1980),*Weights on the real line that admit good relative polynomial approximation, with applications*(1987),*Distribution of poles of diagonal rational approximants to functions of fast rational approximability*(1991),*Necessary and sufficient conditions for mean convergence of Lagrange interpolation for Freud weights*(1995),*Convergence of product integration rules for weights on the whole real line*(2000),*Weights whose biorthogonal polynomials admit a Rodrigues formula*(2006),*Averages of ratios of Christoffel functions for compactly supported measures*(2011), and*Mean convergence of interpolation at zeros of Airy functions*(2018).

**Simplice DOSSOU-GBETE**

**Country:**Benin

**Year:**1980.

**Degree:**Doctorat 3ème cycle.

**Thesis title:**Contribution à l'étude des fonctions aléatoires.

**University:**Université Paul Sabatier (Toulouse, France).

**Advisor:**Pierre Ettinger.

**Biographical Data:**He worked at Université de Pau et des Pays de l'Adour in Pau, France. He works on statistics, particularly on time series and stochastic processes.

His papers include*A note on some stationary, discrete-time, scalar linear processes*(1977),*Identification and preliminary estimation of ARMA type processes: some comments*(1980),*Asymptotic study of eigenelements of a sequence of random selfadjoint operators*(1991),*Biplots for matched two-way tables*(2002),*Factorial experimental designs and generalized linear models*(2005),*Stochastic dependence modelling using conditional elliptical processes*(2012), and*Ties in one block comparison experiments: a generalization of the Mallows-Bradley-Terry ranking mode*l (2017).

**Gaston Mandata NGUEREKATA (b. 20.05.1953)**

**Country:**Central African Republic

**Year:**1980.

**Degree:**Ph.D.

**Thesis title:**Remarques sur les Equations Differentielles Abstraites [Remarks on abstract differential equations].

**University:**Université de Montréal (Canada).

**Advisor:**Samuel D. Zaidman.

**Biographical Data:**He was born in Paoua, Central African Republic. He received his undergraduate degree and Ph.D. from the University of Montreal in Canada. He then attended the University of California at Berkeley as a post-doctoral Fulbright scholar. He taught at the University of Quebec at Trois-Rivieres, the Polytechnical School of Montreal (Canada), the University of Bangui (Central African Republic) and Daemen College (Buffalo) before joining Morgan State University, Maryland, USA, in 1996. He was a visiting scholar in several institutions: University of Montreal, Laval University in Quebec, Canada, the University of California at Berkeley, and the State University of New York at Buffalo. He is a full Professor and a former Dean, Vice-Rector and Rector of the University of Bangui.

Currently, he is Chair of the Mathematics Department of Morgan State University. He was High Commissioner and deputy Minister of Science, Technology and Environment from 1987 to 1992, then Minister and Spokesman to the Head of State (1992-1993) in the Central African Republic. He is Commander in the order of Merit and a recipient of France's Legion of Honour. He has participated in many international conferences worldwide on Science, Environment and Higher Education. As a former Vice-President of the African Ministerial Conference on Environment, he attended the United Nations Conference on Environment and Development held in Rio de Janeiro, Brazil, in 1992, as Spokesman of the African Ministerial group.

He has over 200 publications including the papers*On almost-periodic perturbation of exponentially dichotomic abstract differential equations*(1982),*Some remarks on asymptotically almost automorphic functions*(1988),*On almost automorphic differential equations in Banach spaces*(1999),*On some perturbations of some abstract differential equations*(2003),*On the topological structure of almost automorphic and asymptotically almost automorphic solutions of differential and integral equations in abstract spaces*(2004),*Almost automorphic solutions for partial functional differential equations with infinite delay*(2007),*Existence of mild solutions of some semilinear neutral fractional functional evolution equations with infinite delay*(2010),*Almost automorphic functions of order n and applications to dynamic equations on time scales*(2014), and*Recurrence of bounded solutions to a semilinear integro-differential equation perturbed by Lévy noise*(2018).

**Amal RASHED**

**Country:**Egypt

**Year:**1981.

**Degree:**Ph.D.

**Thesis title:**A Study of Fuzzy Variables and Some Comparisons with Random Variables.

**University:**University of Sheffield (UK).

**Advisor:**Marepalli Bhaskara Rao.

**Biographical Data:**He worked in the Mathematics Department, South Valley University, Qena, Egypt. He undertakes research in Computer Security and Reliability.

His papers include*Some comments on fuzzy variables*(1981),*A Study and modification Gray-Scale image Enhancement by Using Standard Deviation*(2007), and*Facial Features Detection and Localization*(2018).

**Mamadouba TOURE**

**Country:**Guinea

**Year:**1981.

**Degree:**Ph.D.

**Thesis title:**Etude de quelques éspaces modulaires definiés par de fonctions dépendants d'un paramètre [Study of some modular spaces defined by functions dependent on one parameter].

**University:**Uniwersytet im Adama Mickiewicza (Pozna, Poland).

**Advisor:**Julian Musielak.

**Biographical Data:**He worked at the Adam Mickiewicz University, Poznan, Poland.

He has published around 10 papers including*Contribution aux espaces dénombrablement modulaires*(1981),*Contribution aux espaces d'Orlicz*(1982),*Espaces dénombrablement modulaires définis par une mesure purement atomique*(1988), and*Continuité modulaire des fonctions d'un sous-espace d'Orlicz*(1989).

**Harrisson RATSIMBA-RAJOHN**

**Country:**Madagascar

**Year:**1981.

**Degree:**Doctorat 3ème cycle.

**Thesis title:**Etude de deux méthodes de mesures rationnelles : la commensuration et le fractionnement de l'unité, en vue d'élaboration de situations didactiques.

**University:**Université Bordeaux 1 (France).

**Advisor:**Guy Brousseau.

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**Year:**1992.

**Degree:**Doctorat d'Université.

**Thesis title:**Contribution à l'étude de hiérarchie implicative. Application à l'analyse de la gestion didactique des phénomènes d'ostension et de contradictions [Contribution to the study of implicative hierarchy. Application to the analysis of didactic management of the phenomena of exposition and of contradiction].

**University:**Université Rennes 1 (France).

**Advisors:**Régis Gras and Guy Brousseau.

**Biographical Data:**He was the son of Harris Ratsimba-Rajohn and Julie Régine Bakolalao Razafimahazo. He worked at the University of Rennes and the Laboratoire de didactique des Sciences et Techniques, Talence, France which is part of the University of Bordeaux.

His works include*Étude didactique de l'introduction ostensive des objets mathématiques sur les mathématiques*(1977),*Eléments d'étude de deux méthodes de mesures rationnelles*(1982),*Les macles de contradiction: outil d'aide à l'analyse didactique et instrument de gestion de situation didactique*(1993),*Vingt ans de didactique des mathématiques en France. La méthode d'analyse implicative en didactique. Application*(1994),*Guide d'utilisation des principales fonctionnalités du logiciel CHIC*(2009), and*Les jeux vidéo en médiathèque: de la maîtrise des enjeux vers la construction d'une politique documentaire*(2012).

**Overtoun Malandula G. JENDA (b. 29.08.1954)**

**Country:**Malawi

**Year:**1981.

**Degree:**Ph.D.

**Thesis title:**On Injective Resolvents.

**University:**University of Kentucky (USA).

**Advisor:**Edgar Earle Enochs.

**Biographical Data:**He served as Associate Provost for Diversity and Multicultural Affairs and Associate Dean of the College of Sciences and Mathematics at Auburn University, Auburn, Alabama, USA, and then became Associate Dean for Minority Programs and Special Academic Projects and Professor of Mathematics at Auburn University. Prior to coming to Auburn, he was a faculty member at the University of Kentucky, University of Botswana, and University of Malawi. He received a Ph.D. and M.A. in Mathematics from the University of Kentucky and a B.S. in Mathematics (with Distinction) from the University of Malawi.

His area of research is Homological Algebra, and he has published two graduate and research level books and over 60 research articles in this area including*Balanced functors applied to modules*(1985),*Syzygies of resolvents over Gorenstein rings*(1990),*Resolutions by Gorenstein injective and projective modules and modules of finite injective dimension over Gorenstein rings*(1995),*Compact coGalois groups*(2000),*The existence of Gorenstein flat covers*(2004),*Closure under transfinite extensions*(2007), and*Submonoids of the formal power series*(2017).

He has been the Principal Investigator for numerous grants focusing on STEM education, including the US-Africa Collaborative Research Network in Mathematical Sciences and Masamu Program, Alabama Alliance for Students with Disabilities in STEM, INCLUDES South East Alliance for Persons with Disabilities in STEM, Research Experience for Undergraduates (REU) in Algebra and Discrete Mathematics, MAKERS Scholarships in STEM (S-STEM), GK-12 Fellows in Science and Mathematics for East Alabama Schools, Alabama Alliance for Graduate Education and the Professoriate, and the Louis Stokes Alliance for Minority Participation (LSAMP) program and LSAMP Bridge to the Doctorate program.

**David Olarewaju OLAGUNJU (b. 08.09.1948)**

**Country:**Nigeria

**Year:**1981.

**Degree:**Ph.D.

**Thesis title:**Bifurcation and Stability of Propagating Oscillatory Flames.

**University:**Northwestern University (Evanton, Illinois, USA).

**Advisor:**Bernard Matkowsky.

**Biographical Data:**He was born in Nsuta, Ghana, the son of Elijah Adeyeye and Deborah Arinpe. Studied at Ahmadu Bello University, Zaria, Nigeria (B.Sc 1974; M.Sc. 1977) and Northwestern University, Evanton, Illinois, USA (Ph.D. 1981). He worked at Ahmadu Bello University as an Assistant Lecturer (1976-79), Lecturer II (1979-82), Lecturer I (1982-85), the Senior Lecturer, Nigerian Defense Academy, Kaduna (1985-1988) becoming an assistant professor at the University of Delaware, Newark in 1989. He married Elizabeth O Olawole, on 13 December 1975; they have four children: Deji, Yemisi, Segun, and Adeola.

He had published over 20 papers including*Pulsations in a burner-stabilized premixed plane flame*(1981),*Spinning waves in gaseous combustion*(1982),*Elastic instabilities in cone-and-plate flow: small gap theory*(1995),*Secondary flow in non-isothermal viscoelastic parallel-plate flow*(2005), and*Analytical and numerical solutions for torsional flow between coaxial discs with heat transfer*(2008).

**Olawoye Soladoye ADEGBOYE**

**Country:**Nigeria

**Year:**1981.

**Degree:**Ph.D.

**Thesis title:**On Testing against Restricted Alternatives in Gaussian Models.

**University:**Bowling Green State University (Ohio, USA).

**Advisor:**Arjun Kumar Gupta.

**Biographical Data:**He worked at the University of Ilorin, Ilorin, Nigeria and at Ladoke Akintola University of Technology, Ogbomoso, Oyo State, Nigeria.

His papers include*On testing against restricted alternatives for Penrose model*(1985),*Parameter selection for a delay equation (1990), The optimal classification rule for exponential populations*(1993),*Statistical tables for class work and examination*(1995), and*Equations for generating normally distributed random variables with specified intercorrelation*(2010).

**Alewyn Petrus BURGER (b. 20.06.1951)**

**Country:**South Africa

**Year:**1981.

**Degree:**Ph.D.

**Thesis title:**The Asymptotic Distribution of Sequential Rank Statistics under Fixed Alternatives.

**University:**University of South Africa (Pretoria, South Africa).

**Advisor:**Frederick Lombard.

**Biographical Data:**He was born in Bloemfontein, South Africa, the son of Alewyn Petrus Burger and Elsa Maria Verster. He attended the Rand Afrikaans University, Johannesburg (B.Sc. 1974), the University of South Africa, Pretoria (Ph,D, 1981), the American Electric Power, Unisa School of Business, Pretoria (1986) and undertook postgraduate studies at Harvard University, USA, in 1991. He worked as a Lecturer in Statistics at the Rand Afrikanans University (1973-1979), an operations researcher at the United Building Society, Johannesburg (1979-1982) becoming assistant general manager technical at the Building Society (1983-1985), general manager technical at the same Building Society (1986-1989), executive director technical (1990-1991). In 1991 he was appointed as executive director technical at the Amalgamated Banks of South Africa, Johannesburg. Board directors Saswitch, Building Socs. Data Bureau, Automated Clearing Bureau. He married Annette Verhoef on 15 December 1973; they have three children: Helouise, Alewyn, and Elsa.

Here is the Abstract of his thesis: "A number of basic problems in non-parametric statistics are analysed, namely one-sample symmetry, two-sample shift and independence. The relevant test statistics are based on serial ranks and are by nature of serial ranks suitable for the sequential testing of hypothesis.

A class of fixed non-parametric test procedures are derived for the independence problem. The asymptotic distribution of the statistics are obtained under the hypothesis and contiguous alternatives by projecting the locally most powerful parametric test statistics into the class of linear serial rank statistics.

Concerning the symmetry and two-sample problems, invariance principles are derived for general regression statistics, which include the two-sample case, and statistics suitable for testing the hypothesis of symmetry. These invariance principles are derived under the hypothesis by direct application of the Lindeberg condition, under the assumption that the score function is increasing, continuous and square-integrable on (0, 1).

Under a further restriction, i.e. that the score function has a bounded second derivative, invariance principles for serial rank statistics are derived under fixed alternatives by making use of a further projection technique, originally used by Reynolds (1975) to obtain an invariance principle for a sequential test procedure for the hypothesis of symmetry.

An invariance principle is derived for a multi-stage test for symmetry based on serial ranks, from which analytic expressions are obtained for the values of the decision constants which were calculated empirically by other authors.

Finally Monte Carlo simulation results on various serial rank statistics provide an indication of the speed of convergence to the normal distribution."

**Pascal Kossivi ADJAMAGBO (b. 1956)**

**Country:**Togo

**Year:**1981.

**Degree:**Doctorat 3ème cycle.

**Thesis title:**Déterminant non-communicatif et systèmes differentiels [Skew determinant and differential systems].

**University:**Université de Paris 6 (France).

**Advisor:**Jean Vaillant.

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**Year:**1991.

**Degree:**Doctorat d'état.

**Thesis title:**Fondements de la théorie des déterminants sur un domaine de Ore [Fundaments of the theory of determinants on an Ore domain].

**University:**Université de Paris 6 (France).

**Advisor:**Jean Vaillant.

**Biographical Data:**He worked at the Université Pierre-et-Marie-Curie, Paris VI. In 2012 he was appointed to the African Union's science, technology and innovation advisory panel. He founded the People's Movement for Freedom. He became President of the Council of Universities and Panafrican Experts.

He had published around 30 papers including*Déterminant sur des anneaux filtrés*(1981),*Réseaux sur des anneaux filtrés*(1982),*Sur le groupe de Whitehead et les systèmes d'équations aux dérivées partielles*(1984),*Sur l'effectivité du lemme du vecteur cyclique*(1988),*A new inversion formula for a polynomial map in two variables*(1991),*On separable algebras over a U.F.D. and the Jacobian conjecture in any characteristic*(1995), and*A proof of the equivalence of the Dixmier, Jacobian and Poisson conjectures*(2007).

**Idris ASSANI**

**Country:**Benin

**Year:**1981.

**Degree:**Doctorat 3ème cycle.

**Thesis title:**Multivalued Conditional Expectation and Multivalued Martingales.

**University:**Université de Paris 6 (France).

**Advisor:**R. Pallu de la Barriere.

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**Year:**1986.

**Degree:**Doctorat d'état.

**Thesis title:**Contribution to the Ergodic Theory of Operators, and Multivalued Maps with values in a Banach Space.

**University:**Université de Paris 6 (France).

**Advisor:**Antoine Brunel.

**Biographical Data:**He was born in Niger but is Beninese. He studied in France at University Paris Dauphine (M.S. Commerce 1981), and at the Université Pierre-et-Marie-Curie, Paris VI (Doctorat 3ème cycle 1981; Doctorat d'état 1986).

Here is his own description of his experiences in the United States, "I came to the USA in 1988 knowing very little about the country and trusting the University of North Carolina, Chapel Hill, Mathematics department who invited me. But soon enough I find myself forced to go to the courts and to the American Mathematical Society Council to have my work and abilities recognized. My legal actions were settled in 1995, and in that year I was finally promoted to the rank of Associate Professor with tenure. As part of the settlement (may be to make up for all that had gone wrong) I was allowed to apply for promotion to Full Professor one year later. I was promoted to Full Professor after a full review on 1 July 1996. I then became the first black mathematician to be a tenured associate professor and the first to be promoted to the rank of Full professor at the oldest public university in the country (more than 200 years old).

I am certainly the only one in the history of the department to be promoted from Associate to Full professor in one year. The struggle is not over as mentalities are very difficult, if not impossible, to change and it is not easy to stay here. I used my struggle to open up the admission of Black graduate students in the department. I was told that there was only one Black student in the entire history of the department who got a Ph.D. and it was before I came to Chapel Hill. There are now 3 Black graduate students in the department preparing for a Masters and a Ph.D."

Idris Assani has over 60 publications including the papers*Une caractérisation des Banach réticulés faiblement séquentiellement complet*(1984),*On the loss of information in the transition from deterministic systems to probabilistic processes*(1986),*Rota's alternating procedure with nonpositive operators*(1989),*Strong laws for weighted sums of independent identically distributed random variables*(1997),*Properties of Wiener-Wintner dynamical systems*(2001),*An L1 counting problem in ergodic theory*(2005),*On the one-sided ergodic Hilbert transform*(2007),*Pointwise characteristic factors for the multiterm return times theorem*(2012), and*Extension of Wiener-Wintner double recurrence theorem to polynomials*(2018).

He also published the book*Wiener Wintner ergodic theorems*(2003).

The International and African Mathematical Union Commission on the History of Mathematics in Africa produced a Special Issue of their

The list below contains those whose PhDs were gained between 1923 and 1981. It is ordered chronologically and then alphabetically inside each year.

An alphabetical list of African men PhDs is at THIS LINK

*AMUCHMA Newsletter***30**in 2005 which listed people born in Africa or citizens of an African country who had been awarded a doctorate in mathematics or mathematics education up to 2005. We give below a version of this list containing only men to which we have made some corrections and added biographical data for those being awarded the degree up to 1981.The list below contains those whose PhDs were gained between 1923 and 1981. It is ordered chronologically and then alphabetically inside each year.

An alphabetical list of African men PhDs is at THIS LINK

The list continues at THIS LINK.

The list continues at THIS LINK.

Written by J J O'Connor and E F Robertson

Last Update March 2019

Last Update March 2019