| Year |
|
Winner |
Winner Work |
| 2013 |
|
George Mostow |
For his fundamental and pioneering contribution to geometry and Lie group theory. |
| 2013 |
|
Michael Artin |
For his fundamental contributions to algebraic geometry, both commutative and non-commutative. |
| 2012 |
|
Michael Aschbacher |
Michael Aschbacher is a principal architect of the classification of finite simple groups. His Impact on the theory of finite groups is extraordinary in its breadth, depth and beauty. |
| 2012 |
|
Luis Caffarelli |
Luis Caffarelli produced outstanding, visionary, original and fundamental work on partial differential equations, in particular on regularity for elliptic and parabolic equations, free boundary problems and fluid mechanics. |
| 2011 |
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| 2010 |
|
Shing-Tung Yau |
For his work in geometric analysis that has had a profound and dramatic impact on many areas of geometry and physics. |
| 2010 |
|
Dennis Sullivan |
For his innovative contributions to algebraic topology and conformal dynamics. |
| 2009 |
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| 2008 |
|
Pierre Deligne |
For his work on mixed Hodge theory; the Weil conjectures; the Riemann-Hilbert correspondence; and for his contributions to arithmetic. |
| 2008 |
|
Phillip Griffiths |
For his work on variations of Hodge structures; the theory of periods of abelian integrals; and for his contributions to complex differential geometry. |
| 2008 |
|
David Mumford |
For his work on algebraic surfaces; on geometric invariant theory; and for laying the foundations of the modern algebraic theory of moduli of curves and theta functions. |
| 2006 |
|
Stephen Smale |
For his groundbreaking contributions that have played a fundamental role in shaping differential topology, dynamical systems, mathematical economics, and other subjects in mathematics. |
| 2006 |
|
Hillel Furstenberg |
For his profound contributions to ergodic theory, probability, topological dynamics, analysis on symmetric spaces and homogenous flows. |
| 2005 |
|
Grigory Margulis |
For his monumental contributions to algebra, in particular to the theory of lattices in semi-simple Lie groups, and striking applications of this to ergodic theory, representation theory, number theory, combinatorics, and measure theory. |
| 2005 |
|
Sergei Novikov |
For his fundamental and pioneering contributions to algebraic and differential topology, and to mathematical physics, notably the introduction of algebraic-geometric methods. |
| 2004 |
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| 2002 |
|
Mikio Sato |
For his creation of \u201Calgebraic analysis´, including hyperfunction and microfunction theory,holonomic quantum field theory, and a unified theory of soliton equations. |
| 2002 |
|
John Tate |
For his creation of fundamental concepts in algebraic number theory. |
| 2001 |
|
Vladimir Arnold |
For his deep and influential work in a multitude of areas of mathematics, including dynamical systems, differential equations, and singularity theory. |
| 2001 |
|
Saharon Shelah |
For his many fundamental contributions to mathematical logic and set theory, and their applications within other parts of mathematics. |
| 2000 |
|
Raoul Bott |
For his deep discoveries in topology and differential geometry and their applications to Lie groups, differential operators and mathematical physics. |
| 2000 |
|
Jean-Pierre Serre |
For his many fundamental contributions to topology, algebraic geometry, algebra, and number theory and for his inspirational lectures and writing. |
| 1999 |
|
László Lovász |
For his outstanding contributions to combinatorics, theoretical computer science and combinatorial optimization. |
| 1999 |
|
Elias M. Stein |
For his contributions to classical and \u201CEuclidean\u201D Fourier analysis and for his exceptional impact on a new generation of analysts through his eloquent teaching and writing. |
| 1998 |
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| 1997 |
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| 1996 |
|
Joseph Keller |
For his profound and innovative contributions, in particular to electromagnetic, optical, acoustic wave propagation and to fluid, solid, quantum and statistical mechanics. |
| 1996 |
|
Yakov G. Sinai |
For his fundamental contributions to mathematically rigorous methods in statistical mechanics and the ergodic theory of dynamical systems and their applications in physics. |
| 1995 |
|
Robert Langlands |
For his path-blazing work and extraordinary insight in the fields of number theory, automorphic forms and group representation. |
| 1995 |
|
Andrew Wiles |
For spectacular contributions to number theory and related fields, major advances on undamental conjectures, and for settling Fermat´s last theorem. |
| 1994 |
|
Jürgen Moser |
For his fundamental work on stability in Hamiltonian and his profound and influential contributions to nonlinear differential equations. |
| 1993 |
|
Mikhail Leonidovich Gromov |
For his revolutionary contributions to global Riemannian and symplectic geometry, algebraic topology, geometric group theory and the theory of partial differential equations. |
| 1993 |
|
Jacques Tits |
For his pioneering and fundamental contributions to the theory of the structure of algebraic and other classes of groups and in particular for the theory of buildings. |
| 1992 |
|
Lennart Carleson |
For his fundamental contributions to Fourier analysis, complex analysis, quasiconformal mappings and dynamical systems. |
| 1992 |
|
John G. Thompson |
For his profound contributions to all aspects of finite group theory and connections with other branches of mathematics. |
| 1991 |
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| 1990 |
|
Ennio de Giorgi |
For his innovating ideas and fundamental achievements s in partial differential equations and calculus of variations. |
| 1990 |
|
Ilya Piatetski-Shapiro |
For his fundamental contributions in the fields of homogeneous complex domains, discrete groups, representation theory and automorphic forms. |
| 1989 |
|
John Milnor |
For ingenious and highly original discoveries in geometry, which have opened important new vistas in topology from the algebraic, combinatorial, and differentiable viewpoint. |
| 1989 |
|
Alberto Calderón |
For his groundbreaking work on singular integral operators and their application to and important problems in partial differential equations. |
| 1988 |
|
Friedrich Hirzebruch |
For outstanding work combining topology, algebraic and differential geometry, and algebraic number theory; and for his stimulation of mathematical cooperation and research. |
| 1988 |
|
Lars Hörmander |
For fundamental work in modern analysis, in particular, the application of pseudo differential and Fourier integral operators to linear partial differential equations. |
| 1987 |
|
Kiyoshi It? |
for his fundamental contributions to pure and applied probability theory, especially the creation of the stochastic differential and integral calculus. |
| 1987 |
|
Peter Lax |
for his outstanding contributions to many areas of analysis and applied mathematics. |
| 1986 |
|
Samuel Eilenberg |
for his fundamental work in algebraic topology and homological algebra. |
| 1986 |
|
Atle Selberg |
for his profound and original work on number theory and on discrete groups and automorphic forms. |
| 1984 |
|
Kunihiko Kodaira |
for his outstanding contributions to the study of complex manifolds and algebraic varieties. |
| 1984 |
|
Hans Lewy |
for initiating many, now classic and essential, developments in partial differential equations. |
| 1983 |
|
Paul Erd?s |
for his numerous contributions to number theory, combinatorics, probability, set theory and mathematical analysis, and for personally stimulating mathematicians the world over. |
| 1983 |
|
Shiing-Shen Chern |
for outstanding contributions to global differential geometry, which have profoundly influenced all mathematics. |
| 1982 |
|
Hassler Whitney |
for his fundamental work in algebraic topology, differential geometry and differential topology. |
| 1982 |
|
Mark Grigoryevich Krein |
for his fundamental contributions to functional analysis and its applications. |
| 1981 |
|
Lars Ahlfors |
for seminal discoveries and the creation of powerful new methods in geometric function theory. |
| 1981 |
|
Oscar Zariski |
creator of the modern approach to algebraic geometry, by its fusion with commutative algebra. |
| 1980 |
|
Henri Cartan |
for pioneering work in algebraic topology, complex variables, homological algebra and inspired leadership of a generation of mathematicians. |
| 1980 |
|
Andrey Kolmogorov |
for deep and original discoveries in Fourier analysis, probability theory, ergodic theory and dynamical systems. |
| 1979 |
|
Jean Leray |
for pioneering work on the development and application of topological methods to the study of differential equations. |
| 1979 |
|
André Weil |
for his inspired introduction of algebraic-geometric methods to the theory of numbers. |
| 1978 |
|
Israel Gelfand |
for his work in functional analysis, group representation, and for his seminal contributions to many areas of mathematics and its applications. |
| 1978 |
|
Carl Ludwig Siegel |
for his contributions to the theory of numbers, theory of several complex variables, and celestial mechanics. |
