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Vladimir Voevodsky (Russian: Владимир Воеводский) (born June 4, 1966) is a Russian mathematician. His work in developing a homotopy theory for algebraic varieties and formulating motivic cohomology led to the award of a Fields Medal in 2002. June 4 is the 155th day of the year in the Gregorian calendar (156th in leap years), with 210 days remaining. ...
1966 (MCMLXVI) was a common year starting on Saturday (link goes to calendar) // Events January January 1 - In a coup, Colonel Jean-Bédel Bokassa ousts president David Dacko and takes over the Central African Republic. ...
This article is in need of attention from an expert on the subject. ...
An illustration of a homotopy between the two bold paths In topology, two continuous functions from one topological space to another are called homotopic (Greek homeos = identical and topos = place) if one can be continuously deformed into the other, such a deformation being called a homotopy between the two functions. ...
This article is about algebraic varieties. ...
Motivic cohomology is a homological theory in mathematics, the existence of which was first conjectured by Grothendieck during the 1960s. ...
The Fields Medal is a prize awarded to up to four mathematicians (not over forty years of age) at each International Congress of International Mathematical Union (therefore once every four years), since 1936 and regularly since 1950 at the initiative of the Canadian mathematician John Charles Fields. ...
Biography Voevodsky received his Ph. D. in mathematics from Harvard University in 1992. Currently he is a full professor at the Institute for Advanced Study in Princeton, New Jersey. Doctor of Philosophy (Ph. ...
Harvard University, incorporated as The President and Fellows of Harvard College, is a private university in Cambridge, Massachusetts, USA and a member of the Ivy League. ...
1992 (MCMXCII) was a leap year starting on Wednesday. ...
Fuld Hall The Institute for Advanced Study is a private institution in Princeton Township, New Jersey, U.S.A. (although it is not part of Princeton University), designed to foster pure cutting-edge research by scientists in a variety of fields without the complications of teaching or funding, or the...
See also: the Borough of Princeton, New Jersey Princeton Township highlighted in Mercer County. ...
Official language(s) None defined, English de facto Capital Trenton Largest city Newark Area - Total - Width - Length - % water - Latitude - Longitude Ranked 47th 22,608 km² 110 km 240 km 14. ...
Voevodsky's work is in the field of algebraic geometry. However, that field has always benefited from techniques introduced from algebraic topology. Voevodsky contributed to this by introducing a homotopy theory for algebraic varieties. He also formulated what is now believed to be the 'correct' form of motivic cohomology, and used this new tool to prove Milnor's conjecture relating the Milnor K-theory of a field to its étale cohomology. For the above, he received the Fields Medal, together with Laurent Lafforgue, at the 24th International Congress of Mathematicians held in Beijing, China. Algebraic geometry is a branch of mathematics which, as the name suggests, combines abstract algebra, especially commutative algebra, with geometry. ...
Algebraic topology is a branch of mathematics in which tools from abstract algebra are used to study topological spaces. ...
Laurent Lafforgue (born November 6, 1966) is a French mathematician. ...
ⶠ(help· info) or Peking is the capital of the Peoples Republic of China (PRC). ...
He is coauthor (with Andrei Suslin and Eric M. Friedlander) of Cycles, Transfers and Motivic Homology Theories (Princeton University Press, 2000), which develops the theory of motivic cohomology in some detail. This article is about the year 2000. ...
References - Friedlander, Eric M., Rapoport, Michael, and Suslin, Andrei. (2003) "The mathematical work of the 2002 Fields medalists". Notices Amer. Math. Soc. 50 (2), 212–217.
- Voevodsky, Vladimir, Suslin, Andrei, and Friedlander, Eric M. (2000) Cycles, transfers, and motivic homology theories. Annals of Mathematics Studies Vol. 143. Princeton University Press.
| Fields Medalists | | 2002: Lafforgue | Voevodsky || 1998: Borcherds | Gowers | Kontsevich | McMullen || 1994: Zelmanov | Lions | Bourgain | Yoccoz || 1990: Drinfeld | Jones | Mori | Witten 1986: Donaldson | Faltings | Freedman || 1982: Connes | Thurston | Yau || 1978: Deligne | Fefferman | Margulis | Quillen || 1974: Bombieri | Mumford 1970: Baker | Hironaka | Novikov | Thompson || 1966: Atiyah | Cohen | Grothendieck | Smale || 1962: Hörmander | Milnor || 1958: Roth | Thom || 1954: Kodaira | Serre 1950: Schwartz | Selberg || 1936: Ahlfors | Douglas The Fields Medal is a prize awarded to up to four mathematicians (not over forty years of age) at each International Congress of International Mathematical Union (therefore once every four years), since 1936 and regularly since 1950 at the initiative of the Canadian mathematician John Charles Fields. ...
Laurent Lafforgue (born November 6, 1966) 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: ÐакÑим ÐонÑевиÑ) (born August 25, 1964) is a Russian mathematician. ...
Curtis T McMullen (born 21 May 1958) is Professor of Mathematics at Harvard University. ...
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. ...
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Jean Bourgain (born February 28, 1954, Ostende, Belgium), is a professor of mathematics at the Institute for Advanced Study. ...
Jean-Christophe Yoccoz (born May 29, 1957) is a French mathematician. ...
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 éæ 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 at Harvard University Edward Witten (born August 26, 1951) is an American mathematical physicist, Fields Medalist, and professor at the Institute for Advanced Study. ...
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 (born 28 July 1954) is a German 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. ...
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 (䏿æ¡; Pinyin: QÄ«u Chéngtóng; born April 4, 1949) is a prominent mathematician working in differential geometry, and involved in the theory of Calabi-Yau manifolds. ...
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. ...
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. ...
Alan Baker (born on August 19, 1939) is an English mathematician. ...
Heisuke Hironaka (åºä¸ å¹³ç¥ Hironaka Heisuke, born April 9, 1931) is a Japanese mathematician. ...
Sergei Petrovich Novikov (also Serguei) (Russian: СеÑгей ÐеÑÑÐ¾Ð²Ð¸Ñ Ðовиков) (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. ...
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) was one of the most important mathematicians active in the 20th century. ...
Stephen Smale (born July 15, 1930) is an American mathematician and winner of the Fields Medal in 1966. ...
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. ...
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. ...
Kunihiko Kodaira (å°å¹³ é¦å½¦ Kodaira Kunihiko, 16 March 1915 â 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. ...
Laurent Schwartz (5 March 1915 â 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. ...
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. ...
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