List of plenary lectures at the International Congress of Mathematicians

The list of plenary lectures at the international congresses of mathematicians lists the plenary lectures at the international congresses of mathematicians .

For Russian lectures, the title of the lecture is given in the translation language of the lecture volumes.

1897 Zurich

Henri Poincaré : Sur les rapports de l'analyse pure et de la physique mathématique
Adolf Hurwitz : About the development of the general theory of analytical functions in recent times
Giuseppe Peano : Logica matematica
Felix Klein : On the question of higher mathematical instruction

1900 Paris

Moritz Cantor : L'historiographie des mathématiques
David Hilbert : Mathematical Problems (see Hilbert's Problems )
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'analysis

1904 Heidelberg

Alfred George Greenhill : The mathematical theory of the top considered historically
Paul Painlevé : Le Problem Modern de l'intégration des equations différentielles
Corrado Segre : La geometria d'oggidi ei suoi legami coll'analisi
Wilhelm Wirtinger : Riemann's lectures on the hypergeometric series and its meaning

1908 Rome

Gaston Darboux : Les origines, les méthodes et les problemèmes de la géométrie infinitésimale
Walther von Dyck : The Encyclopedia of the Mathematical Sciences
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 complexes
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 Borissowitsch Golitsyn : The Principles of Instrumental Seismology.
Edmund Landau : Solved and unsolved problems from the theory of prime number distribution and the Riemann zeta function.
Joseph Larmor : On the Dynamics of Radiation.
Henry Seely White : The Place of Mathematics in Engineering Practice.

1920 Strasbourg

Leonard Dickson : Some Relations between the Theory of Numbers and Other Branches of Mathematics.
Joseph Larmor : Questions in Physical Interdetermination.
Niels Erik Nørlund : Sur les equations 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'analysis.

1924 Toronto

Élie Cartan : La théorie des groupes et les recherches récentes de géométrie différentielle.
Leonard 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 Bologna

Luigi Amoroso : Le equazioni differenziali della dinamica economica.
George David Birkhoff : Quelques éléments mathématiques de l'art.
Émile Borel : Le calcul des probabilités et les sciences exactes.
Guido Castelnuovo : La geometria algebrica e la scuola italiana.
Maurice Fréchet : L'analysis générale et les espaces abstraits.
Jacques Hadamard : Le développement et le rôle scientifique du calcul fonctionnel.
David Hilbert : Problems of the foundation of mathematics
Theodore von Kármán : Mathematical Problems of Modern Aerodynamics.
Nikolai Nikolajewitsch Lusin : 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 : Continuous groups and their representations through linear transformations.
William Henry Young : The Mathematical Method and Its Limitations.

1932 Zurich

James Waddell Alexander : Some Problems in Topology.
Sergei Bernstein : Sur les liaisons entre quantités aléatoires.
Ludwig Bieberbach : Operational areas of functions.
Harald Bohr : Almost periodic functions of a complex variable.
Constantin Carathéodory : About the analytical mapping through the functions of several variables.
Torsten Carleman : Sur la théorie des equations intégrales linéaires et ses applications.
Elie Cartan : Sur les espaces riemanniens symétriques.
Rudolf Fueter : Ideal Theory and Function Theory.
Gaston Julia : Essai sur le développement de la théorie des fonctions de variable complexes.
Karl Menger : Newer Methods and Problems of Geometry.
Marston Morse : The Calculus of Variations in the Large.
Rolf Nevanlinna : About the Riemann surface of an analytic function.
Emmy Noether : Hypercomplex systems in their relationships to commutative algebra and number theory.
Wolfgang Pauli : Mathematical Methods of Quantum Mechanics.
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 : Intuition and thinking in the classical theory of Greek mathematics.
Nikolai Grigorjewitsch Tschebotarjow : The tasks of the modern Galois theory
Georges Valiron : Le théorème de Borel-Julia dans la théorie des fonctions méromorphes.
Rolin Wavre : L'aspect analytique duproblemème des figures planétaires.

1936 Oslo

Lars Ahlfors : Geometry of Riemann surfaces (Ahlfors and Jesse Douglas were one of the winners of the first Fields Medal in the same year)
Stefan Banach : The theory of operations and their meaning for analysis.
George David Birkhoff : On the Foundations of Quantum Mechanics.
Vilhelm Bjerknes : New Lines in Hydrodynamics.
Élie Cartan : Quelques aperçus sur le rôle de la théorie des groupes de Sophus Lie dans le développement de la géométrie moderne.
Johannes van der Corput : Diophantine approximations.
Maurice Fréchet : Mélanges mathématiques.
Rudolf Fueter : The theory of the regular functions of a quaternion variable.
Helmut Hasse : About the Riemann Hypothesis in Functional Fields.
Erich Hecke : Recent advances in the theory of elliptical module functions.
Louis Mordell : Minkowski's Theorems and Hypotheses on Linear Forms.
Otto Neugebauer : About pre-Greek mathematics and their position to the Greek.
Jakob Nielsen : Topology of the surface images.
Øystein Ore : The Decomposition Theorems of Algebra.
Carl Wilhelm Oseen : Problems of Geometric Optics.
Carl Ludwig Siegel : Analytical Theory of Square Shapes.
Carl Størmer : Program 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 : Laplace Operator on Manifolds.
Henri Cartan : Problems of globaux in la théorie des fonctions analytiques de plusieurs variable complexes.
SS 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 : The n-dimensional spheres and projective spaces in topology.
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 (winner of the Fields Medal in the same year)
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

Pawel Sergejewitsch Alexandrow : From the set theoretical topology of the last twenty years (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.
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 Nikolajewitsch Kolmogorow : Théorie générale des systèmes dynamiques et mécanique classique (Russian, with a French summary)
André Lichnerowicz : Les groupes d'holonomie et leurs applications.
John von Neumann : On Unsolved Problems in Mathematics.
Jerzy Neyman : Current Problems of Mathematical Statistics.
Sergei Michailowitsch Nikolski : Some questions about the approximation of functions by polynomials (Russian)
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 Edinburgh

Alexander Danilowitsch Alexandrow : Modern Development of Surface Theory.
Nikolai Nikolajewitsch Bogoljubow , Wassili Sergejewitsch Wladimirow : On Some Mathematical Problems of Quantum Field Theory.
Henri Cartan : Sur les fonctions de plusieurs variable 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 : Complex manifolds.
Stephen Cole Kleene : Mathematical Logic: Constructive and Non-Constructive Operations.
Cornelius Lanczos : Extended Boundary Value Problems.
Lew Semenowitsch Pontryagin : Optimal Processes of Regulation. (Russian)
Klaus Friedrich Roth : Rational Approximations to Algebraic Numbers (winner of the Fields Medal in the same year)
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 (winner of the Fields Medal in the same year)
George Uhlenbeck : Some Fundamental Problems in Statistical Physics.
Helmut Wielandt : Lines of Development in the Structure Theory of Finite Groups.

1962 Stockholm

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. (Russian)
Beno Eckmann : Homotopy and Cohomology Theory.
Israel Gelfand : Automorphic Functions and the Theory of Representations. (Russian)
Hans Grauert : The importance of the Levian problem for analytic and algebraic geometry.
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 (Fields Medal Winner that same year)
MHA Newman : Geometrical Topology.
Louis Nirenberg : Some Aspects of Linear and Nonlinear Partial Differential Equations.
Igor Schafarewitsch : Algebraic Number Fields. (Russian)
Atle Selberg : Discontinuous Groups and Harmonic Analysis (Winner of the Fields Medal 1950)
Jean-Pierre Serre : Géométrie algébrique (winner of the Fields Medal 1954)
Jacques Tits : Groupes simples et géométries associées.

1966 Moscow

John 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 (winner of the Fields Medal in the same year)
Richard Bellman : Dynamic Programming and Modern Control Theory.
Lennart Carleson : Convergence and Summability of Fourier Series.
Nikolai Wladimirowitsch Efimow (Efimov) Hyperbolic Problems in the Theory of Surfaces. (Russian)
Harish-Chandra : Harmonic Analysis on Semisimple Lie Groups.
Mark Krein : Analytic Problems and Results in the Theory of Linear Operators in Hilbert Space. (Russian)
Bernard Malgrange : Théorie Locale des Fonctions Différentiables.
Anatoli Iwanowitsch Malzew (Malcev): On Some Questions on the Border of Algebra and Logic. (Russian)
Ilya Pyatetsky-Shapiro : Automorphic Functions and Arithmetic Groups. (Russian)
Johann Schröder : Inequalities and Error Estimates.
Kurt Schütte : Newer Results of Proof Theory.
Stephen Smale : Differentiable Dynamical Systems (Fields Medal Winner that same year)
Charles M. Stein : Some Recent Developments in Mathematical Statistics.
John Griggs Thompson : Characterizations of Finite Simple Groups (1970 Fields Medal Winner)
Iwan Matwejewitsch Winogradow , Alexei Georgijewitsch Postnikow : Recent Developments in Analytic Number Theory. (Russian)

1970 Nice

Alan Baker : Effective Methods in the Theory of Numbers (Winner of Fields Medal in the same year)
Raoul Bott : On Topological Obstructions to Integrability.
William Browder : Manifolds and Homotopy Theory.
SS 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 (Winner of the Fields Medal 1962)
Tosio Kato : Scattering Theory and Perturbation of Continuous Spectra.
Howard Jerome Keisler : Model Theory.
Guri Iwanowitsch Martschuk : Methods and Problems of Computational Mathematics.
Lev Pontryagin : Les Jeux différentiels linéaires.
Elias M. Stein : Some Problems in Harmonic Analysis Suggested by Symmetric Spaces and Semi-Simple Groups.
Richard Swan : Algebraic K-Theory.
John T. Tate : Symbols in Arithmetic.
CTC Wall : Geometric Topology: Manifolds and Structures.

1974 Vancouver

Wladimir Arnold : Critical Points of Smooth Functions.
Heinz Bauer : Aspects of Modern Potential Theory.
Enrico Bombieri : Variational Problems and Elliptic Equations (winner of the Fields Medal in the same year)
Gérard Debreu : Four Aspects of the Mathematical Theory of Economic Equilibrium.
Pierre Deligne : Poids dans la cohomologie des variétés algébriques (winner of the Fields Medal 1978)
George Duff : Mathematical Problems of Tidal Energy.
Charles Fefferman : Recent Progress in Classical Fourier Analysis (Winner of the Fields Medal 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 Milner : Transversal Theory.
Daniel Quillen : Higher Algebraic K-Theory (Winner of the Fields Medal 1978)
Wolfgang M. 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.
Anatoly Georgijewitsch Wituschkin : Coding of Signals with Finite Spectrum and Sound Recording Problems.

1978 Helsinki

Lars Ahlfors : Quasiconformal Mappings, Teichmüller Spaces and Kleinian Groups.
Alberto Calderón : Commutators, Singular Integrals on Lipschitz Curves and Applications.
Alain Connes : Von Neumann Algebras (recipient of the Fields Medal 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.
Alexander Alexandrowitsch Kirillov : Infinite-dimensional groups, their representations, orbits, invariants
Robert Langlands : L-Functions and Automorphic Representations.
Yuri Manin : Modular Forms and Number Theory.
Sergei Petrowitsch Novikow : Linear Operators and Integrable Hamiltonian Systems (winner of the Fields Medal 1970)
Roger Penrose : The Complex Geometry of the Natural World.
Wilfried Schmid : Representations of Semisimple Lie Groups.
Albert Nikolajewitsch Schirjajew : Absolute Continuity and Singularity of Probability Measures in Functional Spaces.
William Thurston : Geometry and Topology in Dimension Three (1983 Fields Medal Winner)
André Weil : History of Mathematics: Why and How.
Shing-Tung Yau : The Role of Partial Differential Equations in Differential Geometry (Winner of the Fields Medal 1983)

1983 Warsaw

Wladimir 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.
Viktor Pavlovich Maslow : 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 : Underlying Concepts in the Proof of the Bieberbach Conjecture.
Simon Donaldson : Geometry of Four Dimensional Manifolds (Fields Medal Winner that same year)
Gerd Faltings : Recent Progress in Arithmetic Algebraic Geometry (winner of the Fields Medal in the same year)
Frederick William Gehring : Quasiconformal Mappings.
Michail Leonidowitsch Gromow : Soft and Hard Symplectic Geometry.
Hendrik W. 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.
Anatoli Skorochod : 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 Alexandrowitsch Suslin : Algebraic K-Theory of Fields.
David Alexander Vogan : Representations of Reductive Lie Groups.
Edward Witten : String Theory and Geometry.

1990 Kyoto

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 (winner of the Fields Medal in the same year)
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.
Gregori Margulis : Dynamical and Ergodic Properties of Subgroup Actions on Homogeneous Spaces with Applications to Number Theory (Winner of the Fields Medal 1978)
Richard Melrose : Pseudodifferential Operators, Corners and Singular Limits.
Shigefumi Mori : Birational Classification of Algebraic Threefolds (Winner of the Fields Medal in the same year)
Jakow Grigoryevich Sinai : Hyperbolic Billiards.
Karen Uhlenbeck : Applications of Non-Linear Analysis in Topology.
Alexander Nikolajewitsch Wartschenko (Varchenko): Multidimensional Hypergeometric Functions in Conformal Field Theory, Algebraic K-Theory, Algebraic Geometry.

1994 Zurich

László Babai : Transparent Proofs and Limits to Approximation.
Andrei Andrejewitsch Bolibruch : The Riemann-Hilbert problem and Fuchsian differential equations on the Riemann sphere.
Jean Bourgain : Harmonic Analysis and Nonlinear Partial Differential Equations (winner of the Fields Medal in the same year)
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 B. Keller : Wave Propagation.
Maxim Kontsevich : Homological Algebra of Mirror Symmetry (winner of the Fields Medal 1998)
Pierre-Louis Lions : On Some Recent Methods for Nonlinear Partial Differential Equations (Fields Medal Winner in the same year)
Bernadette Perrin-Riou : p-adic L-functions.
Marina Ratner : Interactions between Ergodic Theory, Lie Groups and Number Theory.
Paul Seymour : Progress on the Four-Color Theorem.
Clifford Henry Taubes : Anti-self Dual Geometry.
SR Srinivasa Varadhan : Entropy Methods in Hydrodynamic Scaling.
Viktor Anatoljewitsch Wassiljew (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 (winner of the Fields Medal in the same year)

1998 Berlin

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 : A ¹ -Homotopy Theory (Winner of the Fields Medal 2002)

2002 Beijing

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 C. Yang : Non-linear Partial Differential Equations in Conformal Geometry.
David Donoho : Emerging Applications of Geometric Multiscale Analysis.
Ludwig Faddejew (Fadeev): 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 J. 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 (winner of the Fields Medal in the same year)
David Mumford : Pattern Theory: The Mathematics of Perception (1974 Fields Medal Winner)
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 (winner of the Fields Medal 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 S. Hamilton : The Poincaré Conjecture.
Henryk Iwaniec : Prime Numbers and L-functions.
Iain M. Johnstone : High Dimensional Statistical Inference and Random Matrices.
Kazuya Kato : Iwasawa Theory and Generalizations.
Robert V. 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 P. Stanley : Increasing and Decreasing Subsequences and Their Variants.
Terence Tao : The Dichotomy between Structure and Randomness, Arithmetic Progressions, and the Primes (winner of the Fields Medal in the same year)
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
R. Balasubramanian : Highly Composite
Ngô Bao Châu : Endoscopy Theory of Automorphic Forms (Winner of the Fields Medal in the same year)
Jean-Michel Coron : On the Controllability of Nonlinear Partial Differential Equations
Irit Dinur : Probabilistically Checkable Proofs and Codes ( PCP Theorem )
Hillel Fürstenberg : Ergodic Structures and Non-Conventional Ergodic Theorems
Thomas JR 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
Raman Parimala : Arithmetic of Linear Algebraic Groups over Two-dimensional Fields
Alexei Nikolajewitsch Parschin (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
W. Hugh Woodin : Strong Axioms of Infinity and the Search for V

2014 Seoul

Ian Agol : Virtual properties of 3-manifolds
James Arthur : L-functions and automorphic representations
Manjul Bhargava : Rational points on elliptic and hyperelliptic curves (Winner of the Fields Medal in the same year)
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 PDE 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 : (Lecture canceled) (Winner of the Fields Medal in the same year)
Takuro Mochizuki : Wild harmonic bundles and twistor modules ${\ displaystyle {\ mathcal {D}}}$
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

2018 Rio de Janeiro

Luigi Ambrosio (Calculus, heat flow and curvature-dimension bounds in metric measure spaces)
Nalini Anantharaman (Delocalization of Schrödinger Eigenfunctions)
Sanjeev Arora (Mathematics of machine learning: An introduction)
Ronald Coifman (Harmonic analytic geometry on subsets in high dimensions - Empirical models)
Simon Donaldson (Some recent developments in Kähler geometry and exceptional holonomy)
Catherine Goldstein (Long-term history and ephemeral configurations)
Michael I. Jordan (Dynamical, symplectic and stochastic perspectives on gradient-based optimization)
Gil Kalai (Three puzzles on mathematics, computation and games)
Peter Kronheimer , Tom Mrowka (Knots, three-manifolds and instantons)
Vincent Lafforgue (Shtukas for reductive groups and Langlands correspondence for function fields)
Greg Lawler (Conformally invariant loop measures)
Christian Lubich (Dynamics, numerical analysis and some geometry)
Alex Lubotzky (High dimensional expanders)
Carlos Gustavo Moreira (Dynamical systems, fractal geometry and diophantine approximations)
Assaf Naor (Metric dimension reduction: A snapshot of the Ribe program)
Andrei Okounkov (On the crossroads of enumerative geometry and geometric representation theory)
Rahul Pandharipande (Cohomological field theory calculations)
Peter Scholze (p-adic geometry)
Sylvia Serfaty (Systems of points with Coulomb interactions)
Geordie Williamson (Parity sheaves and the Hecke category)
Lai-Sang Young (Dynamical systems evolving)