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.
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.
Gösta Mittag-Leffler, Une page de la vie de Weierstrass.
Henri Poincaré, Du rôle de l'intuition et de la logiqœe 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.
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 Etale 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 1958.
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.
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.
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.
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.
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.
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.
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
ZÜRICH 1994
BERLIN 1998
BEIJING 2002
MADRID 2006
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