Alain Connes (IHES)

Alain Connes, Mathematician

Léon Motchane Chair holder since 1979
Emeritus professor since 2017

After pioneering contributions on operator algebras, Alain Connes developed an ambitious programme aimed at founding a "noncommutative geometry".

Step by step, he identified the elements of this new geometry, introducing new concepts such as cyclic cohomology, K-cycles theory, and a spectral approach to Riemannian geometry. The theory is now a well established branch of mathematics involving hundreds of researchers. It provides very interesting models for physics such as a synthetic and geometric view on the standard model of elementary particles, a conceptual framework for the quantum Hall effect. It also provides an encompassing view of discrete and continuous spaces. As a result, new connections are being made with number theory and algebraic geometry, via an avatar of the theory of motives.

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Aimé Berthé prize of the Académie des sciences (1975)
Peccot-Vimont Prize of the Collège­ de France (1977)
Ampère Prize of the Académie des sciences (1980)
Fields Medal (1982)
Clay Prize (2000)
Crafoord Prize (2001)
CNRS Gold Medal (2004)
Institut de France Member

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