International Congresses of Mathematicians


The series of International Congresses of Mathematicians began in Zürich in 1897 but no congress was held during World War I (1914-18) or World War II (1939-45). The main invited speakers at these Congresses have been those whose contributions to mathematics were held in particularly high esteem by the organisers of the Congress. Below we list the Congresses together with a list of the main invited speakers and the titles of their lectures to the Congress.
1897   1900   1904   1908   1912   1920   1924   1928   1932   1936   1950   1954   1958   1962   1966
1970   1974   1978   1983   1986   1990   1994   1998   2002   2006   2010   2014   2018   2022


ZÜRICH 1897

The Congress was held from 9 August to 11 August 1897.

Adolf Hurwitz, Über die Entwickelung der allgemeinen Theorie der analytischen Funktionen in neuerer Zeit.

Felix Klein, Zur Frage des höheren mathematischen Unterrichtes.

Giuseppe Peano, Logica matematica.

Henri Poincaré, Sur les rapports de I'analyse pure et de la physique mathématique.

PARIS 1900

The Congress was held from 6 August to 12 August 1900.

Moritz Cantor, L'historiographie des mathématiques.

D Hilbert, Sur les problèmes futurs des Mathématiques.

Gösta Mittag-Leffler, Une page de la vie de Weierstrass.

Henri Poincaré, Du rôle de l'intuition et de la logique en mathématiques.

Vito Volterra, Betti, Brioschi, Casorati - Trois analystes italiens et trois manières d'envisager les questions d'analyse.

HEIDELBERG 1904

The Congress was held from 8 August to 13 August 1904.

Alfred George Greenhill, The Mathematical Theory of the Top Considered Historically.

Paul Painlevé, Le problème moderne de l'intégration des équations différentielles.

Corrado Segre, La geometria d'oggidi e i suoi legami coll'analisi.

Wilhelm Wirtinger, Riemanns Vorlesungen über die hypergeometrische Reihe und ihre Bedeutung.

ROME 1908

The Congress was held from 6 April to 11 April 1908.

Gaston Darboux, Les origines, les méthodes et les problèmes de la géométrie infinitésimale.

Walther von Dyck, Die Encyklopädie der mathematischen Wissenschaften.

Andrew Russell Forsyth, On the Present Condition of Partial Differential Equations of the Second Order as Regards Formal Integration.

Hendrik Antoon Lorentz, Le partage de l'énergie entre la matière pondérable et l'éther.

Gösta Mittag-Leffler, Sur la représentation arithmétique des fonctions analytiques générales d'une variable complexe.

Simon Newcomb, La théorie du mouvement de la lune: son histoire et son état actuel.

Émile Picard, La mathématique dans ses rapports avec la physique.

Henri Poincaré, L'avenir des mathématiques.

Giuseppe Veronese, La geometria non-archimedea.

Vito Volterra, Le matematiche in Italia nella seconda metà del secolo XIX.

CAMBRIDGE, UK 1912

The Congress was held from 22 August to 28 August 1912.

Maxime Bôcher, Boundary Problems in One Dimension.

Émile Borel, Définition et domaine d'existence des fonctions monogènes uniformes.

Ernest William Brown, Periodicities in the Solar System.

Federigo Enriques, Il significato della critica dei principii nello sviluppo delle matematiche.

Prince B Galitzen, The Principles of Instrumental Seismology.

Edmund Landau, Gelöste und ungelöste Probleme aus der Theorie der Primzahlverteilung und der Riemannschen Zetafunktion.

Joseph Larmor, On the Dynamics of Radiation.

Henry Seely White, The Place of Mathematics in Engineering Practice.

STRASBOURG 1920

The Congress was held from 22 September to 30 September 1920.

Leonard Eugene Dickson, Some Relations between the Theory of Numbers and Other Branches of Mathematics.

Joseph Larmor, Questions in Physical Interdetermination.

Niels Erik Nörlund, Sur les équations aux différences finies.

Charles de la Vallée Poussin, Sur les fonctions à variation bornée et les questions qui s'y rattachent.

Vito Volterra, Sur l'enseignement de la physique mathématique et de quelques points d'analyse.

TORONTO 1924

The Congress was held from 11 August to 16 August 1924.

Élie Cartan, La théorie des groupes et les recherches récentes de géométrie différentielle.

Leonard Eugene Dickson, Outline of the Theory to Date of the Arithmetics of Algebras.

Jean Marie Le Roux, Considérations sur une équation aux dérivées partielles de la physique mathématique.

James Pierpont, Non-Euclidean Geometry from Non-Projective Standpoint.

Salvatore Pincherle, Sulle operazioni funzionali lineari.

Francesco Severi, La géométrie algébrique.

Carl Stormer, Modern Norwegian Researches on the Aurora Borealis.

William Henry Young, Some Characteristic Features of Twentieth Century Pure Mathematical Research.

BOLOGNA 1928

The Congress was held from 3 September to 10 September 1928.

Luigi Amoroso, Le equazioni differenziali della dinamica economica.

George David Birkhoff, Quelques éléments mathématiques de I'art.

Émile Borel, Le calcul des probabilités et les sciences exactes.

Guido Castelnuovo, La geometria algebrica e la scuola italiana.

Maurice Fréchet, L'analyse générale et les espaces abstraits.

Jacques Hadamard, Le développement et le rôle scientifique du calcul fonctionnel.

David Hilbert, Probleme der Grundlegung der Mathematik.

Theodore von Kármán, Mathematische Probleme der modernen Aerodynamik.

Nikolai Nikolaevich Luzin, Sur les voies de le théorie des ensembles.

Roberto Marcolongo, Leonardo da Vinci nella storia della matematica e della meccanica.

Umberto Puppini, Le bonifiche in Italia.

Leonida Tonelli, Il contributo italiano alla teoria delle funzioni di variabili reali.

Oswald Veblen, Differential Invariants and Geometry.

Vito Volterra, La teoria dei funzionali applicata ai fenomeni ereditari.

Hermann Weyl, Kontinuierliche Gruppen und ihre Darstellungen durch lineare Transformationen.

William Henry Young, The Mathematical Method and Its Limitations.

ZÜRICH 1932

The Congress was held from 5 September to 12 September 1932.

James Waddell Alexander, Some Problems in Topology.

Sergi Bernstein, Sur les liaisons entre quantités aléatoires.

Ludwig Bieberbach, Operationsbereiche von Funktionen.

Harald Bohr, Fastperiodische Funktionen einer komplexen Veränderlichen.

Constantin Carathéodory, Über die analytischen Abbildungen durch Funktionen mehrerer Veränderlicher.

Torsten Carleman, Sur la théorie des équations intégrales linéaires et ses applications.

Élie Cartan, Sur les espaces riemanniens symétriques.

Rudolf Fueter, Idealtheorie und Funktionentheorie.

Gaston Julia, Essai sur le développement de la théorie des fonctions de variables complexes.

Karl Menger, Neuere Methoden und Probleme der Geometrie.

Marston Morse, The Calculus of Variations in the Large.

Rolf Nevanlinna, Über die Riemannsche Fläche einer analytischen Funktion.

Emmy Noether, Hyperkomplexe Systeme in ihren Beziehungen zur kommutativen Algebra und zur Zahlentheorie.

Wolfgang Pauli, Mathematische Methoden der Quantenmechanik.

Frédéric Riesz, Sur l'existence de la dérivée des fonctions d'une variable réelle et des fonctions d'intervalle.

Francesco Severi, La théorie générale des fonctions analytiques de plusieurs variables et la géométrie algébrique.

Waclaw Sierpinski, Sur les ensembles de points qu'on sait définir effectivement.

Julius Stenzel, Anschauung und Denken in der klassischen Theorie der griechischen Mathematik.

Nikolai Grigorievich Chebotaryov, Die Aufgaben der modernen Galoisschen Theorie.

Georges Valiron, Le théorème de Borel-Julia dans la théorie des fonctions méromorphes.

Rolin Wavre, L'aspect analytique du problème des figures planétaires.

OSLO 1936

The Congress was held from 13 July to 18 July 1936.

Lars Valerian Ahlfors, Geometrie der Riemannschen Flächen.

Stefan Banach, Die Theorie der Operationen und ihre Bedeutung für die Analysis.

George David Birkhoff, On the Foundations of Quantum Mechanics.

Vilhelm Bjerknes, New Lines in Hydrodynamics.

Élie Cartan, Quelques apergus sur le rôle de la théorie des groupes de Sophus Lie dans le développement de la géométrie moderne.

Johannes Gaultherus van der Corput, Diophantische Approximationen.

Maurice Fréchet, Mélanges mathématiques.

Rudolf Fueter, Die Theorie der regulären Funktionen einer Quaternionenvariablen.

Helmut Hasse, Über die Riemannsche Vermutung in Funktionenkörpern.

Erich Hecke, Neuere Fortschritte in der Theorie der elliptischen Modulfunktionen.

Louis Joel Mordell, Minkowski's Theorems and Hypotheses on Linear Forms.

Otto Neugebauer, Über vorgriechische Mathematik und ihre Stellung zur griechischen.

Jakob Nielsen, Topologie der Flächenabbildungen.

Oystein Ore, The Decomposition Theorems of Algebra.

Carl Wilhelm Oseen, Probleme der geometrischen Optik.

Carl Ludwig Siegel, Analytische Theorie der quadratischen Formen.

Carl Stormer, Programme for the Quantitative Discussion of Electron Orbits in the Field of a Magnetic Dipole, with Application to Cosmic Rays and Kindred Phenomena.

Oswald Veblen, Spinors and Projective Geometry.

Norbert Wiener, Gap Theorems.

CAMBRIDGE, USA 1950

The Congress was held from 30 August to 6 September 1950.

Abraham Adrian Albert, Power-Associative Algebras.

Arne Beurling, On Null-Sets in Harmonic Analysis and Function Theory.

Salomon Bochner, Laplace Operator on Manifolds.

Henri Cartan, Problémes globaux dans la théorie des fonctions analytiques de plusieurs variables complexes.

Shiing-shen Chern, Differential Geometry of Fiber Bundles.

Harold Davenport, Recent Progress in the Geometry of Numbers.

Kurt Gödel, Rotating Universes in General Relativity Theory.

William Vallance Douglas Hodge, The Topological Invariants of Algebraic Varieties.

Heinz Hopf, Die n-dimensionalen Sphären und projektiven Räume in der Topologie.

Witold Hurewicz, Homology and Homotopy.

Shizuo Kakutani, Ergodic Theory.

Marston Morse, Recent Advances in Variational Theory in the Large.

John von Neumann, Shock Interaction and Its Mathematical Aspects.

Joseph Fels Ritt, Differential Groups.

Adolfe Rome, The Calculation of an Eclipse of the Sun According to Theon of Alexandria.

Laurent Schwartz, Théorie des Noyaux.

Abraham Wald, Basic Ideas of a General Theory of Statistical Decision Rules.

André Weil, Number Theory and Algebraic Geometry.

Hassler Whitney, r-Dimensional Integration in n-Space.

Norbert Wiener, Comprehensive View of Prediction Theory.

Raymond Louis Wilder, The Cultural Basis of Mathematics.

Oscar Zariski, The Fundamental Ideas of Abstract Algebraic Geometry.

AMSTERDAM 1954

The Congress was held from 2 September to 9 September 1954.

Pavel Sergeevich Aleksandrov, Aus der mengentheoretischen Topologie der letzten zwanzig Jahren. (Russian)

Karol Borsuk, Sur l'élimination de phénomènes paradoxaux en topologie générale.

Richard Brauer, On the Structure of Groups of Finite Order.

David van Dantzig, Mathematical Problems Raised by the Flood Disaster 1953.

Jean Dieudonné, Le calcul différentiel dans les corps de caractéristique p > 0.

Israil Moiseevic Gelfand, Some Aspects of Functional Analysis and Algebra.

Sydney Goldstein, On Some Methods of Approximation in Fluid Mechanics.

Harish-Chandra, Representations of Semisimple Lie Groups.

Borge Jessen, Some Aspects of the Theory of Almost Periodic Functions.

Andrey Nikolaevich Kolmogorov, Théorie générale des systèmes dynamiques et mécanique classique. (Russian)

André Lichnerovicz, Les groupes d'holonomie et leurs applications.

John von Neumann, On Unsolved Problems in Mathematics.

Jerzy Neyman, Current Problems of Mathematical Statistics.

Sergei Mikhailovich Nikolskii, Einige Fragen der Approximation von Funktionen durch Polynome. (Russian)

Beniamino Segre, Geometry upon an Algebraic Variety.

Edward Ludwig Stiefel, Recent Developments in Relaxation Techniques.

Alfred Tarski, Mathematics and Metamathematics.

Edward Charles Titchmarsh, Eigenfunction Problems Arising from Differential Equations.

André Weil, Abstract versus Classical Algebraic Geometry.

Kosaku Yosida, Semigroup Theory and the Integration Problem of Diffusion Equations.

EDINBURGH 1958

The Congress was held from 14 August to 21 August 1958.

Aleksandr Danilovic Aleksandrov, Modern Development of Surface Theory.

Nikolay Nikolaevich Bogolyubov and V S Vladimirov, On Some Mathematical Problems of Quantum Field Theory.

Henri Cartan, Sur les fonctions de plusieurs variables complexes: les espaces analytiques.

Claude Chevalley, La théorie des groupes algébriques.

Samuel Eilenberg, Applications of Homological Algebra in Topology.

William Feller, Some New Connections between Probability and Classical Analysis.

Lars Garding, Some Trends and Problems in Linear Partial Differential Equations.

Alexander Grothendieck, The Cohomology Theory of Abstract Algebraic Varieties.

Friedrich Hirzebruch, Komplexe Mannigfaltigkeiten.

Stephen Cole Kleene, Mathematical Logic: Constructive and Non-Constructive Operations.

Cornelius Lanczos, Extended Boundary Value Problems.

Lev Semenovich Pontryagin, Optimal Processes of Regulation. (Russian)

Klaus Friedrich Roth, Rational Approximations to Algebraic Numbers.

Menahem Max Schiffer, Extremum Problems and Variational Methods in Conformal Mapping.

Norman Earl Steenrod, Cohomology Operations and Symmetric Products.

George Temple, Linearization and Delinearization.

René Thom, Des variétés triangulées aux variétés différentiables.

George Eugene Uhlenbeck, Some Fundamental Problems in Statistical Physics.

Helmut W Wielandt, Entwicklungslinien in der Strukturtheorie der endlichen Gruppen.

STOCKHOLM 1962

The Congress was held from 15 August to 22 August 1962.

Lars Valerian Ahlfors, Teichmüller Spaces.

Maurice Auslander, Modules over unramified regular local rings.

Armand Borel, Arithmetic Properties of Linear Algebraic Groups.

Alonzo Church, Logic, Arithmetic, and Automata.

Eugene Borisovich Dynkin, Markov Processes and Problems in Analysis. (Russian)

Beno Eckmann, Homotopy and Cohomology Theory.

Israil Moiseevic Gelfand, Automorphic Functions and the Theory of Representations. (Russian)

Hans Grauert, Die Bedeutung des Levischen Problems fiir die analytische and algebraische Geometrie.

Peter Henrici, Problems of Stability and Error Propagation in the Numerical Integration of Ordinary Differential Equations.

Jean-Pierre Kahane, Transformées de Fourier des fonctions sommables.

John Willard Milnor, Topological Manifolds and Smooth Manifolds.

Maxwell Herman Alexander Newman, Geometrical Topology.

Louis Nirenberg, Some Aspects of Linear and Nonlinear Partial Differential Equations.

Igor Rostislavovic Shafarevich, Algebraic Number Fields. (Russian)

Atle Selberg, Discontinuous Groups and Harmonic Analysis.

Jean-Pierre Serre, Géométrie algébrique.

Jacques Tits, Groupes simples et géométries associées.

MOSCOW 1966

The Congress was held from 16 August to 26 August 1966.

John Frank Adams, A Survey of Homotopy Theory.

Michael Artin, The Étale Topology of Schemes.

Michael Francis Atiyah, Global Aspects of the Theory of Elliptic Differential Operators.

Richard Bellman, Dynamic Programming and Modern Control Theory.

Lennart Carleson, Convergence and Summability of Fourier Series.

Nikolai Vladimirovich Efimov, Hyperbolic Problems in the Theory of Surfaces. (Russian)

Harish-Chandra, Harmonic Analysis on Semisimple Lie Groups.

Mark Grigorievich Krein, Analytic Problems and Results in the Theory of Linear Operators in Hilbert Space. (Russian)

Bernard Malgrange, Théorie Locale des Fonctions Différentiables.

Anatoly Ivanovich Malcev, On Some Questions on the Border of Algebra and Logic. (Russian)

Ilya I Piatetski-Shapiro, Automorphic Functions and Arithmetic Groups. (Russian)

Johann Schröder, Ungleichungen und Fehlerabschätzungen.

Kurt Schütte, Neuere Ergebnisse der Beweistheorie.

Stephen Smale, Differentiable Dynamical Systems.

Charles M Stein, Some Recent Developments in Mathematical Statistics.

John Griggs Thompson, Characterizations of Finite Simple Groups.

Ivan Matveevich Vinogradov and A G Postnikov, Recent Developments in Analytic Number Theory. (Russian)

NICE 1970

The Congress was held from 1 September to 10 September 1970.

Alan Baker, Effective Methods in the Theory of Numbers.

Raoul Bott, On Topological Obstructions to Integrability.

William Browder, Manifolds and Homotopy Theory.

Shiing-shen Chern, Differential Geometry: Its Past and Its Future.

Walter Feit, The Current Situation in the Theory of Finite Simple Groups.

Israil Moiseevic Gelfand, The Cohomology of Infinite Dimensional Lie Algebras; Some Questions of Integral Geometry.

Phillip Augustus Griffiths, A Transcendental Method in Algebraic Geometry.

Donald Higman, The theory of rank-3 groups

Lars Hörmander, Linear Differential Operators.

Tosio Kato, Scattering Theory and Perturbation of Continuous Spectra.

Howard Jerome Keisler, Model Theory.

Guri Ivanovich Marchük, Methods and Problems of Computational Mathematics.

Lev Semenovich Pontryagin, Les Jeux différentiels linéaires.

Elias M Stein, Some Problems in Harmonic Analysis Suggested by Symmetric Spaces and Semi-Simple Groups.

Richard Gordon Swan, Algebraic K-Theory.

John Tate, Symbols in Arithmetic.

Charles Terence Clegg Wall, Geometric Topology: Manifolds and Structures.

VANCOUVER 1974

The Congress was held from 21 August to 29 August 1974.

Vladimir Igorevich Arnold, Critical Points of Smooth Functions.

Heinz Bauer, Aspects of Modern Potential Theory.

Enrico Bombieri, Variational Problems and Elliptic Equations.

Rufus Bowen, Symbolic dynamics for hyperbolic flows.

Gerard Debreu, Four Aspects of the Mathematical Theory of Economic Equilibrium.

Pierre Deligne, Poids dans la cohomologie des variétés algébriques.

George F D Duff, Mathematical Problems of Tidal Energy.

Charles Louis Fefferman, Recent Progress in Classical Fourier Analysis.

James Glimm, Analysis over Infinite-Dimensional Spaces and, Applications to Quantum Field Theory.

Heinz-Otto Kreiss, Initial Boundary Value Problems for Hyperbolic Partial Differential Equations.

Jacques-Louis Lions, Sur la théorie du controle.

Eric C Milner, Transversal Theory.

Daniel Quillen, Higher Algebraic K-Theory.

Wolfgang M Schmidt, Applications of Thue's Method in Various Branches of Number Theory.

Isadore Manual Singer, Eigenvalues of the Laplacian and Invariants of Manifolds.

Volker Strassen Some results in algebraic complexity theory

Dennis Sullivan, Inside and Outside Manifolds.

Jacques Tits, On Buildings and their Applications.

Anatolii Georgievich Vitushkin, Coding of Signals with Finite Spectrum and Sound Recording Problems.

HELSINKI 1978

The Congress was held from 15 August to 28 August 1978.

Lars Valerian Ahlfors, Quasiconformal Mappings, Teichmüller Spaces and Kleinian Groups.

Alberto Pedro Calderón, Commutators, Singular Integrals on Lipschitz Curves and Applications.

Alain Connes, Von Neumann Algebras.

Robert Duncan Edwards, The Topology of Manifolds and Cell-Like Maps.

Daniel Gorenstein, The Classification of Finite Simple Groups.

Masaki Kashiwara, Micro-Local-Analysis.

Alexander Aleksandrovich Kirillov, Infinite-dimensional groups, their representations, orbits, invariants

Robert Phelan Langlands, L-Functions and Automorphic Representations.

Yurii Ivanovich Manin, Modular Forms and Number Theory.

Sergei Petrovich Novikov, Linear Operators and Integrable Hamiltonian Systems.

Roger Penrose, The Complex Geometry of the Natural World.

Wilfried Schmid, Representations of Semisimple Lie Groups.

Albert Nikolayevich Shiryaev, Absolute Continuity and Singularity of Probability Measures in Functional Spaces.

William Paul Thurston, Geometry and Topology in Dimension Three.

André Weil, History of Mathematics: Why and How.

Shing-Tung Yau, The Role of Partial Differential Equations in Differential Geometry.

WARSAW 1983

The Congress was held from 16 August to 24 August 1983.

Vladimir Igorevich Arnold, Singularities of Ray Systems.

Paul Erdös, Extremal Problems in Number Theory, Combinatorics, and Geometry.

Wendell Helms Fleming, Optimal Control of Markov Processes.

Christopher Hooley, Some Recent Advances in Analytical Number Theory.

Wu-chung Hsiang, Geometric Applications of Algebraic K-Theory.

Peter David Lax, Problems Solved and Unsolved Concerning Linear and Non-Linear Partial Differential Equations.

Victor P Maslov, Non-Standard Characteristics in Asymptotical Problems.

Barry Mazur, Modular Curves and Arithmetic.

Robert Duncan MacPherson, Global Questions in the Topology of Singular Spaces.

Aleksander Pelczynski, Structural Theory of Branch Spaces and Its Interplay with Analysis and Probability.

Gilles Pisier, Finite rank projections on Banach spaces and a conjecture of Grothendieck

David Ruelle, Turbulent Dynamical Systems.

Mikio Sato, Monodromy Theory and Holonomic Quantum Fields - a New Link between Mathematics and Theoretical Physics.

Yum-Tong Siu, Some Recent Developments in Complex Differential Geometry.

BERKELEY 1986

The Congress was held from 3 August to 11 August 1986.

Maurice Auslander, The what, why and where of almost split sequences.

Louis de Branges, Underlying Concepts in the Proof of the Bieberbach Conjecture.

Simon Kirwan Donaldson, Geometry of Four Dimensional Manifolds.

Gerd Faltings, Recent Progress in Arithmetic Algebraic Geometry.

Frederick William Gehring, Quasiconformal Mappings.

Mikhael Gromov, Soft and Hard Symplectic Geometry.

Hendrik Willem Lenstra, Efficient Algorithms in Number Theory.

Richard Melvin Schoen, New Developments in the Theory of Geometric Partial Differential Equations.

Arnold Schönhage, Equation Solving in Terms of Computational Complexity.

Saharon Shelah, Classifying General Classes.

Anatolii Vladimirovich Skorohod, Random Processes in Infinite Dimensional Spaces.

Stephen Smale, Complexity Aspects of Numerical Analysis.

Elias M Stein, Problems in Harmonic Analysis Related to Oscillatory Integrals and Curvature.

Andrei A Suslin, Algebraic K-Theory of Fields.

David Alexander Vogan, Jr. Representations of Reductive Lie Groups.

Edward Witten, String Theory and Geometry.

KYOTO 1990

The Congress was held from 21 August to 29 August 1990.

Spencer Bloch, Algebraic K-Theory, Motives, and Algebraic Cycles.

Stephen Arthur Cook, Computational Complexity of Higher Type Functions.

Boris L Feigin, Conformal Field Theory and Cohomologies of the Lie Algebra of Holomorphic Vector Fields on a Complex Curve.

Andreas Floer, Elliptic Methods in Variational Problems.

Yasutaka Ihara, Braids, Galois Groups, and Some Arithmetic Functions.

Vaughan Frederick Randal Jones, Von Neumann Algebras in Mathematics and Physics.

László Lovász, Geometric Algorithms and Algorithmic Geometry.

George Lusztig, Intersection Cohomology Methods in Representation Theory.

Andrew Joseph Majda, The Interaction on Non-Linear Analysis and Modern Applied Mathematics.

Gregori Aleksandrovich Margulis, Dynamical and Ergodic Properties of Subgroup Actions on Homogeneous Spaces with Applications to Number Theory.

Richard Burt Melrose, Pseudodifferential Operators, Corners and Singular Limits.

Shigefumi Mori, Birational Classification of Algebraic Threefolds.

Yakov Grigorevich Sinai, Hyperbolic Billiards.

Karen Uhlenbeck, Applications of Non-Linear Analysis in Topology.

Alexandre Varchenko, Multidimensional Hypergeometric Functions in Conformal Field Theory, Algebraic K-Theory, Algebraic Geometry.

ZÜRICH 1994

The Congress was held from 3 August to 11 August 1994.

László Babai, Transparent Proofs and Limits to Approximation.

Andrei Andreevich Bolibrukh The Riemann-Hilbert problem and Fuchsian differential equations on the Riemann sphere.

Jean Bourgain, Harmonic Analysis and Nonlinear Partial Differential Equations.

John Horton Conway, Sphere Packings, Lattices, Codes, and Greed.

Ingrid Daubechies, Wavelets and Other Phase Localization Methods.

Jürg Fröhlich, The Fractional Quantum Hall Effect, ChernSimons Theory and Integral Lattices.

Joseph Bishop Keller, Wave Propagation.

Maxim Kontsevich, Homological Algebra of Mirror Symmetry.

Pierre-Louis Lions, On Some Recent Methods for Nonlinear Partial Differential Equations.

Bernadette Perrin-Riou, p-adic L-functions.

Marina Ratner, Interactions between Ergodic Theory, Lie Groups and Number Theory.

Paul Seymour, Progress on the Four-Colour Theorem.

Clifford Henry Taubes, Anti-self Dual Geometry.

Sathamangalam Ranga Srinivasa Varadhan, Entropy Methods in Hydrodynamic Scaling.

Victor Anatolyevich Vassiliev, Topology of Discriminants and Their Complements.

Dan Voiculescu, Free Probability Theory: Random Matrices and von Neumann Algebras.

Andrew Wiles, Modular Forms, Elliptic Curves and Fermat's Last Theorem.

Jean-Christophe Yoccoz, Recent Developments in Dynamics.

BERLIN 1998

The Congress was held from 18 August to 27 August 1998.

Jean-Michel Bismut, Local Index Theory and Higher Analytic Torsion.

Christopher Deninger, Some Analogies Between Number Theory and Dynamical Systems on Foliated Spaces.

Persi Diaconis, From Shuffling Cards to Walking Around the Building: An Introduction to Modern Markov Chain Theory.

Giovanni Gallavotti, Chaotic Hypothesis and Universal Large Deviations Properties.

Wolfgang Hackbusch, From Classical Numerical Mathematics to Scientific Computing.

Helmut Hermann W Hofer, Dynamics, Topology, and Holomorphic Curves.

Ehud Hrushovski, Geometric Model Theory.

Ian Grant Macdonald, Constant Term Identities, Orthogonal Polynomials, and Affine Hecke Algebras.

Stéphane Mallat, Applied Mathematics Meets Signal Processing.

Dusa McDuff, Fibrations in Symplectic Topology.

Tetsuji Miwa, Solvable Lattice Models and Representation Theory of Quantum Affine Algebras.

Jürgen Moser, Dynamical Systems Past and Present.

George Papanicolaou, Mathematical Problems in Geophysical Wave Propagation.

Gilles Pisier, Operator Spaces and Similarity Problems.

Peter Sarnak, L-Functions.

Peter Williston Shor, Quantum Computing.

Karl Sigmund, The Population Dynamics of Conflict and Cooperation.

Michel Talagrand, Huge Random Structures and Mean Field Models for Spin Glasses.

Cumrun Vafa, Geometric Physics.

Marcelo Viana, Dynamics: A Probabilistic and Geometric Perspective.

Vladimir Voevodsky, A'-Homotopy Theory.

BEIJING 2002

The Congress was held from 20 August to 28 August 2002.

Noga Alon, Discrete Mathematics: Methods and Challenges.

Douglas Norman Arnold, Differential Complexes and Numerical Stability.

Alberto Bressan, Hyperbolic Systems of Conservation Laws in One Space Dimension.

Luis Caffarelli, Nonlinear Elliptic Theory and the Monge-Ampere Equation.

Sun-Yung Alice Chang and Paul Chien-Ping Yang, Non-linear Partial Differential Equations in Conformal Geometry.

David Leigh Donoho, Emerging Applications of Geometric Multiscale Analysis.

Ludwig Faddeev, Knotted Solitons.

Shafi Goldwasser, Mathematical Foundations of Modern Cryptography: Computational Complexity Perspective.

Uffe Haagerup, Random Matrices, Free Probability and the Invariant Subspace Problem Relative to a von Neumann Algebra.

Michael Jerome Hopkins, Algebraic Topology and Modular Forms.

Victor Kac, Classification of Supersymmetries.

Harry Kesten, Some Highlights of Percolation.

Frances Kirwan, Cohomology of Moduli Spaces.

2002 Laurent Lafforgue, Chtoucas de Drinfeld, Formule des Traces d'Arthur-Selberg et Correspondance de Langlands.

David Mumford, Pattern Theory: The Mathematics of Perception.

Hiraku Nakajima, Geometric Construction of Representations of Affine Algebras.

Yum-Tong Siu, Some Recent Transcendental Techniques in Algebraic and Complex Geometry.

Richard Taylor, Galois Representations.

Gang Tian, Geometry and Nonlinear Analysis.

Edward Witten, Singularities in String Theory.

MADRID 2006

The Congress was held from 22 August to 30 August 2006.

Percy Deift, Universality for Mathematical and Physical Systems.

Jean-Pierre Demailly, Kähler Manifolds and Transcendental Techniques in Algebraic Geometry.

Ronald Alvin DeVore, Optimal Computation.

Yakov Eliashberg, Symplectic Field Theory and Its Applications.

Étienne Ghys, Knots and Dynamics.

Richard Hamilton, The Poincaré Conjecture.

Henryk lwaniec, Prime Numbers and L-functions.

lain Murray Johnstone, High Dimensional Statistical Inference and Random Matrices.

Kazuya Kato, Iwasawa Theory and Generalizations.

Robert Vita Kohn, Energy-Driven Pattern Formation.

lb Madsen, Moduli Spaces from a Topological Viewpoint.

Arkadi Nemirovski, Advances in Convex Optimization: Conic Programming.

Sorin Popa, Deformation and Rigidity for Group Actions and von Neumann Algebras.

Alfio Quarteroni, Cardiovascular Mathematics.

Oded Schramm, Conformally Invariant Scaling Limits: An Overview and a Collection of Problems.

Richard Peter Stanley, Increasing and Decreasing Subsequences and Their Variants.

Terence Tao, The Dichotomy between Structure and Randomness, Arithmetic Progressions, and the Primes.

Juan Luis Vázquez, Perspectives in Nonlinear Diffusion: Between Analysis, Physics, and Geometry.

Michèle Vergne, Applications of Equivariant Cohomology.

Avi Wigderson, P, NP, and Mathematics: A Computational Complexity Perspective.

HYDERABAD 2010

The Congress was held from 19 August to 27 August 2010.

David Aldous, Exchangeability and Continuum Limits of Discrete Random Structures

Artur Avila, Dynamics of Renormalization Operators

R. Balasubramanian, Highly Composite

Ngô Bao Châu, Endoscopy Theory of Automorphic Forms

Jean-Michel Coron, On the Controllability of Nonlinear Partial Differential Equations

Irit Dinur, Probabilistically Checkable Proofs and Codes

Hillel Furstenberg, Ergodic Structures and Non-Conventional Ergodic Theorems

Thomas J.R. Hughes, Isogeometric Analysis

Peter Jones, Eigenfunctions and Coordinate Systems on Manifolds

Carlos Kenig, The Global Behavior of Solutions to Critical Non-linear Dispersive Equations

Stanley Osher, New Algorithms in Image Science

R. Parimala, Arithmetic of Linear Algebraic Groups over Two-dimensional Fields

A. N. Parshin, Representations of Higher Adelic Groups and Arithmetics

Shige Peng, Backward Stochastic Differential Equations, Nonlinear Expectations and Their Applications

Kim Plofker, "Indian" Rules, "Yavana" Rules: Foreign Identity and the Transmission of Mathematics

Nicolai Reshetikhin, On Mathematical Problems in Quantum Field Theory

Richard Schoen, Riemannian Manifolds of Positive Curvature

Cliff Taubes

Claire Voisin, On the Cohomology of Algebraic Varieties

Hugh Woodin, Strong Axioms of Infinity and the Search for V
SEOUL 2014

The Congress was held from 13 August to 21 August 2014.

Ian Agol, Virtual properties of 3-manifolds

Jun-Muk Hwang, Mori geometry meets Cartan geometry: Varieties of minimal rational tangents

Emmanuel Candes, Mathematics of sparsity (and a few other things)

James ArthurL-functions and automorphic representations

Demetrios Christodoulou, Hyperbolic P.D.E. and Lorentzian Geometry

János Kollár, The structure of algebraic varieties

Franco Brezzi, IUSS, The great beauty of VEM's

Manjul Bhargava, Rational points on elliptic and hyperelliptic curves

Alexei Borodin, Integrable probability

Jean-François Le Gall, Random geometry on the sphere

Fernando Codá Marques, Minimal surfaces - variational theory and applications

Mikhail Lyubich, Analytic Low-Dimensional Dynamics: from dimension one to two

Ben Green, Approximate algebraic structure

Benoit Perthame, Some mathematical aspects of tumour growth and therapy

Alan Frieze, Random Structures and Algorithms

Takuro Mochizuki, Wild harmonic bundles and twistor D-modules

Frank Merle, Asymptotics for critical nonlinear dispersive equations

Jonathan Pila, O-minimality and Diophantine geometry

Vojtech Rödl, Quasi-randomness and the regularity method in hypergraphs

Vera Serganova, Finite dimensional representations of algebraic supergroups 

RIO DE JANIERO 2018

The Congress was held from 1 August to 9 August 2018.

Simon Donaldson, Some recent developments in Kähler geometry and exceptional holonomy

Sylvia Serfaty, Systems of points with Coulomb interactions

Rahul Pandharipande, Geometry of the moduli space of curves

Andrei Okounkov, On the crossroads of enumerative geometry and geometric representation theory

Gregory Lawler, Conformally Invariant Measures on Paths and Loops

Carlos Gustavo Moreira, Dynamical systems, fractal geometry and diophantine approximations

Luigi Ambrosio, Calculus, heat flow and curvature-dimension bounds in metric measure spaces

Lai-Sang Young, Dynamical systems evolving

Peter Scholze, Period maps in p-adic geometry

Ronald Coifman, Harmonic analytic geometry on subsets in high dimensions – Empirical models

Peter Kronheimer and Tomasz Mrowka, Knots, three-manifolds and instantons

Catherine Goldstein, Long-term history and ephemeral configurations

Alexander Lubotzky, High dimensional expanders

Nalini Anantharaman, Delocalization of Schrödinger eigenfunctions

Sanjeev Arora, The mathematics of machine learning and deep learning

Assaf Naor, Metric dimension reduction: A snapshot of the Ribe program

Geordie Williamson, Representation theory and geometry

Christian Lubich, Dynamics, numerical analysis and some geometry

Gil Kalai, Noise Stability, Noise Sensitivity and the Quantum Computer Puzzle

Michael Jordan, Dynamical, symplectic and stochastic perspectives on gradient-based optimization

Vincent Lafforgue, Global Langlands parameterization and shtukas for reductive groups

VIRTUAL CONFERENCE 2022

The Congress was held from 6 July to 14 July 2022.

David Kazhdan, On the Langlands correspondence for curves over local fields

Marie-France Vignéras, Emmy Noether Lecture: Modular representations of p-adic groups

Frank Calegari, 30 years of modularity: number theory since the proof of Fermat's Last Theorem

Alexander Kuznetsov, Homological algebraic geometry

Michel van den Bergh, Noncommutative crepant resolutions

E Weinan, A Mathematical Perspective on Machine Learning

Kevin Buzzard, The rise of formalism in mathematics

Laure Saint-Raymond, Dynamics of dilute gases: a statistical approach

Scott Sheffield, What is a random surface?

Frans Pretorius, A Survey of Gravitational Waves

Mladen Bestvina, Groups acting on hyperbolic spaces - a survey

Christine Proust, Studying ancient mathematics, or how to make sense of a constellation of tiny details

Sonja Brentjes, On the sociocultural contexts of the mathematical sciences in Islamicate societies

Tobias Holck Colding, Geometry of PDEs

Igor Krichever, Algebraic-geometrical methods in the theory of integrable systems and Riemann-Schottky type problems

Bhargav Bhatt, Algebraic geometry in mixed characteristic

Alice Guionnet, Random Matrices, Free Probability and the Enumeration of Maps

Camillo DeLellis, Regular and singular minimal surfaces

Kannan Soundararajan, The Distribution of Values of Zeta And L-Functions

Brigitte Stenhouse, Learning by letters - the mathematical education of Mary Somerville (1780-1872)

François Lê, "Are the genre and the Geschlecht one and the same number?" An inquiry into Alfred Clebsch's Geschlecht

Catharina Stroppel, The beauty of braids - from knot invariants to higher categories

Avi Wigderson, Symmetries, Computation and Math (or, can P ≠ NP be proved via gradient descent?)

Craig B. Gentry, Homomorphic Encryption

Umesh Vazirani, On the complexity of quantum many body systems

Larry Guth, Decoupling estimates in Fourier analysis

Svetlana Jitomirskaya, Small denominators and multiplicative Jensen's formula