The Fields Medal, considered the Nobel Prize of math, has been awarded quadrennially since 1936 by the International Congress of Mathematicians to recognize outstanding mathematics achievement.
| 1936 | Lars Valerian Ahlfors (Harvard University) and Jesse Douglas (Massachusetts Institute of Technology) |
| (Fields Medals were not awarded during World War II) | |
| 1950 | Laurent Schwarts (University of Nancy) and Atle Selberg (Institute for Advanced Study, Princeton) |
| 1954 | Kunihiko Kodaira (Princeton University) and Jean-Pierre Serre (University of Paris) |
| 1958 | Klaus Friedrich Roth (University of London) and René Thom (University of Strasbourgh) |
| 1962 | Lars V. Hörmander (University of Stockholm) and John Willard Milnor (Princeton University) |
| 1966 | Michael Francis Atiyah (Oxford University), Paul Joseph Cohen (Stanford University), Alexander Grothendieck (University of Paris), and Stephen Smale (University of California, Berkeley) |
| 1970 | Alan Baker (Cambridge University), Heisuke Hironaka (Harvard University), Serge P. Novikov (Moscow University), and John Griggs Thompson (Cambridge University) |
| 1974 | Enrico Bombieri (University of Pisa) and David Bryant Mumford (Harvard University) |
| 1978 | Pierre René Deligne (Institut des Hautes Études Scientifiques), Charles Louis Fefferman (Princeton University), Gregori Alexandrovitch Margulis (Moscow University), and Daniel G. Quillen (Massachusetts Institute of Technology) |
| 1982 | Alain Connes (Institut des Hautes Études Scientifiques), William P. Thurston (Princeton University), and Shing-Tung Yau (Institute for Advanced Study, Princeton) |
| 1986 | Simon Donaldson (Oxford University), Gerd Faltings (Princeton University), and Michael Freedman (University of California, San Diego) |
| 1990 | Vladimir Drinfeld (Phys. Inst. Kharkov), Vaughan Jones (University of California, Berkeley), Shigefumi Mori (University of Kyoto), and Edward Witten (Institute for Advanced Study, Princeton) |
| 1994 | Pierre-Louis Lions (University of Paris–Dauphine), Jean-Christophe Yoccoz (University of Paris–Sud), Jean Bourgain (Institute for Advanced Study, Princeton), and Efim Zelmanov (University of Wisconsin) |
| 1998 | Richard E. Borcherds (Cambridge University), William T. Gowers (Cambridge University), Maxim Kontsevich (Institut des Hautes Études Scientifiques and Rutgers University), and Curtis T. McMullen (Harvard University) |
| 2002 | Laurent Lafforgue (Institut des Hautes Études Scientifiques) and Vladimir Voevodsky (Institute for Advanced Study, Princeton) |
| 2006 | Andrei Okounkov (Princeton University), Grigori Perelman* (St. Petersburg, Russia), Terence Tao (University of California, Los Angeles), and Wendelin Werner (University of Paris–South) |
*Declined to accept the medal.
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