64 Fields Medalists (1936–2022)
1936年の創設から2022年 歴代フィールズ賞受賞者64名
Chronological List of All Fields Medalists (1936–2022)
1936 (Oslo, Norway)
- Lars Ahlfors (Finland | b. 1907)
- Publication: “Zur Theorie der Überlagerungsflächen” (1935)
- Jesse Douglas (USA | b. 1897)
- Publication: “Solution of the problem of Plateau” (1931)
1950 (Cambridge, USA)
- Laurent Schwartz (France | b. 1915)
- Publication: Théorie des distributions (1950)
- Atle Selberg (Norway | b. 1917)
- Publication: “An elementary proof of the prime-number theorem” (1949)
1954 (Amsterdam, Netherlands)
- Kunihiko Kodaira (Japan | b. 1915)
- Publication: “On a differential-geometric method in the theory of analytic stacks” (1953)
- Jean-Pierre Serre (France | b. 1926)
- Publication: “Homologie singulière des espaces fibrés” (1951)
1958 (Edinburgh, UK)
- Klaus Roth (UK | b. 1925)
- Publication: “Rational approximations to algebraic numbers” (1955)
- René Thom (France | b. 1927)
- Publication: “Quelques propriétés globales des variétés différentiables” (1954)
1962 (Stockholm, Sweden)
- Lars Hörmander (Sweden | b. 1931)
- Publication: “On the theory of general partial differential operators” (1955)
- John Milnor (USA | b. 1931)
- Publication: “On manifolds homeomorphic to the 7-sphere” (1956)
1966 (Moscow, USSR)
- Michael Atiyah (UK | b. 1929)
- Publication: “The Index of Elliptic Operators: I” (1963, with I. Singer)
- Paul Cohen (USA | b. 1934)
- Publication: “The independence of the continuum hypothesis” (1963)
- Alexander Grothendieck (France / Stateless | b. 1928)
- Publication: Éléments de géométrie algébrique (EGA, 1960–1967)
- Stephen Smale (USA | b. 1930)
- Publication: “Generalized Poincaré’s conjecture in dimensions greater than four” (1961)
1970 (Nice, France)
- Alan Baker (UK | b. 1939)
- Publication: “Linear forms in the logarithms of algebraic numbers” (1966)
- Heisuke Hironaka (Japan | b. 1931)
- Publication: “Resolution of singularities of an algebraic variety over a field of characteristic zero” (1964)
- Sergei Novikov (USSR | b. 1938)
- Publication: “Homotopical properties of algebraic manifolds” (1970)
- John G. Thompson (USA | b. 1932)
- Publication: “Solvability of groups of odd order” (1963, with W. Feit)
1974 (Vancouver, Canada)
- Enrico Bombieri (Italy | b. 1940)
- Publication: “On the large sieve” (1965)
- David Mumford (USA | b. 1937)
- Publication: Geometric Invariant Theory (1965)
1978 (Helsinki, Finland)
- Pierre Deligne (Belgium | b. 1944)
- Publication: “La conjecture de Weil: I” (1974)
- Charles Fefferman (USA | b. 1949)
- Publication: “The multiplier problem for the ball” (1971)
- Gregori Margulis (USSR | b. 1946)
- Publication: “Arithmetic properties of discrete subgroups” (1974)
- Daniel Quillen (USA | b. 1940)
- Publication: “Higher algebraic K-theory: I” (1973)
1982 (Warsaw, Poland – held in 1983)
- Alain Connes (France | b. 1947)
- Publication: “A classification of injective factors” (1976)
- William Thurston (USA | b. 1946)
- Publication: “Three-dimensional manifolds, Kleinian groups and hyperbolic geometry” (1982)
- Shing-Tung Yau (USA / Hong Kong | b. 1949)
1986 (Berkeley, USA)
- Simon Donaldson (UK | b. 1957)
- Publication: “An application of gauge theory to four-dimensional topology” (1983)
- Gerd Faltings (West Germany | b. 1954)
- Publication: “Endlichkeitssätze für abelsche Varietäten über Zahlkörpern” (1983 – Proof of the Mordell Conjecture)
- Michael Freedman (USA | b. 1951)
- Publication: “The topology of four-dimensional manifolds” (1982)
1990 (Kyoto, Japan)
- Vladimir Drinfeld (USSR | b. 1954)
- Publication: “Quantum groups” (1986)
- Vaughan Jones (New Zealand | b. 1952)
- Publication: “A polynomial invariant for knots via von Neumann algebras” (1985)
- Shigefumi Mori (Japan | b. 1951)
- Publication: “Flip theorem and the existence of minimal models for 3-folds” (1988)
- Edward Witten (USA | b. 1951)
- Publication: “Quantum field theory and the Jones polynomial” (1989)
1994 (Zurich, Switzerland)
- Jean Bourgain (Belgium | b. 1954)
- Pierre-Louis Lions (France | b. 1956)
- Publication: “Viscosity solutions of Hamilton-Jacobi equations” (1983, with M. Crandall)
- Jean-Christophe Yoccoz (France | b. 1957)
- Publication: “Théorème de Siegel, nombres de Brjuno et polynômes quadratiques” (1995 – completed pre-award)
- Efim Zelmanov (Russia | b. 1955)
- Publication: “Solution of the restricted Burnside problem for groups of prime exponent” (1990)
1998 (Berlin, Germany)
- Richard Borcherds (UK | b. 1959)
- Publication: “Monstrous moonshine and monstrous Lie superalgebras” (1992)
- Timothy Gowers (UK | b. 1963)
- Publication: “A new proof of Szemerédi’s theorem” (1998)
- Maxim Kontsevich (Russia | b. 1964)
- Publication: “Intersection theory on the moduli space of curves and the matrix Airy function” (1992)
- Curtis McMullen (USA | b. 1953)
- Publication: “Complex Dynamics and Renormalization” (1994)
2002 (Beijing, China)
- Laurent Lafforgue (France | b. 1966)
- Publication: “Chtoucas de Drinfeld et correspondance de Langlands” (2002)
- Vladimir Voevodsky (Russia / USA | b. 1966)
- Publication: “A^1-homotopy theory” (1998, with F. Morel)
2006 (Madrid, Spain)
- Andrei Okounkov (Russia | b. 1969)
- Publication: “Asymptotics of Plancherel measures for symmetric groups” (2001, with A. Borodin)
- Grigori Perelman (Russia | b. 1966)
- Publication: “The entropy formula for the Ricci flow and its geometric applications” (2002 – Solved the Poincaré Conjecture; declined the medal)
- Terence Tao (Australia | b. 1975)
- Publication: “The primes contain arbitrarily long arithmetic progressions” (2008 – completed pre-award with B. Green)
- Wendelin Werner (France | b. 1968)
- Publication: “Conformal restriction and Brownian excursion” (2003, with G. Lawler and O. Schramm)
2010 (Hyderabad, India)
- Elon Lindenstrauss (Israel | b. 1970)
- Publication: “Invariant measures and arithmetic quantum ergodicity” (2006)
- Ngô Bảo Châu (Vietnam / France | b. 1972)
- Publication: “Le lemme fondamental pour les algèbres de Lie” (2010)
- Stanislav Smirnov (Russia | b. 1970)
- Publication: “Critical percolation in the plane: conformal invariance, Cardy’s formula, scaling limits” (2001)
- Cédric Villani (France | b. 1973)
- Publication: “On Landau damping” (2011 – completed pre-award with C. Mouhot)
2014 (Seoul, South Korea)
- Artur Avila (Brazil / France | b. 1979)
- Publication: “The Ten Martini Problem” (2009, with S. Jitomirskaya)
- Manjul Bhargava (USA / Canada | b. 1974)
- Publication: “Higher composition laws: I” (2004)
- Martin Hairer (Austria | b. 1975)
- Publication: “A theory of regularity structures” (2014)
- Maryam Mirzakhani (Iran | b. 1977)
- Publication: “Growth of the number of simple closed geodesics on hyperbolic surfaces” (2007)
2018 (Rio de Janeiro, Brazil)
- Caucher Birkar (UK / Iran | b. 1978)
- Publication: “Existence of minimal models for varieties of log general type” (2010, with Cascini, Hacon, and McKernan)
- Alessio Figalli (Italy | b. 1984)
- Publication: “A MASS TRANSPORTATION APPROACHTO QUANTITATIVE ISOPERIMETRIC INEQUALITIES” (2010)
- Peter Scholze (Germany | b. 1987)
- Publication: “Perfectoid spaces” (2012)
- Akshay Venkatesh (Australia | b. 1981)
- Publication: “Sparse equidistribution problems, period integrals and Subconvexity” (2010)
2022 (Helsinki, Finland – held virtually/hybrid)
- Hugo Duminil-Copin (France | b. 1985)
- Publication: “Continuity of the phase transition for the analytic Ising model on Z^2” (2016)
- June Huh (USA | b. 1983)
- Publication: “Milnor numbers of algebraic varieties and concavity of Chern classes” (2012)
- James Maynard (UK | b. 1987)
- Publication: “Small gaps between primes” (2015)
- Maryna Viazovska (Ukraine | b. 1984)
- Publication: “The sphere packing problem in dimension 8” (2017)
other useful materials
Bundles, Homotopy, and Manifolds-Ralph L. Cohen