| 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 |
2008 |
Pierre R. Deligne
|
for his work on mixed Hodge theory; the Weyl conjectures; the Riemann-Hilbert correspondence; and for his contributions to arithmetic.
|
| 2008 |
Phillip A. 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 B. 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.
|
| 2006/7 |
Stephen J. Smale
|
for his groundbreaking contributions that have played a fundamental role in shaping differential topology, dynamical systems, mathematical economics, and other subjects in mathematics
|
| 2006/7 |
Harry Furstenberg
| for his profound contributions to ergodic theory, probability, topological dynamics, analysis on symmetric spaces and homogenous flows.
|
| 2005 |
Gregory 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 | Not Awarded
|
|
| 2002/3 |
$B:4F#(B $B44IW(B
| for his creation of algebraic analysis, including hyperfunction and microfunction theory, holonomic quantum field theory, and a unified theory of soliton equations.
|
| 2002/3 |
John T. Tate
| for his creation of fundamental concepts in algebraic number theory.
|
| 2001 | Vladimir I. 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 | Laszlo Lovasz
| for his outstanding contributions to combinatorics, theoretical computer science and combinatorial optimization.
|
| 1999 | Elias M. Stein
| 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.
|
| 1998 | Not awarded
|
|
| 1996/7 | Joseph B. Keller
| for his profound and innovative contributions, in particular to electromagnetic, optical, acoustic wave propagation and to fluid, solid, quantum and statistical mechanics.
|
| 1996/7 | 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.
|
| 1995/6 |
Robert Langlands
| for his path-blazing work and extraordinary insight in the fields of number thory, automorphic forms and group representation.
|
| 1995/6 |
Andrew J. Wiles
| for spectacular contributions to number theory and related fields, major advances on fundamental conjectures,and for settling Fermat's last theorem.
|
| 1994/5 | Jurgen K. Moser
| for his fundamental work on stability in Hamiltonian mechanics and his profound and influential contributions to nonlinear differential equations.
|
| 1993 |
Mikhael Gromov | for his revolutionary contributions to global Riemmanian 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 A.E. Carleson
| for his fundamental contributions to Fourier analysis, complex analysis, quasi-conformal 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 | Not awarded.
|
|
| 1990 | Ennio De Giorgi
| for his innovating ideas and fundamental achievements 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 | Alberto P. Calderon
| for his groundbreaking work on singular integral operators and their application to important problems in partial differential equations.
|
| 1989 | John W. Milnor
| for ingenious and highly original discoveries in geometry, which have opened important new vistas in topology from the algebraic, combinatorial, and differentiable viewpoint.
|
| 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 Hormander
| for fundamental work in modern analysis, in particular, the application of pseudo-differential and
Fourier integral operators to linear partial differential equations.
|
| 1987 | $B0KF#(B $B@6(B
| for his fundamental contributions to pure and applied probability theory, especially
the creation of the stochastic differential and integral calculus.
|
| 1987 | Peter D. 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.
|
| 1984/5 | $B>.J?K.I'(B
| for his outstanding contributions to the study of complex manifolds and algebraic varieties.
|
| 1984/5 | Hans Lewy
| for initiating many, now classic and essential, developments in partial differential equations.
|
| 1983/4 | Shiing S. Chern
| for outstanding contributions to global differential geometry, which have profoundly influenced all mathematics.
|
| 1983/4 | Paul Erdos
| for his numerous contributions to number theory, combinatorics, probability, set theory and mathematical analysis, and for personally stimulating mathematicians the world over.
|
| 1982 | Hassler Whitney
| for his fundamental work in algebraic topology, differential geometry and differential topology.
|
| 1982 | Mark Grigor'Evich Krein
| for his fundamental contributions to functional analysis and its applications.
|
| 1981 | Lars V. 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 | Andrei N. 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 | Andre Weil
| for his inspired introduction of algebro-geometry methods to the theory of numbers.
|
| 1978 |
Izrail M. Gelfand
| for his seminal contributions to many areas of mathematics and its applications.
|
| 1978 | Carl L. Siegel
| for his contributions to the theory of numbers, theory of several complex variables, and celestial mechanics.
|
