Lista de palestrantes plenários do Congresso Internacional de Matemáticos

A lista de palestrantes plenários do Congresso Internacional de Matemáticos os palestrantes plenários do Congresso Internacional de Matemáticos.

Para as palestras em língua russa o título da palestra é dado de acordo com a tradução nos volumes dos congressos.

1897 Zurique

Henri Poincaré: Sur les rapports de l’analyse pure et de la physique mathématique
Adolf Hurwitz: Über die Entwicklung der allgemeinen Theorie der analytischen Funktionen in neuerer Zeit
Giuseppe Peano: Logica matematica
Felix Klein: Zur Frage des höheren mathematischen Unterrichts

1900 Paris

Moritz Cantor: L’historiographie des mathématiques
David Hilbert: Mathematische Probleme (ver Problemas de Hilbert)
Magnus Gösta Mittag-Leffler: Une page de la vie de Weierstrass
Vito Volterra: Betti, Brioschi, Casorati - Trois analystes italiens et trois manières d’envisager les questions d’analyse

1904 Heidelberg

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

1908 Roma

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
Magnus 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

1912 Cambridge

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.
Boris Borisovich Golitsyn: 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.

1920 Estrasburgo

Leonard Eugene Dickson: Some Relations between the Theory of Numbers and Other Branches of Mathematics.
Joseph Larmor: Questions in Physical Interdetermination.
Niels Erik Nørlund: Sur les équations aux différences finies.
Charles-Jean 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.

1924 Toronto

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 Størmer: Modern Norwegian Researches on the Aurora Borealis
William Henry Young: Some Characteristic Features of Twentieth Century Pure Mathematical Research.

1928 Bolonha

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 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.

1932 Zurique

James Waddell Alexander: Some Problems in Topology.
Sergei Natanovich 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.
Frigyes 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 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.

1936 Oslo

Lars Ahlfors: Geometrie der Riemannschen Flächen (Ahlfors foi com Jesse Douglas um dos laureados com a primeira Medalha Fields no mesmo ano)
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 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 Mordell: Minkowski’s Theorems and Hypotheses on Linear Forms.
Otto Neugebauer: Über vorgriechische Mathematik und ihre Stellung zur griechischen.
Jakob Nielsen: Topologie der Flächenabbildungen.
Øystein Ore: The Decomposition Theorems of Algebra.
Carl Wilhelm Oseen: Probleme der geometrischen Optik.
Carl Ludwig Siegel: Analytische Theorie der quadratischen Formen.
Carl Størmer: 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.

1950 Cambridge

Abraham Adrian Albert: Power-Associative Algebras.
Arne Beurling: On Null-Sets in Harmonic Analysis and Function Theory.
Salomon Bochner: 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 Ritt: Differential Groups.
Adolphe Rome: The Calculation of an Eclipse of the Sun According to Theon of Alexandria.
Laurent Schwartz: Théorie des Noyaux (recebeu a Medalha Fields no mesmo ano)
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.

1954 Amsterdam

Pavel Alexandrov: Aus der mengentheoretischen Topologie der letzten zwanzig Jahren (em russo)
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.
Israel 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.
Børge Jessen: Some Aspects of the Theory of Almost Periodic Functions.
Andrei Kolmogorov: Théorie générale des systèmes dynamiques et mécanique classique (em russo, com resumo em francês)
André Lichnerowicz: Les groupes d’holonomie et leurs applications.
John von Neumann: On Unsolved Problems in Mathematics.
Jerzy Neyman: Current Problems of Mathematical Statistics.
Sergey Nikolsky: Einige Fragen der Approximation von Funktionen durch Polynome (em russo)
Beniamino Segre: Geometry upon an Algebraic Variety.
Eduard 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.
Kōsaku Yosida: Semigroup Theory and the Integration Problem of Diffusion Equations.

1958 Edimburgo

Aleksandr Danilovich Aleksandrov: Modern Development of Surface Theory.
Nikolai Bogoliubov, Vasily 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 Gårding: 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 Pontryagin: Optimal Processes of Regulation. (em russo)
Klaus Friedrich Roth: Rational Approximations to Algebraic Numbers (recebeu a Medalha Fields no mesmo ano)
Menahem Max Schiffer: Extremum Problems and Variational Methods in Conformal Mapping.
Norman Steenrod: Cohomology Operations and Symmetric Products.
George Temple: Linearization and Delinearization.
René Thom: Des variétés triangulées aux variétés différentiables (recebeu a Medalha Fields no mesmo ano)
George Uhlenbeck: Some Fundamental Problems in Statistical Physics.
Helmut Wielandt: Entwicklungslinien in der Strukturtheorie der endlichen Gruppen.

1962 Estocolmo

Lars Ahlfors: Teichmüller Spaces.
Armand Borel: Arithmetic Properties of Linear Algebraic Groups.
Alonzo Church: Logic, Arithmetic, and Automata.
Eugene Dynkin: Markov Processes and Problems in Analysis. (em russo)
Beno Eckmann: Homotopy and Cohomology Theory.
Israel Gelfand: Automorphic Functions and the Theory of Representations. (em russo)
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 Milnor: Topological Manifolds and Smooth Manifolds (recebeu a Medalha Fields no mesmo ano)
Max Newman: Geometrical Topology.
Louis Nirenberg: Some Aspects of Linear and Nonlinear Partial Differential Equations.
Igor Shafarevich: Algebraic Number Fields. (em russo)
Atle Selberg: Discontinuous Groups and Harmonic Analysis (recebeu a Medalha Fields de 1950)
Jean-Pierre Serre: Géométrie algébrique (recebeu a Medalha Fields de 1954)
Jacques Tits: Groupes simples et géométries associées.

1966 Moscou

Frank Adams: A Survey of Homotopy Theory.
Michael Artin: The Étale Topology of Schemes.
Michael Atiyah: Global Aspects of the Theory of Elliptic Differential Operators (recebeu a Medalha Fields no mesmo ano)
Richard Bellman: Dynamic Programming and Modern Control Theory.
Lennart Carleson: Convergence and Summability of Fourier Series.
Nikolai Efimov: Hyperbolic Problems in the Theory of Surfaces. (em russo)
Harish-Chandra: Harmonic Analysis on Semisimple Lie Groups.
Mark Krein: Analytic Problems and Results in the Theory of Linear Operators in Hilbert Space. (em russo)
Bernard Malgrange: Théorie Locale des Fonctions Différentiables.
Anatoly Maltsev: On Some Questions on the Border of Algebra and Logic. (em russo)
Ilja Pjatetskij-Shapiro: Automorphic Functions and Arithmetic Groups. (em russo)
Johann Schröder: Ungleichungen und Fehlerabschätzungen.
Kurt Schütte: Neuere Ergebnisse der Beweistheorie.
Stephen Smale: Differentiable Dynamical Systems (recebeu a Medalha Fields no mesmo ano)
Charles Stein: Some Recent Developments in Mathematical Statistics.
John Griggs Thompson: Characterizations of Finite Simple Groups (recebeu a Medalha Fields de 1970)
Ivan Vinogradov, Aleksei Postnikov: Recent Developments in Analytic Number Theory. (em russo)

1970 Nice

Alan Baker: Effective Methods in the Theory of Numbers (recebeu a Medalha Fields no mesmo ano)
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.
Israel Gelfand: The Cohomology of Infinite Dimensional Lie Algebras; Some Questions of Integral Geometry.
Phillip Griffiths: A Transcendental Method in Algebraic Geometry.
Lars Hörmander: Linear Differential Operators (recebeu a Medalha Fields de 1962)
Tosio Kato: Scattering Theory and Perturbation of Continuous Spectra.
Howard Jerome Keisler: Model Theory.
Gury Marchuk: Methods and Problems of Computational Mathematics.
Lev Pontryagin: Les Jeux différentiels linéaires.
Elias Stein: Some Problems in Harmonic Analysis Suggested by Symmetric Spaces and Semi-Simple Groups.
Richard Swan: Algebraic K-Theory.
John Tate: Symbols in Arithmetic.
Charles Wall: Geometric Topology: Manifolds and Structures.

1974 Vancouver

Vladimir Arnold: Critical Points of Smooth Functions.
Heinz Bauer: Aspects of Modern Potential Theory.
Enrico Bombieri: Variational Problems and Elliptic Equations (recebeu a Medalha Fields no mesmo ano)
Gérard Debreu: Four Aspects of the Mathematical Theory of Economic Equilibrium.
Pierre Deligne: Poids dans la cohomologie des variétés algébriques (recebeu a Medalha Fields de 1978)
George Duff: Mathematical Problems of Tidal Energy.
Charles Fefferman: Recent Progress in Classical Fourier Analysis (recebeu a Medalha Fields de 1978)
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 Charles Milner: Transversal Theory.
Daniel Quillen: Higher Algebraic K-Theory (recebeu a Medalha Fields de 1978)
Wolfgang Schmidt: Applications of Thue’s Method in Various Branches of Number Theory.
Isadore 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.
Anatoli Vitushkin: Coding of Signals with Finite Spectrum and Sound Recording Problems.

1978 Helsinque

Lars Ahlfors: Quasiconformal Mappings, Teichmüller Spaces and Kleinian Groups.
Alberto Calderón: Commutators, Singular Integrals on Lipschitz Curves and Applications.
Alain Connes: Von Neumann Algebras (recebeu a Medalha Fields de 1983)
Robert Duncan Edwards: The Topology of Manifolds and Cell-Like Maps.
Daniel Gorenstein: The Classification of Finite Simple Groups.
Masaki Kashiwara: Micro-Local-Analysis.
Alexandre Kirillov: Infinite-dimensional groups, their representations, orbits, invariants
Robert Langlands: L-Functions and Automorphic Representations.
Yuri Manin: Modular Forms and Number Theory.
Sergei Novikov: Linear Operators and Integrable Hamiltonian Systems (recebeu a Medalha Fields de 1970)
Roger Penrose: The Complex Geometry of the Natural World.
Wilfried Schmid: Representations of Semisimple Lie Groups.
Albert Shiryaev: Absolute Continuity and Singularity of Probability Measures in Functional Spaces.
William Thurston: Geometry and Topology in Dimension Three (recebeu a Medalha Fields de 1983)
André Weil: History of Mathematics: Why and How.
Shing-Tung Yau: The Role of Partial Differential Equations in Differential Geometry (recebeu a Medalha Fields de 1983)

1983 Varsóvia

Vladimir Arnold: Singularities of Ray Systems.
Paul Erdős: Extremal Problems in Number Theory, Combinatorics, and Geometry.
Wendell 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 Lax: Problems Solved and Unsolved Concerning Linear and Non-Linear Partial Differential Equations.
Victor Pavlovich Maslov: Non-Standard Characteristics in Asymptotical Problems.
Barry Mazur: Modular Curves and Arithmetic.
Robert MacPherson: Global Questions in the Topology of Singular Spaces.
Aleksander Pełczyński: 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 Satō: Monodromy Theory and Holonomic Quantum Fields – a New Link between Mathematics and Theoretical Physics.
Yum-Tong Siu: Some Recent Developments in Complex Differential Geometry.

1986 Berkeley

Louis de Branges de Bourcia: Underlying Concepts in the Proof of the Bieberbach Conjecture.
Simon Donaldson: Geometry of Four Dimensional Manifolds (recebeu a Medalha Fields no mesmo ano)
Gerd Faltings: Recent Progress in Arithmetic Algebraic Geometry (recebeu a Medalha Fields no mesmo ano)
Frederick Gehring: Quasiconformal Mappings.
Mikhael Gromov: Soft and Hard Symplectic Geometry.
Hendrik Willem Lenstra: Efficient Algorithms in Number Theory.
Richard 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.
Anatoliy Skorokhod: Random Processes in Infinite Dimensional Spaces.
Stephen Smale: Complexity Aspects of Numerical Analysis.
Elias Stein: Problems in Harmonic Analysis Related to Oscillatory Integrals and Curvature.
Andrei Suslin: Algebraic K-Theory of Fields.
David Vogan: Representations of Reductive Lie Groups.
Edward Witten: String Theory and Geometry.

1990 Quioto

Spencer Bloch: Algebraic K-Theory, Motives, and Algebraic Cycles.
Stephen Cook: Computational Complexity of Higher Type Functions.
Boris 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 Jones: Von Neumann Algebras in Mathematics and Physics (recebeu a Medalha Fields no mesmo ano)
László Lovász: Geometric Algorithms and Algorithmic Geometry.
George Lusztig: Intersection Cohomology Methods in Representation Theory.
Andrew Majda: The Interaction on Non-Linear Analysis and Modern Applied Mathematics.
Grigory Margulis: Dynamical and Ergodic Properties of Subgroup Actions on Homogeneous Spaces with Applications to Number Theory (recebeu a Medalha Fields de 1978)
Richard Burt Melrose: Pseudodifferential Operators, Corners and Singular Limits.
Shigefumi Mori: Birational Classification of Algebraic Threefolds (recebeu a Medalha Fields no mesmo ano)
Yakov Sinai: Hyperbolic Billiards.
Karen Uhlenbeck: Applications of Non-Linear Analysis in Topology.
Alexander Varchenko: Multidimensional Hypergeometric Functions in Conformal Field Theory, Algebraic K-Theory, Algebraic Geometry.

1994 Zurique

László Babai: Transparent Proofs and Limits to Approximation.
Andrei Bolibrukh: The Riemann-Hilbert problem and Fuchsian differential equations on the Riemann sphere.
Jean Bourgain: Harmonic Analysis and Nonlinear Partial Differential Equations (recebeu a Medalha Fields no mesmo ano)
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 Keller: Wave Propagation.
Maxim Kontsevich: Homological Algebra of Mirror Symmetry (recebeu a Medalha Fields de 1998)
Pierre-Louis Lions: On Some Recent Methods for Nonlinear Partial Differential Equations (recebeu a Medalha Fields no mesmo ano)
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 Taubes: Anti-self Dual Geometry.
S. R. Srinivasa Varadhan: Entropy Methods in Hydrodynamic Scaling.
Victor Vassiliev: Topology of Discriminants and Their Complements.
Dan-Virgil 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 (recebeu a Medalha Fields no mesmo ano)

1998 Berlim

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 Hofer: Dynamics, Topology, and Holomorphic Curves.
Ehud Hrushovski: Geometric Model Theory.
Ian 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 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: A¹-Homotopy Theory (recebeu a Medalha Fields de 2002)

2002 Pequim

Noga Alon: Discrete Mathematics: Methods and Challenges.
Douglas 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, Paul Chien-Ping Yang: Non-linear Partial Differential Equations in Conformal Geometry.
David Donoho: Emerging Applications of Geometric Multiscale Analysis.
Ludvig Faddeev: Knotted Solitons.
Shafrira 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.
Laurent Lafforgue: Chtoucas de Drinfeld, Formule des Traces d’Arthur-Selberg et Correspondance de Langlands (recebeu a Medalha Fields no mesmo ano)
David Mumford: Pattern Theory: The Mathematics of Perception (recebeu a Medalha Fields de 1974)
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 (recebeu a Medalha Fields de 1990)

2006 Madrid

Percy Deift: Universality for Mathematical and Physical Systems.
Jean-Pierre Demailly: Kähler Manifolds and Transcendental Techniques in Algebraic Geometry.
Ronald DeVore: Optimal Computation.
Yakov Eliashberg: Symplectic Field Theory and Its Applications.
Étienne Ghys: Knots and Dynamics.
Richard Hamilton: The Poincaré Conjecture.
Henryk Iwaniec: Prime Numbers and L-functions.
Iain Murray Johnstone: High Dimensional Statistical Inference and Random Matrices.
Kazuya Katō: Iwasawa Theory and Generalizations.
Robert Kohn: Energy-Driven Pattern Formation.
Ib 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 (recebeu a Medalha Fields no mesmo ano)
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.

2010 Hyderabad

David Aldous: Exchangeability and Continuum Limits of Discrete Random Structures
Artur Avila: Dynamics of Renormalization Operators
Ramachandran Balasubramanian: Highly Composite
Ngô Bảo Châu: Endoscopy Theory of Automorphic Forms (recebeu a Medalha Fields no mesmo ano)
Jean-Michel Coron: On the Controllability of Nonlinear Partial Differential Equations
Irit Dinur: Probabilistically Checkable Proofs and Codes (Teorema PCP)
Hillel Fürstenberg: Ergodic Structures and Non-Conventional Ergodic Theorems
Thomas J.R. Hughes: Isogeometric Analysis
Peter Wilcox 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
Raman Parimala: Arithmetic of Linear Algebraic Groups over Two-dimensional Fields
Alexey Parshin: Representations of Higher Adelic Groups and Arithmetics
Peng Shige: 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
Claire Voisin: On the Cohomology of Algebraic Varieties
William Hugh Woodin: Strong Axioms of Infinity and the Search for V

2014 Seul

Ian Agol: Virtual properties of 3-manifolds
James Arthur: L-functions and automorphic representations
Manjul Bhargava: Rational points on elliptic and hyperelliptic curves (recebeu a Medalha Fields no mesmo ano)
Alexei Borodin: Integrable probability
Franco Brezzi: The great beauty of VEM’s
Emmanuel Candès: Mathematics of sparsity (and a few other things)
Demetrios Christodoulou: Hyperbolic P.D.E. and Lorentzian Geometry
Alan Frieze: Random Structures and Algorithms
Jean-François Le Gall: Random geometry on the sphere
Ben Green: Approximate algebraic structure
Jun-Muk Hwang: Mori geometry meets Cartan geometry: Varieties of minimal rational tangents
János Kollár: The structure of algebraic varieties
Mikhail Lyubich: Analytic Low-Dimensional Dynamics: from dimension one to two
Fernando Codá Marques: Minimal surfaces - variational theory and applications
Frank Merle: Asymptotics for critical nonlinear dispersive equations
Maryam Mirzakhani: (Vortrag gestrichen) (recebeu a Medalha Fields no mesmo ano)
Takurō Mochizuki: Wild harmonic bundles and twistor ${\mathcal {D}}$ -modules
Benoit Perthame: Some mathematical aspects of tumor growth and therapy
Jonathan Pila: O-minimality and Diophantine geometry
Vojtěch Rödl: Quasi-randomness and the regularity method in hypergraphs
Vera Serganova: Finite dimensional representations of algebraic supergroups