Jean-Michel Bismut

Jean -Michel bismuth ( born February 26, 1948 in Lisbon ) is a French mathematician who deals with Global Analysis, arithmetic algebraic geometry and probability theory.

Life and work

Jean -Michel bismuth studied from 1967 at the École polytechnique ( completion 1970) and received his doctorate in 1973 at the University of Paris VI. 1970 to 1976 he was a mining engineer ( Ingénieur du Corps des Mines ). 1975 to 1987, was Maitre de Conferences at the Ecole Polytechnique. He is since 1981 Professor at the University Paris-Sud (Paris XI) in Orsay. In 1980 he was a visiting professor in Vancouver in 1984 and 1994 at the Institute for Advanced Study and 1987/ 8 at the IHES.

Bismuth dealt with stochastic optimization, the Malliavin calculus of stochastic differential equations, the index theory of differential operators together with applications in differential geometry and algebraic geometry, arithmetic algebraic geometry ( proof of Riemann - Roch- Grothendieck theorem with Henri Gillet and Christophe Soulé ) and hypo- elliptic deformations of the Hodge - theory.

Since 1991 he is member of the Academy of Sciences and is a member of the Academy of Natural Scientists Leopoldina (since 2004), the Academia Europaea. In 1984 he received the Prix Montyon and 1990 the Prix Ampere of the French Academy. He was Invited Lecturer on the ICM 1986 in Berkeley ( Index Theory and the heat equation ), and held at the ICM in Berlin in 1998 a plenary lecture (Local index theory and higher analytic torsion ). He is co-editor of the Duke Mathematical Journal and the Inventiones Mathematicae (1989-2008) and the advisory board of the Newton Institute in Cambridge and the Max Planck Institute for Mathematics in Bonn (President 2000 to 2006). 1998 to 2002 he was a member of the Executive Committee of the International Mathematical Union, and from 2002 to 2006 as Vice President.

Writings

  • Mécanique Aléatoire, Springer 1981
  • Large Deviations and the Malliavin Calculus, Birkhauser 1984
  • With G.Lebeau The Hypotelliptic Laplacian and Ray -Singer Metrics, Princeton 2008
  • The Hypoelliptic Dirac operator, in Progress in Mathematics Bd.265, Birkhauser 2007
  • The Atiyah -Singer index theorem for families of Dirac operators: two heat equation proofs, Inventiones Mathematicae, vol 83, 1986, pp. 91-151
Mathematical analysis Institut des Hautes Études Scientifiques Berkeley, California Integrated Authority File
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