# Czesław Olech

### Born: 22 May 1931 in Pińczów, Poland

Died: 1 July 2015

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**Czesław Olech**was born in Pińczów, a town about 60 km north east of Kraków and 40 km south of Kielce. His father, who had trained as a forester, was a secondary school teacher of biology while his mother had also been a school teacher before her marriage. Czeslaw attended elementary school in Pińczów before continuing his education for four years in the Pińczów Gymnasium. These were difficult years because of World War II. Poland had been an independent country since 1919 but, at the start of World War II in 1939, Russia and Germany had a pact, the so-called Ribbentrop-Molotov pact, to divide Poland between them. The two-pronged attack - the Germans from the west and the Russians from the east - quickly defeated the Polish army and the district that Olech was living in was occupied by German forces. Despite this, teachers were able to keep the schools running and he was able to continue his education without interruptions. He showed a marked talent for mathematics so his father thought that he should have the benefit of a specialist mathematical school to complete his schooling. It was in Kielce that Olech attended the specialist mathematical school, entering the Stefan Zeromski High School there in 1947. He graduated from the High School on 13 May 1949.

After passing the maturity examination, Olech still had no very definite aims concerning the subjects he wanted to study. He writes [5]:-

He embarked on a three-year course leading to a first degree in mathematics. In his first year he took three lecture courses: analysis by Tadeusz Ważewski, algebra by Andrzej Turowicz and analytic geometry by Jacek Szarski. Andrzej Turowicz (1904-1989) was a Benedictine monk and Catholic priest who lived in the monastery at Tyniec, near Kraków. He had been a student of Ważewski, obtaining his doctorate in 1946. Jacek Szarski (1921-1980) had also been a student of Ważewski, obtaining his doctorate in 1945. Olech enjoyed all three courses, which were well delivered, but he had special praise for Ważewski's style of lecturing: the most vibrant of the three, and the class had to be very alert since he often addressed questions to his audience. Olech not only had excellent teachers, he also had some exceptionally talented fellow students. Three of these students, Zdzisław Opial (1930-1974), Wlodzimierz Mlak (1931-1994), and Jan Bochenek (1927-2009), were soon appointed as assistants and went on to become professors of mathematics. After completing the three-year first degree, Olech was accepted onto the course leading to a Master's Degree (essentially equivalent to a doctorate).I chose mathematics since I was convinced that this was the direction that gave me the best chance of being accepted to study at a college, and so it was. Without difficulties, I was accepted to study mathematics at the Jagiellonian University of Kraków. At that time I did not expect a different future than that of a middle school mathematics teacher.

Stanisław Golab (1902-1980) had been a student of Stanisław Zaremba, obtaining his doctorate in 1931. He worked at the University of Science and Technology in Kraków and he offered Olech a job as his assistant. Olech accepted and began working for Golab on 18 August 1952. He was assigned a desk in a large room where all the mathematics assistants worked. A few days after he started work he was given a problem to solve [5]:-

Let us add that the joint Golab-Olech paper, entitledI found a letter on the desk from Professor Golab, with details of a task to be solved. I already had some experience in solving mathematical problems, and so I managed to solve it. I informed the Professor at the earliest opportunity that I had completed the task. He was not curious about the details, but he asked me to write out my solution, which of course I did. I did not hear anything more about it until after a long time I was told that money had been put into my bank account. I was amazed and I ask for what? ... After explanation of the mystery, I learned that I had published a joint work with Professor Golab in 'Annales Polonici Mathematici'. Is it possible to think of a better surprise?... I received the award personally presented by His Magnificence the Rector, Zygmunt Kowalczyk.

*Contribution à la théorie de la formule simpsonienne des quadratures approchées*Ⓣ, was published in French and appeared in 1954. Also note that the Rector of the University of Science and Technology, who presented Olech with his award, was the engineer and geologist Zygmunt Kowalczyk (1908-1985). After being awarded a three-year scholarship to undertake research, Olech had to give up his position as an assistant at the University of Science and Technology. The first of these three years, however, was not to be spent undertaking research in mathematics but in attending lectures on Marxism-Leninism. This aspect of the doctoral course put some students off completing their doctorates, for example Olech's fellow student Jan Bochenek gave up his doctorate rather than study these lectures.

Olech married Jadwiga Jastrzebska, who was a mathematician and teacher. They had five children: Teresa (born 1955), Anna (born 1956), Wanda (born 1959), Barbara (born 1963), and Janusz (born 1963). He defended his doctoral thesis

*On the asymptotic coincidence of sets filled up by integrals of two systems of ordinary differential equations*on 26 April 1958. He was not particularly happy with his thesis, however. He wrote [5]:-

In September 1954 Ważewski and Solomon Lefschetz had met at the International Congress of Mathematicians in Amsterdam. Ważewski had there presented his ideas of applying the topological notion of a retract to the study of the solutions of differential equations and Lefschetz had seen the idea as being one of the most significant advances in the study of differential equations. This led to Lefschetz inviting Olech to spend a year in the United States. Olech spent the academic year 1960-61 at the Research Institute of Advanced Studies (RIAS) in Baltimore where Lefschetz was director. He arrived in October 1960. He gave a lecture course on the method of retracts and its applications. It was a particularly successful year during which he made several contacts which led to collaborations. In particular he worked with Philip Hartman and they published the joint paperIn a short time I completed a doctoral thesis. It was not the best work among my achievements. The job I had to do was to "glue" two concepts together that do not really fit together very much. The job done, but the result did not impress, at least not the author. The work was published, and accepted as satisfying the conditions of the doctoral thesis. I successfully defended my doctorate, but the work had no further "life". At least I did not notice it.

*On global asymptotic stability of solutions of differential equations*(1962). His friendship with Gary Meisters led to many joint publications, the first being

*Locally one-to-one mappings and a classical theorem on schlicht functions*(1963). During Olech's year at Princeton, Lawrence Markus lectured on problems of global stability of differential equations and Olech was able to generalise some of the results. This contribution was highly praised by Lefschetz.

Returning to Poland in 1961, Olech worked on his habilitation thesis which he submitted in the following year. This thesis,

*On the global stability of an autonomous system on the plane*, was published in the first volume of the journal

*Contributions to Differential Equations*in 1963. He worked at the Institute of Mathematics of the Polish Academy of Sciences in Kraków, and taught both at the University of Science and Technology in Kraków and at the Jagiellonian University in Kraków. He was promoted to associate professor in 1966 and had a second research visit to the United States when he spent from January 1967 to April 1968 at Brown University. He became a full professor in 1973.

However, we mentioned above that Olech and his wife had five children. In fact the last two of these were twins born in 1963. As his large family grew up he found that accommodation in Kraków was limited and he sought a move. Offers came from a number of different universities, in particular from Gdańsk, Katowice, and Gliwice. In 1970 he chose to accept an offer to move to Warsaw and take on the role as director of the Institute of Mathematical Sciences of the Polish Academy of Sciences there. He took up that position in July and in September of that year he was an invited speaker at the International Congress of Mathematicians in Nice. He became involved in plans to create an international mathematics research centre in Warsaw. This was finally agreed on 13 January 1972 when the Stefan Banach International Mathematical Centre in Warsaw was founded. Olech became the first director of this International Mathematical Centre, a position he held until 1991.

In 1978, at the International Congress of Mathematicians in Helsinki, an invitation to hold the 1982 Congress in Warsaw was accepted. In 1979 Olech became a member of the Executive Committee of the International Mathematical Union. However, the political situation in Poland had serious repercussions for the Congress. A strike at the Gdańsk shipyard led by Lech Walesa forced concessions from the government. Walesa led the strong Solidarity trade union which increased in its power. The government decided to attempt to break Solidarity by introducing martial law in December 1981. As a result of the political situation, the Executive Committee of the International Mathematical Union decided to postpone the Congress to 1983 but to hold the General Assembly of International Mathematical Union in Warsaw, as had been planned, in August 1982. Olech was chairman of the Polish Organizing Committee for the Congress which was responsible for all the arrangements. He reported to the General Assembly in August 1982 that plans were going well, and the majority of invited speakers had accepted the invitation to deliver lectures.

However, some delegates at the meeting expressed the view that the Congress could not take place as planned in 1983 if martial law was still in force. However [1]:

American delegates suggested that moral aspects should take precedent and the Congress should be cancelled. Olech replied [1]:-Olech took a definite stand. He stated that there were serious reasons for such a drastic decision as the introduction of martial law; that otherwise, more tragic developments were likely to have occurred. Thus, he maintained, one should not expect martial law to be suspended before the circumstances that had caused it to be introduced no longer obtained.

After further discussion during which Olech continued to argue strongly that the Congress should go ahead, Frank Adams proposed a motion: "This Assembly will prefer that the Congress take place." The discussion that followed made it clear that, if a vote took place, the motion would pass but some would vote against [1]:-Refusing now to organise the Congress would be perhaps a comfortable decision from a moral point of view but also irresponsible and harmful to all those who are eager to attend the Congress and especially to invited speakers who accepted the invitation and are anxious to address the Congress. We cannot turn our back on the responsibility we took in1978simply to avoid a morally uncomfortable decision.

Frank Adams withdrew his motion. Olech had not only succeeded in ensuring that the Congress go ahead as planned in 1983 but he had also saved the International Mathematical Union from a damaging situation. At the opening ceremony of the Congress, which took place in the Palace of Culture on 16 August 1983, Olech was elected President of the Warsaw Congress.In this situation Olech, who would have been the greatest personal winner, showed statesmanship. He said that the resolution introduced by Professor Adams should not be voted on. The resolution would not be accepted unanimously, and this would put the Executive Committee in the situation that any decision it took would be against some members of the Union and might be dangerous for the future of the Union. A decision taken by the Executive Committee in November would not carry such a danger, since the Executive Committee members do not represent any country but only themselves as individuals.

The speeches he gave on that occasion are available at THIS LINK and at THIS LINK

After the Congress, Olech continued to hold major roles in Polish mathematics. He was president of the Board of Mathematics of the Polish Academy of Sciences in 1987-89 and president of the Scientific Council of the Institute of Mathematics of the Polish Academy of Sciences in 1990-2002.

To give an indication of the range of Olech's mathematical contributions, we quote from [6]:-

Olech has received many honours for his outstanding contributions to mathematics. He was elected a Corresponding Member of the Polish Academy of Sciences in 1973, and a full member of the Academy in 1983. He was elected to the Pontifical Academy of Sciences (1986), and the Russian Academy of Sciences (1988). He was elected Vice-President of the European Mathematical Society (1991-93). He has been awarded: the State Prize of Poland 1The most important results in Professor Czeslaw Olech's scientific work have been in the qualitative theory of differential equations and in control theory. Many of them have already become part of the standard theory. The range of his interests, however, is much wider. It includes a number of other branches of mathematics, and his works are classified by Mathematical Reviews as including, among others, the area of linear and multilinear algebra, measure and integration theory, calculus of variations, convex and discrete geometry, operations research and general systems theory. He obtained significant results for vector measures and their applications in the theory of differential equations and the theory of optimal control. He also solved very important problems concerning autonomous systems on the plane with stable Jacobian matrix at each point of the plane and applied the Ważewski topological method in studying the asymptotic behaviour of solutions of differential equations. In the case of Czeslaw Olech's results one should not ask for the number of citations(although some of them have an impressive number), because some of his results are already treated as being classic so do not require precise references.

^{st}Class (1976); The Commander's Cross of the Order of Polonia Restituta (1984); the Marin Drinov Gold Medal by the Bulgarian Academy of Sciences (1979); the Bernard Bolzano Gold Medal by the Czechoslovak Academy of Sciences (1981); the Stefan Banach Medal by the Polish Academy of Sciences (1992); and the Nicolaus Copernicus Medal by the Polish Academy of Sciences (2001). He received the Władysław Orlicz Medal from the University of Poznań after delivering the Orlicz Lecture there. He has received honorary degrees from Vilnius University (1989), the Jagiellonian University in Kraków (2006), and the University of Science and Technology in Kraków (2009). He was made an honorary member of the Union of Czech Mathematicians and Physicists.

**Article by:** *J J O'Connor* and *E F Robertson*

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**List of References** (7 books/articles)

**Mathematicians born in the same country**

**Additional Material in MacTutor**

- Olech's opening address to the International Congress in Warsaw
- Olech's closing address to the International Congress in Warsaw

**Cross-references in MacTutor**

**Other Web sites**