| Year |
|
Winner |
Winner Work |
| 2014 |
|
Maryam Mirzakhani |
For her outstanding contributions to the dynamics and geometry of Riemann surfaces and their moduli spaces. |
| 2014 |
|
Manjul Bhargava |
For developing powerful new methods in the geometry of numbers, which he applied to count rings of small rank and to bound the average rank of elliptic curves. |
| 2014 |
|
Martin Hairer |
For his outstanding contributions to the theory of stochastic partial differential equations, and in particular created a theory of regularity structures for such equations. |
| 2014 |
|
Artur Avila |
For his profound contributions to dynamical systems theory have changed the face of the field, using the powerful idea of renormalization as a unifying principle. |
| 2010 |
|
Stanislav Smirnov |
For his work on the mathematical foundations of statistical physics, particularly finite lattice models. |
| 2010 |
|
Ngô B?o Châu |
|
| 2010 |
|
Elon Lindenstrauss |
For his results on measure rigidity in ergodic theory, and their applications to number theory. |
| 2010 |
|
Cédric Villani |
For his work on Landau damping and the Boltzmann equation. |
| 2006 |
|
Andrei Okounkov |
For his contributions to bridging probability, representation theory and algebraic geometry. |
| 2006 |
|
Grigori Perelman |
Declined to accept. |
| 2006 |
|
Terence Tao |
For his contributions to partial differential equations, combinatorics, harmonic analysis and additive number theory. |
| 2006 |
|
Wendelin Werner |
|
| 2002 |
|
Laurent Lafforgue |
|
| 2002 |
|
Vladimir Voevodsky |
For his work in developing a homotopy theory for algebraic varieties and formulating motivic cohomology. |
| 1998 |
|
Richard Borcherds |
For his contributions to algebra, the theory of automorphic forms, and mathematical physics, including the introduction of vertex algebras and Borcherds' Lie algebras, the proof of the Conway-Norton moonshine conjecture and the discovery of a new class of automorphic infinite products. |
| 1998 |
|
Timothy Gowers |
For research connecting the fields of functional analysis and combinatorics. |
| 1998 |
|
Maxim Kontsevich |
For his contributions to four problems of geometry. |
| 1998 |
|
Curtis T. McMullen |
For his work in complex dynamics, hyperbolic geometry and Teichmüller theory. |
| 1998 |
|
Andrew Wiles |
Special tribute from IMU. |
| 1994 |
|
Jean Bourgain |
|
| 1994 |
|
Pierre-Louis Lions |
For his mathematical work. |
| 1994 |
|
Jean-Christophe Yoccoz |
For his work on dynamical systems. |
| 1994 |
|
Efim Zelmanov |
|
| 1990 |
|
Vladimir Drinfeld |
|
| 1990 |
|
Shigefumi Mori |
|
| 1990 |
|
Vaughan Jones |
|
| 1990 |
|
Edward Witten |
|
| 1986 |
|
Simon Donaldson |
For his work on topology of four-manifolds, especially for showing that there is a differential structure on euclidian four-space which is different from the usual structure. |
| 1986 |
|
Gerd Faltings |
For proving the Mordell conjecture, which states that any non-singular projective curve of genus g > 1 defined over a number field K contains only finitely many K-rational points. |
| 1986 |
|
Michael Freedman |
For his work on the Poincaré conjecture. |
| 1982 |
|
Shing-Tung Yau |
For his contributions to partial differential equations, to the Calabi conjecture in algebraic geometry, to the positive mass conjecture of general relativity theory, and to real and complex Monge\u2013Ampère equations. |
| 1982 |
|
Alain Connes |
|
| 1982 |
|
William Thurston |
For his contributions to the study of 3-manifolds. |
| 1978 |
|
Grigory Margulis |
|
| 1978 |
|
Pierre Deligne |
|
| 1978 |
|
Charles Fefferman |
For his work in mathematical analysis. |
| 1978 |
|
Daniel Quillen |
For his formulation of higher algebraic K-theory in 1972. |
| 1974 |
|
Enrico Bombieri |
|
| 1974 |
|
David Mumford |
|
| 1970 |
|
Alan Baker |
|
| 1970 |
|
Heisuke Hironaka |
|
| 1970 |
|
Sergei Novikov |
For proving the topological invariance of the rational Pontryagin classes, and posed the Novikov conjecture. |
| 1970 |
|
John G. Thompson |
For his work in the field of finite groups. |
| 1966 |
|
Michael Atiyah |
For his work in developing K-theory, a generalized Lefschetz fixed-point theorem and the Atiyah\u2013Singer theorem. |
| 1966 |
|
Paul Cohen |
For his result on the continuum hypothesis. |
| 1966 |
|
Alexander Grothendieck |
|
| 1966 |
|
Stephen Smale |
|
| 1962 |
|
Lars Hörmander |
Linear partial differential operators |
| 1962 |
|
John Milnor |
For his work in differential topology. |
| 1958 |
|
Klaus Roth |
|
| 1958 |
|
René Thom |
|
| 1954 |
|
Kunihiko Kodaira |
|
| 1954 |
|
Jean-Pierre Serre |
|
| 1950 |
|
Laurent Schwartz |
He pioneered the theory of distributions, which gives a well-defined meaning to objects such as the Dirac delta function. |
| 1950 |
|
Atle Selberg |
For his fundamental accomplishments during the 1940s. |
| 1936 |
|
Lars Ahlfors |
|
| 1936 |
|
Jesse Douglas |
For solving, in 1930, the problem of Plateau, which asks whether a minimal surface exists for a given boundary. |
