Jean-Michel Bismut
For the chemical element, see bismuth.
| Jean-Michel Bismut | |
|---|---|
 Jean-Michel Bismut in 2004 (photo from MFO) | |
| Born |
26 February 1948 Lisbon, Portugal |
| Nationality | French |
| Fields | Mathematics |
| Institutions | Université Paris-Sud |
| Alma mater | Ecole Polytechnique |
| Doctoral advisor |
Jacques-Louis Lions Jacques Neveu |
| Doctoral students |
Patrick Cattiaux Kai Köhler |
| Known for | Probabilistic proof of Atiyah-Singer index theorem |
| Notable awards | Prix Ampère (French Academy of Sciences), 1990 |
Jean-Michel Bismut (born 26 February 1948) is a French mathematician who has been a Professor at the Université Paris-Sud since 1981.[1]
His early work was related to stochastic differential equations, stochastic control, and Malliavin calculus, to which he made fundamental contributions, giving a probabilistic proof of Hörmander's theorem. He found a heat equation proof for the Atiyah–Singer index theorem. In 1990 he was awarded the Prix Ampere of the Academy of Sciences. He was a visiting scholar at the Institute for Advanced Study in the summer of 1984.[2] He was elected as a member of the French Academy of Sciences in 1991.
Selected bibliography
- ——— (1973). "Conjugate convex functions in optimal stochastic control". Journal of Mathematical Analysis and Applications. 44 (2): 384–404. doi:10.1016/0022-247X(73)90066-8.
- ——— (1981). "Martingales, the Malliavin calculus and hypoellipticity under general Hörmander's conditions". Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete. 56 (4): 469–505. doi:10.1007/BF00531428.
- ——— (1986). "The Atiyah-Singer index theorem for families of Dirac operators: two heat equation proofs". Inventiones Mathematicae. 83: 91–151. doi:10.1007/bf01388755.
- ———; Lebeau, G. (1992). "Complex immersions and Quillen metrics". Publications Mathématiques de l'IHÉS. 74 (1991).
- ——— (2005). "The hypoelliptic Laplacian on the cotangent bundle". Journal of the American Mathematical Society. 18 (2): 379–476.
See also
References
External links
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