Alain Connes
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| Alain Connes | |
|---|---|
| Image:Replace this image male.svg | |
| Born | April 1 1947 France |
| Residence | Image:Flag of France.svg France |
| Citizenship | Image:Flag of France.svg French |
| Field | Mathematics |
| Institutions | IHES, France |
| Alma mater | École Normale Supérieure, France |
| Academic advisor | Jacques Dixmier |
| Notable students | Alain Valette Georges Skandalis Benjamin Enriquez |
| Known for | Baum–Connes conjecture Noncommutative geometry Operator algebras |
| Notable prizes | Fields Medal (1982) Crafoord Prize (2001) CNRS Gold Medal (2004) |
Alain Connes (born April 1, 1947) is a French mathematician, currently Professor at the College de France, IHES and Vanderbilt University.
Contents |
[edit] Work
Alain Connes is one of the leading specialists on operator algebras. In his early work on von Neumann algebras in the 1970s, he succeeded in obtaining the almost complete classification of injective factors. Following this he made contributions in operator K-theory and index theory, which culminated in the Baum-Connes conjecture. He also introduced cyclic cohomology in the early 1980s as a first step in the study of noncommutative differential geometry.
Connes has applied his work in areas of mathematics and theoretical physics, including number theory, differential geometry and particle physics.
[edit] Awards and honours
Connes was awarded the Fields Medal in 1982, the Crafoord Prize in 2001 and the gold medal of the CNRS in 2004. He is a member of the French Academy of Sciences and several foreign academies and societies, including the Danish Academy of Sciences, Norwegian Academy of Sciences, Russian Academy of Sciences, and US National Academy of Sciences.
[edit] See also
[edit] External links
- Alain Connes Official Web Site containing downloadable papers, and his book Non-commutative geometry, ISBN 0-12-185860-X.
- O'Connor, John J; Edmund F. Robertson "Alain Connes". MacTutor History of Mathematics archive.
- Alain Connes at the Mathematics Genealogy Project
Fields Medalists |
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Ahlfors / Douglas (1936) • Schwartz / Selberg (1950) • Kodaira / Serre (1954) • Roth / Thom (1958) • Hörmander / Milnor (1962) • Atiyah / Cohen / Grothendieck / Smale (1966) • Baker / Hironaka / Novikov / Thompson (1970) • Bombieri / Mumford (1974) • Deligne / Fefferman / Margulis / Quillen (1978) • Connes / Thurston / Yau (1982) • Donaldson / Faltings / Freedman (1986) • Drinfel'd / Jones / Mori / Witten (1990) • Zelmanov / Lions / Bourgain / Yoccoz (1994) • Borcherds / Gowers / Kontsevich / McMullen (1998) • Lafforgue / Voevodsky (2002) • Okounkov / Perelman / Tao / Werner (2006) |
de:Alain Connes es:Alain Connes fr:Alain Connes ko:알랭 콘느 it:Alain Connes ja:アラン・コンヌ pl:Alain Connes fi:Alain Connes zh:阿蘭·科納
Categories: Articles with peacock terms | 20th century mathematicians | 21st century mathematicians | Collège de France faculty | French mathematicians | Fields Medalists | Mathematical analysts | Differential geometers | Alumni of the École Normale Supérieure | Vanderbilt University faculty | Members and associates of the United States National Academy of Sciences | Members of the Russian Academy of Sciences | 1947 births | Living people | Members of the French Academy of Sciences
