Year |
Name |
Nationality |
Citation |
1978 |
Israel
Gelfand |
Soviet Union/ Ukraine/ Russia |
for his work in functional analysis, group
representation, and for his seminal contributions to many areas
of mathematics and its applications. |
Carl L. Siegel |
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/ United States |
for his inspired introduction of algebraic-geometric 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/ Russia |
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 |
Poland/ 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 Krein |
Soviet Union |
for his fundamental contributions to functional
analysis and its applications. |
1983/4 |
Shiing-Shen Chern |
People's Republic of
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 |
Germany/ United States |
for initiating many, now classic and essential, developments in
partial differential
equations. |
1986 |
Samuel
Eilenberg |
Poland/ 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 |
Hungary/ United States |
for his outstanding contributions to many areas of analysis and applied
mathematics. |
1988 |
Friedrich Hirzebruch |
Germany |
for outstanding work combining topology, algebraic geometry 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
operators 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 |
Soviet Union/ Israel/ United States |
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 |
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 |
Germany/ 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
theory, 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, and 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/ United States |
for his outstanding contributions to combinatorics, theoretical computer
science and combinatorial
optimization. |
Elias M.
Stein |
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 |
Slovakia/ Canada/ 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
theory. |
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
theory 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 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 homogeneous
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
Kingdom |
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. |