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Encyclopedia > Alain Connes

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). He is a specialist of Von Neumann algebras and succeeded in completing the classification of factors of these objects. April 1 is the 91st day of the year (92nd in leap years) in the Gregorian calendar, with 274 days remaining. ... 1947 (MCMXLVII) was a common year starting on Wednesday (the link is to a full 1947 calendar). ... This article is in need of attention from an expert on the subject. ... The Coll ge de France is a higher education teaching and research establishment located in Paris, France. ... The Eiffel Tower has become a symbol of Paris throughout the world Paris is the capital and largest city of France, as well as the capital of the ÃŽle-de-France région, whose territory encompasses Paris and its suburbs. ... IHÉS main building The Institut des Hautes Études Scientifiques (I.H.É.S.) is a French institute supporting advanced research in mathematics and theoretical physics. ... Bures-sur-Yvette is a French commune, located in the Essonne département in the Île_de_France région. ... Vanderbilt University (colloquially known as Vandy) is a private, nonsectarian, coeducational research university in Nashville, Tennessee. ... For other cities named Nashville, see Nashville (disambiguation). ... Official language(s) English Capital Nashville Largest city Memphis Area  - Total  - Width  - Length  - % water  - Latitude  - Longitude Ranked 36th 109,247 km² 195 km 710 km 2. ... A von Neumann algebra is a *-algebra of bounded operators on a Hilbert space which is closed in the weak operator topology, or equivalently, in the strong operator topology (under pointwise convergence) and contains the identity operator. ... A factor can be: a person acting for another as a mercantile and/or colonial agent, or, in Scotland, a Factor is a person or firm managing property on behalf of the owner; in mathematics, a multiplicative factor is a synonym for coefficient a number that is a divisor of...

The remarkable links between this subject, the tools he and others devised to tackle the problem and other subjects in theoretical physics, particle physics, and differential geometry, made him emphasize Noncommutative geometry (which is also the title of his major book to date). Theoretical physics employs mathematical models in an attempt to understand Nature. ... Particles erupt from the collision point of two relativistic (100GeV) gold ions in the STAR detector of the Relativistic Heavy Ion Collider. ... In mathematics, differential topology is the field dealing with differentiable functions on differentiable manifolds. ... In mathematics, there is a close relationship between spaces, which are geometric in nature, and the numerical functions on them. ...

He was awarded the Fields Medal in 1982, the Crafoord Prize in 2001 and the gold medal of the CNRS in 2004. 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. ... 1982 (MCMLXXXII) was a common year starting on Friday of the Gregorian calendar. ... The Crafoord Prize was established in 1980 by Holger Crafoord, the inventor of the artificial kidney, and his wife Anna-Greta Crafoord. ... 2001: A Space Odyssey. ... The Centre National de la Recherche Scientifique (CNRS) is one of the most prominent scientific research institutions in France. ...

See also

In mathematics, cyclic homology is an aspect of homological algebra. ... A von Neumann algebra is a *-algebra of bounded operators on a Hilbert space which is closed in the weak operator topology, or equivalently, in the strong operator topology (under pointwise convergence) and contains the identity operator. ... The Higgs boson is a hypothetical massive scalar elementary particle predicted to exist by the Standard Model of particle physics. ... C*-algebras are an important area of research in functional analysis. ... M-theory (sometimes also called U-theory) is a theory of physics, which is believed to incorporate and generalize the various superstring theories. ... In mathematics, especially in category theory and homotopy theory, a groupoid is a concept (first developed by Heinrich Brandt in 1926) that simultaneously generalises groups, equivalence relations on sets, and actions of groups on sets. ...

External links

  • Alain Connes Official Web Site
  • John J. O'Connor and Edmund F. Robertson. Alain Connes at the MacTutor archive.

BITCH!111 ...

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 the Institute for Advanced Study 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. ... 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 (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, 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. ... 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) is one of the most important mathematicians of 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. ...


  Results from FactBites:
Alain Connes, honorary doctor 2000 - The University of Oslo (336 words)
For several years, Alain Connes has been one of the world-leading mathematicians.
Professor Connes worked almost exclusively, during the years 1971-1982, on operator algebras - a branch of functional analysis which arose from the study of quantum mechanics and group representations in the 1930’s.
At about the same time, Connes started to study differential geometry, and for the next 5 years his research was divided between geometry and operator algebras.
News (687 words)
NASHVILLE, Tenn. – Alain Connes, widely considered to be one of the three most influential living mathematicians, has accepted a position of distinguished professor at Vanderbilt, enabling the University to become a base for training new mathematicians to fill the ranks left vacant by a retiring generation of scholars.
Under the arrangement, Connes, who is a professor of mathematics at the College de France and holds the Motchane Chair at l'Institut des Hautes Études Scientifiques in France, will spend several weeks each spring in Nashville to collaborate with members of the Vanderbilt math department and participate in an annual workshop for young mathematicians.
In 1982, Connes received the Fields Medal, the highest award given by the international mathematics community, and in 2001 he was awarded the $500,000 Crafoord Prize by the Royal Swedish Academy of Sciences.
  More results at FactBites »



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