Year | Name | Nationality | Citation |
---|
1978 | Israel Gelfand | {{USSR}} | for his work in functional analysis, group representation, and for his seminal contributions to many areas of mathematics and its applications. |
Carl L. Siegel | {{FRG}} | for his contributions to the theory of numbers, theory of several complex variables, and celestial mechanics. |
1979 | Jean Leray | {{FRA}} | for pioneering work on the development and application of topological methods to the study of differential equations. |
André Weil | {{FRA}} | for his inspired introduction of algebraic-geometric methods to the theory of numbers. |
1980 | Henri Cartan | {{FRA}} | for pioneering work in algebraic topology, complex variables, homological algebra and inspired leadership of a generation of mathematicians. |
Andrey Kolmogorov | {{USSR}} | for deep and original discoveries in Fourier analysis, probability theory, ergodic theory and dynamical systems. |
1981 | Lars Ahlfors | {{FIN}} | for seminal discoveries and the creation of powerful new methods in geometric function theory. |
Oscar Zariski | {{USA}} | creator of the modern approach to algebraic geometry, by its fusion with commutative algebra. |
1982 | Hassler Whitney | {{USA}} | for his fundamental work in algebraic topology, differential geometry and differential topology. |
Mark Krein | {{USSR}} | for his fundamental contributions to functional analysis and its applications. |
1983/4 | Shiing-Shen Chern | {{USA}} {{CHN}} | for outstanding contributions to global differential geometry, which have profoundly influenced all mathematics. |
Paul Erdős | {{HUN}} | 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 | {{JPN}} | for his outstanding contributions to the study of complex manifolds and algebraic varieties. |
Hans Lewy | {{FRG}} {{USA}} | for initiating many, now classic and essential, developments in partial differential equations. |
1986 | Samuel Eilenberg | {{USA}} | for his fundamental work in algebraic topology and homological algebra. |
Atle Selberg | {{NOR}} | for his profound and original work on number theory and on discrete groups and automorphic forms. |
1987 | Kiyoshi Itō | {{JPN}} | for his fundamental contributions to pure and applied probability theory, especially the creation of the stochastic differential and integral calculus. |
Peter Lax | {{USA}} {{HUN}} | for his outstanding contributions to many areas of analysis and applied mathematics. |
1988 | Friedrich Hirzebruch | {{FRG}} | 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 | {{SWE}} | 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 | {{ARG}} | for his groundbreaking work on singular integral operators and their application to important problems in partial differential equations. |
John Milnor | {{USA}} | 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 | {{ITA}} | for his innovating ideas and fundamental achievements in partial differential equations and calculus of variations. |
Ilya Piatetski-Shapiro | {{ISR}} {{USA}} | for his fundamental contributions in the fields of homogeneous complex domains, discrete groups, representation theory and automorphic forms. |
1991 | No award |
1992 | Lennart Carleson | {{SWE}} | for his fundamental contributions to Fourier analysis, complex analysis, quasi-conformal mappings and dynamical systems. |
John G. Thompson | {{USA}} | for his profound contributions to all aspects of finite group theory and connections with other branches of mathematics. |
1993 | Mikhail Gromov | {{RUS}} {{FRA}} | for his revolutionary contributions to global Riemannian and symplectic geometry, algebraic topology, geometric group theory and the theory of partial differential equations; |
Jacques Tits | {{BEL}} {{FRA}} | 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 | {{GER}} | for his fundamental work on stability in Hamiltonian mechanics and his profound and influential contributions to nonlinear differential equations. |
1995/6 | Robert Langlands | {{CAN}} | for his path-blazing work and extraordinary insight in the fields of number theory, automorphic forms and group representation. |
Andrew Wiles | {{UK}} | 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 | {{USA}} | 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 | {{RUS}} {{USA}} | 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 | {{HUN}} {{USA}} | for his outstanding contributions to combinatorics, theoretical computer science and combinatorial optimization. |
Elias M. Stein | {{USA}} | 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 | {{HUN}} {{USA}} | for his deep discoveries in topology and differential geometry and their applications to Lie groups, differential operators and mathematical physics. |
Jean-Pierre Serre | {{FRA}} | for his many fundamental contributions to topology, algebraic geometry, algebra, and number theory and for his inspirational lectures and writing. |
2001 | Vladimir Arnold | {{RUS}} | for his deep and influential work in a multitude of areas of mathematics, including dynamical systems, differential equations, and singularity theory. |
Saharon Shelah | {{ISR}} | for his many fundamental contributions to mathematical logic and set theory, and their applications within other parts of mathematics. |
2002/3 | Mikio Sato | {{JPN}} | 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 | {{USA}} | for his creation of fundamental concepts in algebraic number theory. |
2004 | No award |
2005 | Gregory Margulis | {{RUS}} | 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 | {{RUS}} | 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 | {{USA}} | 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 | {{USA}} {{ISR}} | for his profound contributions to ergodic theory, probability, topological dynamics, analysis on symmetric spaces and homogeneous flows. |
2008 | Pierre Deligne | {{BEL}} | for his work on mixed Hodge theory; the Weil conjectures; the Riemann-Hilbert correspondence; and for his contributions to arithmetic. |
Phillip A. Griffiths | {{USA}} | 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 | {{USA}} | 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. |
2009 | No award |
2010 | Shing-Tung Yau | {{USA}} {{CHN}} | for his work in geometric analysis that has had a profound and dramatic impact on many areas of geometry and physics. |
Dennis P. Sullivan | {{USA}} | for his innovative contributions to algebraic topology and conformal dynamics. |
2011 | No award |
2012 | Michael Aschbacher | {{USA}} | for his work on the theory of finite groups. |
Luis Caffarelli | {{ARG}} {{USA}} | for his work on partial differential equations. |
2013 | George D. Mostow | {{USA}} | for his fundamental and pioneering contribution to geometry and Lie group theory. |
Michael Artin | {{USA}} | for his fundamental contributions to algebraic geometry. His mathematical accomplishments are astonishing for their depth and their scope. |
2014 | Peter Sarnak | {{ZAF}} {{USA}} | for his deep contributions in analysis, number theory, geometry, and combinatorics. |
2015 | James G. Arthur | {{CAN}} | for his monumental work on the trace formula and his fundamental contributions to the theory of automorphic representations of reductive groups. |
2016 | No award |
2017 | Richard Schoen | {{USA}} | for his contributions to geometric analysis and the understanding of the interconnectedness of partial differential equations and differential geometry. |
Charles Fefferman | {{USA}} | for his contributions in a number of mathematical areas including complex multivariate analysis, partial differential equations and sub-elliptical problems. |
2018 | Alexander Beilinson | {{RUS}} {{USA}} | for their work that has made significant progress at the interface of geometry and mathematical physics. |
Vladimir Drinfeld | {{UKR}} {{USA}} |
2019 | Jean-Francois Le Gall | {{FRA}} | for his several deep and elegant contributions to the theory of stochastic processes. |
Gregory Lawler | {{USA}} | for his comprehensive and pioneering research on erased loops and random walks.[3] |
1. ^{{cite book|author=IREG Observatory on Academic Ranking and Excellence|title=IREG List of International Academic Awards|publisher=IREG Observatory on Academic Ranking and Excellence|location=Brussels|url=http://ireg-observatory.org/en/pdfy/IREG-list-academic-awards-EN.pdf|accessdate=3 March 2018}}
2. ^{{cite journal|last1=Zheng|first1=Juntao|last2=Liu|first2=Niancai|title=Mapping of important international academic awards|journal=Scientometrics|date=2015|volume=104|pages=763–791|doi=10.1007/s11192-015-1613-7}}
3. ^Wolf Prize 2019 - Mathematics