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Encyclopedia > William Thurston
William Thurston
William Thurston

William Paul Thurston (born October 30, 1946) is an American mathematician. He was born in Washington, D.C and received his bachelors degree from New College (now New College of Florida) in 1967 followed by a doctorate from the University of California, Berkeley, in 1972. His Ph.D. advisor was Morris W. Hirsch. Image File history File links Thurston. ... Image File history File links Thurston. ... October 30 is the 303rd day of the year (304th in leap years) in the Gregorian Calendar, with 62 days remaining. ... 1946 (MCMXLVI) was a common year starting on Tuesday. ... This article is in need of attention from an expert on the subject. ... ... New College of Florida State University System of Florida FAMU FAU FGCU FIU FSU NCF UCF UF UNF USF UWF New College of Florida is a small, nationally recognized, public liberal arts college, located in Sarasota on the former Charles Ringling estate. ... 1967 (MCMLXVII) was a common year starting on Sunday of the Gregorian calendar. ... University of California, Berkeley The University of California, Berkeley (also known as California, Cal, UCB, UC Berkeley, The University of California, or simply Berkeley) is a public, coeducational university situated east of the San Francisco Bay in Berkeley, California, overlooking the Golden Gate. ... 1972 (MCMLXXII) was a leap year that started on a Saturday. ...


He is currently a professor at Cornell University. Previously he was at UC Davis, from 1996 to 2003. In the interim, he has taught both at Berkeley and Princeton. His Ph.D. students include Richard Canary, David Gabai, Jeff Weeks, Craig Hodgson, Steven Kerckhoff, Yair Minsky, Robert Meyerhoff, Oded Schramm, William Goldman, and Richard Schwartz. Cornell University is a research university whose main campus is located on the East Hill of Ithaca, New York, and whose two medical campuses are located in New York City and in Education City, Qatar, near Doha. ... The University of California, Davis, commonly known as UC Davis, is one of the ten University of California campuses. ... Princeton University, incorporated as The Trustees of Princeton University, located in Princeton, New Jersey, is the fourth-oldest institution to conduct higher education in the United States. ... Jeffrey Renwick Weeks is an American mathematician. ... This page meets Wikipedias criteria for speedy deletion. ... William Goldman is a professor of mathematics at the University of Maryland, College Park. ... Richard Schwartz is currently a professor of Mathematics at the University of Maryland. ...


In 1982, he was awarded the Fields medal for the depth and originality of his contributions to mathematics. His fresh insights have linked many apparently disparate fields to 3-manifolds. Thurston's geometrization conjecture (and all it entails) revolutionized 3-manifold theory, reviving hyperbolic geometry. His early work was mainly in foliation theory, where he proved, amongst other things, that any n-manifold with Euler characteristic zero has a codimension one foliation. 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. ... In mathematics, a 3-manifold is a 3-dimensional manifold. ... The geometrization conjecture, also known as Thurstons geometrization conjecture, concerns the geometric structure of compact 3-manifolds. ... A triangle immersed in a saddle-shape plane (an hyperbolic paraboloid), as well as two diverging parallel lines. ... In mathematics, informally speaking, a foliation is a kind of clothing worn on a manifold, cut from a stripy fabric. ... In algebraic topology, the Euler characteristic is a topological invariant (in fact, homotopy invariant) defined for a broad class of topological spaces. ...


Thurston has turned his attention in recent years to mathematical education and bringing mathematics to the general public. He has served as mathematics editor for Quantum magazine, a youth science magazine, and as head of the University of Minnesota Geometry Center. As director of Mathematical Sciences Research Institute from 1992 to 1997, he initiated a number of programs designed to increase awareness of mathematics among the public. The Mathematical Sciences Research Institute (MSRI), founded in 1982, is a mathematical research institution whose funding sources include the National Science Foundation. ...


See also

  • Nielsen-Thurston classification
  • Hyperbolic Dehn surgery
  • Jorgensen-Thurston theorem

In mathematics, Thurstons classification theorem characterizes homeomorphisms of a compact surface. ...

External links


The University of St Andrews was founded between 1410 and 1413 and is the oldest university in Scotland (and third oldest in the English speaking world after Oxford and Cambridge ). The university is situated in the Royal Burgh of St Andrews, on the east coast of Scotland. ...

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. ... Vladimir Voevodsky (Russian: Владимир Воеводский) (born June 4, 1966) is a Russian 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. ... 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. ... -1... 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 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 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). ... Shing-Tung Yau at Harvard Law School dining hall Shing-Tung Yau (丘成桐; 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 (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. ... 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 (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. ... 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. ... 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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  Results from FactBites:
 
William Thurston - Wikipedia, the free encyclopedia (277 words)
William Paul Thurston (born October 30, 1946) is an American mathematician.
Thurston's geometrization conjecture (and all it entails) revolutionized 3-manifold theory, reviving hyperbolic geometry.
Thurston has turned his attention in recent years to mathematical education and bringing mathematics to the general public.
  More results at FactBites »


 

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