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Alain Connes
Alain Connes (; born 1 April 1947) is a French mathematician, currently Professor at the Collège de France, IHÉS, The Ohio State University and Vanderbilt University. He was an Invited Professor at the Conservatoire national des arts et métiers (2000).〔Alain Connes, « Géométrie non-commutative », ''Université de tous les savoirs'', 4, 175-190, Editions Odile Jacob, 2001.〕
==Work==
Alain Connes studies 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. He was a member of Bourbaki.〔.〕
Connes has applied his work in areas of mathematics and theoretical physics, including number theory, differential geometry and particle physics.〔(Scientific Americain, ''The Geometer of Particle Physics'', 24 July 2006 )〕
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