# Wolf Prize in Mathematics

The **Wolf Prize in Mathematics** is awarded almost annually^{[a]} by the Wolf Foundation in Israel. It is one of the six Wolf Prizes established by the Foundation and awarded since 1978; the others are in Agriculture, Chemistry, Medicine, Physics and Arts. Until the establishment of the Abel Prize, the Prize was probably the closest equivalent of a "Nobel Prize in Mathematics", since the Fields Medal is awarded every four years only to mathematicians under the age of 40.

## Laureates[edit]

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 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 | 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 Krein | Soviet Union | for his fundamental contributions to functional analysis and its applications. | |

1983/4 | Shiing-Shen Chern | United States (Chinese American) |
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 | West Germany 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 Hungary | for his outstanding contributions to many areas of analysis and applied mathematics. | |

1988 | Friedrich Hirzebruch | West 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 | 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 | Hungary 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 | United States 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 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. | |

2009 | No award | ||

2010 | Shing-Tung Yau | United States (Chinese American ^{[b]}) |
for his work in geometric analysis that has had a profound and dramatic impact on many areas of geometry and physics. |

Dennis P. Sullivan | United States | for his innovative contributions to algebraic topology and conformal dynamics. | |

2011 | No award | ||

2012 | Michael Aschbacher | United States | for his work on the theory of finite groups. |

Luis Caffarelli | Argentina United States |
for his work on partial differential equations. | |

2013 | George D. Mostow | United States | for his fundamental and pioneering contribution to geometry and Lie group theory. |

Michael Artin | United States | for his fundamental contributions to algebraic geometry. His mathematical accomplishments are astonishing for their depth and their scope. | |

2014 | Peter Sarnak | South Africa United States |
for his deep contributions in analysis, number theory, geometry, and combinatorics. |

2015 | James G. Arthur | Canada | 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 | United States | for his contributions to geometric analysis and the understanding of the interconnectedness of partial differential equations and differential geometry. |

Charles Fefferman | United States | for his contributions in a number of mathematical areas including complex multivariate analysis, partial differential equations and sub-elliptical problems. |

## Notes[edit]

**^**The Wolf Foundation website describes the prize as annual; however, some prizes are split across years, while in some years no prize is awarded.**^**Yau received American citizenship in 1990. The People's Republic of China does not recognize dual nationality.