1936: Ahlfors • Douglas | 1950: Schwartz • Selberg | 1954: Kodaira • Serre | 1958: Roth • Thom | 1962: Hörmander • Milnor | 1966: Atiyah • Cohen • Grothendieck • Smale | 1970: Baker • Hironaka • Novikov • Thompson | 1974: Bombieri • Mumford | 1978: Deligne • Fefferman • Margulis • Quillen | 1982: Connes • Thurston • Yau | 1986: Donaldson • Faltings • Freedman | 1990: Drinfeld • Jones • Mori • Witten | 1994: Zelmanov • Lions • Bourgain • Yoccoz | 1998: Borcherds • Gowers • Kontsevich • McMullen | 2002: Lafforgue • Voevodsky | 2006: Okounkov • Perelman • Tao • Werner The Fields Medal is a prize awarded to two, three, or four mathematicians not over 40 years of age at each International Congress of the International Mathematical Union, a meeting that takes place every four years. ... Lars Valerian Ahlfors (April 18, 1907 - October 11, 1996) was a Finnish mathematician, remembered for his work in the field of Riemann surfaces and his text on complex analysis. ... Jesse Douglas (July 3, 1897 - October 7, 1965) was an American mathematician. ... Laurent Schwartz (5 March 1915 – 4 July 2002 in Paris) was a French mathematician. ... Atle Selberg (born June 17, 1917) is a Norwegian mathematician known for his work in analytic number theory, and in the theory of automorphic forms, in particular bringing them into relation with spectral theory. ... Kunihiko Kodaira (小平 邦彦 Kodaira Kunihiko, 16 March 1915 – 26 July 1997) was a Japanese mathematician known for distinguished work in algebraic geometry and the theory of complex manifolds; and as the founder of the Japanese school of algebraic geometers. ... Jean-Pierre Serre (born September 15, 1926) is one of the leading mathematicians of the twentieth century, active in algebraic geometry, number theory and topology. ... Klaus Friedrich Roth (Roth is pronounced ROW-th) (29 October 1925) is a British mathematician known for work on diophantine approximation, the large sieve, and irregularities of distribution. ... René Thom (September 2, 1923 - October 25, 2002) was a French mathematician and founder of the catastrophe theory. ... Lars Hörmander Lars Valter Hörmander (born 24 January 1931) is a Swedish mathematician and one of the leading experts in partial differential equations. ... John Willard Milnor (b. ... Sir Michael Francis Atiyah, OM, FRS (born 22 April 1929) is a mathematician who was born in London. ... Paul Joseph Cohen (born April 2, 1934) is an American mathematician. ... Alexander Grothendieck (Berlin, March 28, 1928) is one of the most important mathematicians of the 20th century. ... Stephen Smale Stephen Smale (born July 15, 1930) is an American mathematician from Flint, Michigan, and winner of the Fields Medal in 1966. ... Alan Baker (born on August 19, 1939) is an English mathematician. ... Heisuke Hironaka (広中 平祐 Hironaka Heisuke, born April 9, 1931) is a Japanese mathematician. ... Sergei Petrovich Novikov (also Serguei) (Russian: Сергей Петрович Новиков) (born 20 March 1938) is a Russian mathematician, noted for work in both algebraic topology and soliton theory. ... John Griggs Thompson (born 13 Oct 1932) is a mathematician noted for his work in the field of finite groups. ... Enrico Bombieri (born November 26, 1940) is a Italian mathematician, born in Milan. ... David Bryant Mumford (born 11 June 1937) is an American mathematician known for distinguished work in algebraic geometry, and then for research into vision and pattern theory. ... Pierre Deligne, March 2005 Pierre Deligne (born 3 October 1944) is a Belgian mathematician. ... Charles Louis Fefferman (born April 18, 1949) is a renowned mathematician at Princeton University. ... Gregori Aleksandrovich Margulis (first name often given as Gregory, Grigori or Grigory) (born February 24, 1946) is a mathematician known for his far-reaching work on lattices in Lie groups, and the introduction of methods from ergodic theory into diophantine approximation. ... Daniel Quillen (born June 21, 1940) is an American mathematician, a Fields Medallist, and the current Waynflete Professor of Pure Mathematics at Magdalen College, Oxford. ... Alain Connes (born April 1, 1947) is a French mathematician, currently Professor at the College de France (Paris, France), IHES (Bures-sur-Yvette, France) and Vanderbilt University (Nashville, Tennessee). ... William Thurston William Paul Thurston (born October 30, 1946) is an American mathematician. ... Shing-Tung Yau at Harvard Law School dining hall Shing-Tung Yau (Chinese: ; pinyin: ; born April 4, 1949) is a prominent mathematician working in differential geometry, and involved in the theory of Calabi-Yau manifolds. ... Simon Kirwan Donaldson, born in Cambridge in 1957, is a mathematician famous for his work on exotic four-dimensional spaces in differential geometry using instantons, and the discovery of new differential invariants. ... Gerd Faltings, June 2006 Gerd Faltings (born July 28, 1954 in Gelsenkirchen-Buer) is a German Lutheran mathematician known for his work in arithmetic algebraic geometry. ... Michael Hartley Freedman (born 21 April 1951 in Los Angeles, California, USA) is a mathematician at Microsoft Research. ... Vladimir Gershonovich Drinfeld (Владимир Гершонович Дринфельд) is a mathematician born February 14, 1954 in Ukraine. ... Vaughan Frederick Randal Jones (born 31 December 1952) is a New Zealand mathematician, known for his work on von Neumann algebras, knot polynomials and conformal field theory. ... Shigefumi Mori (森 重文 Mori Shigefumi, born February 23, 1951) is a Japanese mathematician, known for his work in algebraic geometry, particularly in relation to the classification of three-folds. ... Edward Witten Edward Witten (born August 26, 1951) is an American mathematical physicist, Fields Medalist, and professor at the Institute for Advanced Study. ... Efim Isaakovich Zelmanov (born September 7, 1955) is a mathematician, known for his work on combinatorial problems in nonassociative algebra and group theory, including his solution of the restricted Burnside problem. ... Pierre-Louis Lions (August 11, 1956 - ) is a French mathematician. ... Jean Bourgain (born Ostend, February 28, 1954), is a professor of mathematics at the Institute for Advanced Study. ... Jean-Christophe Yoccoz (born May 29, 1957) is a French mathematician. ... Richard Ewen Borcherds (born November 29, 1959) is a mathematician specializing in group theory and Lie algebras. ... William Timothy Gowers (born November 20, 1963, Wiltshire, United Kingdom) is a British mathematician. ... Maxim Kontsevich (Russian: Максим Концевич) (born August 25, 1964) is a Russian mathematician. ... Curtis T McMullen (born 21 May 1958) is Professor of Mathematics at Harvard University. ... Laurent Lafforgue (born November 6, 1966, in Antony, France) is a French mathematician. ... Vladimir Voevodsky (Russian: Владимир Воеводский) (born June 4, 1966) is a Russian mathematician. ... Andrei Okounkov (Russian: Андрей Окуньков, Andrej Okunkov) (born 1969) is a mathematician who works on representation theory and its applications to algebraic geometry, mathematical physics, probability theory and special functions. ... Grigori Yakovlevich Perelman (Russian: ), born 13 June 1966 in Leningrad, USSR (now St. ... Terence Chi-Shen Tao (Chinese: ; Cantonese Yale: tòuh jit hÄ«n; Pinyin: Táo Zhéxuān), is an Australian mathematician working primarily on harmonic analysis, partial differential equations, combinatorics, analytic number theory and representation theory. ...