Jean-Michel Bismut

    Address:

    Département de Mathématique
    Université Paris-Sud
    Bâtiment 425
    F-91405 Orsay
    France

    Fax: 33 1 69156348
    E-mail: jean-michel.bismut@math.u-psud.fr

    Born:

    February 26, 1948, Lisbon, Portugal

    Education:

    1970 École Polytechnique
    1973 Docteur d'Etat in Mathematics at the University of Paris VI

    Positions:

    1975-1987 Maître de Conférences at Ecole Polytechnique
    1981- Professor of Mathematics at University Paris XI (Orsay)
    1980 Visiting Professor in Vancouver
    January-April 1984 Member of the Institute for Advanced Study
    1986 Invited to the World Congress in Berkeley (Geometry)
    1988 Visiting member of IHES
    January-April 1994 Gould Fellow at the Institute for Advanced Study
    Former Editor at Annales I.H.P., Z. Wahrsch., Astérisque, Annales E.N.S.
    1988- Editor of Duke Math. Journal
    1989- Editor of Inventiones Mathematicae
    1990- Member of the Scientific Committee of the Newton Institute
    Managing Co-editor of Inventiones

    Selected Publications:

    1. Linear-quadratic optimal stochastic control with random co-effi-cients. SIAM J. of Contr. 14, 419-444 (1976)
    2. Martingales, the Malliavin calculus and hypoellipticity under general Hörmander's conditions. Z. Wahrsch. 56,469-505 (1981)
    3. The Atiyah-Singer index theorem for families of Dirac opera-tors: two heat equation proofs. Invent. Math. 83, 91-151 (1986)
    4. (with J. Cheeger) Eta-invariants and their adiabatic limits. J.A.M.S. 2, 33-70 (1989)
    5. Koszul complexes, harmonic oscillators and the Todd class. J.A.M.S. 3, 159-256 (1990)
    6. (with G. Lebeau) Complex immersions and Quillen metrics. Publ.Math. IHES 74, 1-297 (1991)
    7. (with W. Zhang) Reidemeister, Milnor and Ray-Singer metrics : an extension of a theorem of Cheeger and Müller. Société Mathématique de France: Astérisque 205 , 1992
    8. (with A. Berthomieu) Quillen metrics and higher analytic torsion forms. J. Reine Agew. Math. 457, 85-184 (1994)
    9. (with J. Lott) Flat vector bundles, direct images and higher real analytic torsion. J.A.M.S. 8, 291-363 (1995)
    10. Holomorphic families of immersions and higher analytic torsion forms. pp 1-240. Astérisque n° 244 :SMF Paris 1997
    11. Local index theory, eta invariants and holomorphic torsion: a survey. To appear in Journal Differential Geometry (1998).