| Year |
Name |
Nationality |
Citation |
| 1978 |
Israel Gelfand |
 Soviet Union |
for his work in functional analysis, group representation, and for his seminal contributions to many areas of mathematics and its applications. |
| Carl L. Siegel |
 West Germany |
for his contributions to the theory of numbers, theory of several complex variables, and celestial mechanics. |
| 1979 |
Jean Leray |
 France |
for pioneering work on the development and application of topological methods to the study of differential equations. |
| André Weil |
France |
for his inspired introduction of algebra-geometry methods to the theory of numbers. |
| 1980 |
Henri Cartan |
France |
for pioneering work in algebraic topology, complex variables, homological algebra and inspired leadership of a generation of mathematicians. |
| Andrey Kolmogorov |
Soviet Union |
for deep and original discoveries in Fourier analysis, probability theory, ergodic theory and dynamical systems. |
| 1981 |
Lars Ahlfors |
 Finland |
for seminal discoveries and the creation of powerful new methods in geometric function theory. |
| Oscar Zariski |
 United States |
creator of the modern approach to algebraic geometry, by its fusion with commutative algebra. |
| 1982 |
Hassler Whitney |
United States |
for his fundamental work in algebraic topology, differential geometry and differential topology. |
| Mark Grigoryevich Krein |
Soviet Union |
for his fundamental contributions to functional analysis and its applications. |
| 1983/4 |
Shiing-Shen Chern |
 China / United States |
for outstanding contributions to global differential geometry, which have profoundly influenced all mathematics. |
| Paul Erdős |
 Hungary |
for his numerous contributions to number theory, combinatorics, probability, set theory and mathematical analysis, and for personally stimulating mathematicians the world over. |
| 1984/5 |
Kunihiko Kodaira |
 Japan |
for his outstanding contributions to the study of complex manifolds and algebraic varieties. |
| Hans Lewy |
United States |
for initiating many, now classic and essential, developments in partial differential equations. |
| 1986 |
Samuel Eilenberg |
United States |
for his fundamental work in algebraic topology and homological algebra. |
| Atle Selberg |
 Norway |
for his profound and original work on number theory and on discrete groups and automorphic forms. |
| 1987 |
Kiyoshi Itō |
Japan |
for his fundamental contributions to pure and applied probability theory, especially the creation of the stochastic differential and integral calculus. |
| Peter Lax |
United States |
for his outstanding contributions to many areas of analysis and applied mathematics. |
| 1988 |
Friedrich Hirzebruch |
West Germany |
for outstanding work combining topology, algebraic and differential geometry, and algebraic number theory; and for his stimulation of mathematical cooperation and research. |
| Lars Hörmander |
 Sweden |
for fundamental work in modern analysis, in particular, the application of pseudo-differential and Fourier integral operators to linear partial differential equations. |
| 1989 |
Alberto Calderón |
 Argentina |
for his groundbreaking work on singular integral operators and their application to important problems in partial differential equations. |
| John Milnor |
United States |
for ingenious and highly original discoveries in geometry, which have opened important new vistas in topology from the algebraic, combinatorial, and differentiable viewpoint. |
| 1990 |
Ennio de Giorgi |
 Italy |
for his innovating ideas and fundamental achievements in partial differential equations and calculus of variations. |
| Ilya Piatetski-Shapiro |
 Israel |
for his fundamental contributions in the fields of homogeneous complex domains, discrete groups, representation theory and automorphic forms. |
| 1991 |
No award |
| 1992 |
Lennart Carleson |
Sweden |
for his fundamental contributions to Fourier analysis, complex analysis, quasi-conformal mappings and dynamical systems. |
| John G. Thompson |
United States |
for his profound contributions to all aspects of finite group theory and connections with other branches of mathematics. |
| 1993 |
Mikhail Gromov |
 Russia / France |
for his revolutionary contributions to global Riemannian and symplectic geometry, algebraic topology, geometric group theory and the theory of partial differential equations; |
| Jacques Tits |
.svg/22px-Flag_of_Belgium_(civil).svg.png) Belgium / France |
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. |
| 1994/5 |
Jürgen Moser |
 Switzerland / United States |
for his fundamental work on stability in Hamiltonian mechanics and his profound and influential contributions to nonlinear differential equations. |
| 1995/6 |
Robert Langlands |
 Canada |
for his path-blazing work and extraordinary insight in the fields of number thory, automorphic forms and group representation. |
| Andrew Wiles |
 United Kingdom |
for spectacular contributions to number theory and related fields, major advances on fundamental conjectures,and for settling Fermat's last theorem. |
| 1996/7 |
Joseph B. Keller |
United States |
for his profound and innovative contributions, in particular to electromagnetic, optical, acoustic wave propagation and to fluid, solid, quantum and statistical mechanics. |
| Yakov G. Sinai |
Russia / United States |
for his fundamental contributions to mathematically rigorous methods in statistical mechanics and the ergodic theory of dynamical systems and their applications in physics. |
| 1998 |
No award |
| 1999 |
László Lovász |
Hungary |
for his outstanding contributions to combinatorics, theoretical computer science and combinatorial optimization. |
| Elias M. Stein |
Belgium / United States |
for his contributions to classical and "Euclidean" Fourier analysis and for his exceptional impact on a new generation of analysts through his eloquent teaching and writing. |
| 2000 |
Raoul Bott |
United States |
for his deep discoveries in topology and differential geometry and their applications to Lie groups, differential operators and mathematical physics. |
| Jean-Pierre Serre |
France |
for his many fundamental contributions to topology, algebraic geometry, algebra, and number theory and for his inspirational lectures and writing. |
| 2001 |
Vladimir Arnold |
Russia |
for his deep and influential work in a multitude of areas of mathematics, including dynamical systems, differential equations, and singularity. |
| Saharon Shelah |
Israel |
for his many fundamental contributions to mathematical logic and set theory, and their applications within other parts of mathematics. |
| 2002/3 |
Mikio Sato |
Japan |
for his creation of ‘algebraic analysis', including hyperfunction and microfunction theory, holonomic quantum field theory, and a unified theory of soliton equations. |
| John Tate |
United States |
for his creation of fundamental concepts in algebraic number theory. |
| 2004 |
No award |
| 2005 |
Gregory Margulis |
Russia |
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. |
| Sergei Petrovich Novikov |
Russia |
for his fundamental and pioneering contributions to algebraic and differential topology, and to mathematical physics, notably the introduction of algebraic-geometric methods. |
| 2006/7 |
Stephen Smale |
United States |
for his groundbreaking contributions that have played a fundamental role in shaping differential topology, dynamical systems, mathematical economics, and other subjects in mathematics. |
| Hillel Furstenberg |
Israel |
for his profound contributions to ergodic theory, probability, topological dynamics, analysis on symmetric spaces and homogenous flows. |
| 2008 |
Pierre Deligne |
Belgium |
for his work on mixed Hodge theory; the Weil conjectures; the Riemann-Hilbert correspondence; and for his contributions to arithmetic. |
| Phillip A. Griffiths |
United States |
for his work on variations of Hodge structures; the theory of periods of abelian integrals; and for his contributions to complex differential geometry. |
| David B. Mumford |
United States |
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. |
