Alain Connes

Alain Connes ( born April 1, 1947 in Draguignan near Cannes, France ) is a French mathematician.

Life and career

Connes is the son of a police chief in Marseille. After completing his studies from 1966 to 1970 at the elite École Normale Supérieure High School (ENS ), he earned his doctorate in 1973 at the CNRS, where he worked scientifically 1970-1974. In 1975 he was a visiting scholar at Queen's University in Kingston. In 1976 he became an assistant professor at the University of Paris VI and appointed professor later. 1978/1979 he was in Princeton at the Institute for Advanced Study. From 1979 he holds the chair Léon Motchane at the Institut des Hautes Études Scientifiques ( IHES ). 1981 to 1984 he was Research Director at the CNRS. Since 1984 he is Professor of Analysis and Geometry at the Collège de France. Since 2003 he is also professor at Vanderbilt University.

He worked for example on von Neumann algebras. The classification of type III factors of these algebras was also the dissertation topic at Jacques Dixmier 1973. He is best known as the founder of Noncommutative Geometry, an essentially created by Him synthesis, in which one considers instead of the underlying spaces defined on them function rings. Are these non- commutative, so that you can examine the underlying non-commutative spaces that are difficult to access otherwise. He turned his theory on the different areas to, of the Riemann Hypothesis number theory up to the standard model of elementary particle physics.

Prizes, Awards and Memberships

  • Invited Speaker at the International Congress of Mathematicians (International Congress of Mathematicians ICM) 1974 in Vancouver ( Structure Theory of Type III Factors )
  • Peccot - Vimont Prize of the College de France ( 1976)
  • Silver Medal of the CNRS in 1977
  • Ampère price of the Academie des Sciences ( 1980)
  • Aimé Berthé price of the Academie des Sciences ( 1982)
  • Plenary lecture at the ICM 1978 in Helsinki ( Von Neumann Algebras )
  • Fields Medal (1982 )
  • Invited Speaker at the 1986 ICM in Berkeley (Cyclic cohomology and Noncommutative differential geometry )
  • Clay Research Award ( 2000)
  • Crafoord Prize (2001)
  • Gold Medal of the CNRS (2004)
  • Member of the Academie des Sciences ( corresponding member since 1980, full member since 1983)
  • Foreign Member of the Royal Danish Academy of Sciences ( 1980)
  • Foreign Member of the Norwegian Academy of Sciences ( 1993)
  • Member of the American Academy of Arts and Sciences (1990 )
  • Member of the National Academy of Sciences (1997)
  • Foreign Corresponding Member of the Russian Academy of Sciences ( 2003)
  • Fellow of the Royal Society of Canada (1996 )
  • He is a multiple honorary doctorates: Queen's University in Kingston (1979 ), University of Rome ( Tor Vergata ) (1997 ), University of Oslo (1999 ), University of Southern Denmark (2009), Free University of Brussels ( 2010)

Writings

  • Connes Noncommutative geometry, Academic Press, 1994 ( PDF; 4.3 MB)
  • Connes, Andre Lichnerowicz, Marcel Schutzenberger Triangle of thought, American Mathematical Society 2001
  • Connes, Marcolli A walk in the garden Noncommutative 2006
  • Connes Noncommutative Geometry Year 2000, 2000
  • Advice to a young mathematician * Advice to a young mathematician, Timothy Gowers June Barrow- in Green, Imre Leader ( Editor): The Princeton Companion to Mathematics, Princeton University Press, 2008, pp. 1011-1013
  • Some of his essays (mostly French) can be found online at numdam.org, including A new proof of Morley's theorem, Pub.Math.IHES 1998 ( the set of the triangular geometry) and Une classification of facteurs de type III, Annales Scientifiques de l' École Normale Supérieure Sér. 4, Vol 6, No. 2, 197, p.133 -252 (his dissertation)
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