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Jean-Michel Bismut

Jean-Michel Bismut

D-Index & Metrics

Mathematics

D-Index
45
Citations
11155
World Ranking
1440
National Ranking
80

Research.com Recognitions

  • 2004 - German National Academy of Sciences Leopoldina - Deutsche Akademie der Naturforscher Leopoldina – Nationale Akademie der Wissenschaften Mathematics
  • 1998 - Member of Academia Europaea
  • 1991 - Academie des sciences, France
  • 1990 - Ampère Prize (Prix Ampère de l’Électricité de France), French Academy of Sciences

Overview

Jean-Michel Bismut is affiliated with the University of Paris-Saclay in France. Their research primarily spans the fields of Mathematics and Physics and Astronomy, with a total of 49 publications in Mathematics and 7 in Physics and Astronomy.

Their main areas of specialization include Geometry and Topology, Mathematical Physics, Applied Mathematics, Algebra and Number Theory, and Astronomy and Astrophysics. Key subfields of study cover:

  • Geometry and Topology
  • Mathematical Physics
  • Applied Mathematics
  • Algebra and Number Theory
  • Astronomy and Astrophysics

Jean-Michel Bismut's research engages deeply with advanced mathematical topics such as Algebraic Geometry and Number Theory, Geometry and Complex Manifolds, Homotopy and Cohomology in Algebraic Topology, Advanced Topics in Algebra, Geometric and Algebraic Topology, Algebraic and Geometric Analysis, and Advanced Operator Algebra Research. The topics of their work include:

  • Algebraic Geometry and Number Theory
  • Geometry and complex manifolds
  • Homotopy and Cohomology in Algebraic Topology
  • Advanced Topics in Algebra
  • Geometric and Algebraic Topology
  • Algebraic and Geometric Analysis
  • Advanced Operator Algebra Research

Recent papers authored by Jean-Michel Bismut include:

  • "Geometric orbital integrals and the center of the enveloping algebra," 2022, published in Compositio Mathematica
  • "Coherent sheaves, superconnections, and RRG," 2021, published on arXiv (Cornell University)
  • "Anosov Vector Fields and Fried Sections," 2025, published in Communications in Mathematical Physics
  • While not a direct author, a related publication includes "Isadore M. Singer (1924-2021) In Memoriam Part 1: Scientific Works," 2022, in Notices of the American Mathematical Society

Jean-Michel Bismut has collaborated frequently with several co-authors, among whom the most prominent are:

  • Shu Shen
  • Zhaoting Wei
  • Robert L. Bryant
  • Jeff Cheeger
  • Phillip Griffiths

Their work has been published repeatedly in venues such as:

  • arXiv (Cornell University)
  • Compositio Mathematica
  • Communications in Mathematical Physics
  • Notices of the American Mathematical Society

Jean-Michel Bismut has also contributed to academic books, including a publication with Birkhäuser titled Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck published in 2023.

Awards received by Jean-Michel Bismut reflect recognition in the mathematical sciences and include:

  • German National Academy of Sciences Leopoldina - Deutsche Akademie der Naturforscher Leopoldina - Nationale Akademie der Wissenschaften (2004) for Mathematics
  • Membership of Academia Europaea (1998)
  • Academie des sciences, France (1991)
  • Ampère Prize from the French Academy of Sciences (1990)

Best Publications

  • Conjugate convex functions in optimal stochastic control

    Jean-Michel Bismut

  • An Introductory Approach to Duality in Optimal Stochastic Control

    Jean-Michel Bismut

  • Large Deviations and the Malliavin Calculus

    Jean-Michel Bismut

  • A local index theorem for non Kähler manifolds

    Jean-Michel Bismut

  • The analysis of elliptic families. II. Dirac operators, eta invariants, and the holonomy theorem

    Jean Michel Bismut;Daniel S Freed

  • The analysis of elliptic families. I. Metrics and connections on determinant bundles

    Jean Michel Bismut;Daniel S Freed

  • The Atiyah-Singer index theorem for families of Dirac operators: two heat equation proofs

    Jean-Michel Bismut

  • Linear Quadratic Optimal Stochastic Control with Random Coefficients

    Jean-Michel Bismut

  • Analytic torsion and holomorphic determinant bundles I. Bott-Chern forms and analytic torsion

    J. M. Bismut;H. Gillet;C. Soulé

  • Martingales, the Malliavin calculus and hypoellipticity under general Hörmander's conditions

    Jean Michel Bismut

  • Eta invariants and their adiabatic limits

    Jean Michel Bismut;Jean Michel Bismut;Jeff Cheeger

  • Analytic torsion and holomorphic determinant bundles. III: Quillen metrics on holomorphic determinants

    Jean-Michel Bismut;Henri Gillet;Christophe Soulé

  • Complex immersions and Quillen metrics

    Jean-Michel Bismut;Gilles Lebeau

  • An extension of a theorem by Cheeger and Müller

    Jean-Michel Bismut;Weiping Zhang;Français Laudenbach

  • Flat vector bundles, direct images and higher real analytic torsion

    Jean-Michel Bismut;John Lott

  • The Atiyah—Singer theorems: A probabilistic approach. I. The index theorem

    Jean-Michel Bismut

  • Théorie probabiliste du contrôle des diffusions

    Jean-Michel Bismut

  • Analytic torsion and holomorphic determinant bundles: II. Direct images and Bott-Chern forms

    Jean-Michel Bismut;Henri Gillet;Christophe Soulé

  • Calcul des variations stochastique et processus de sauts

    Jean-Michel Bismut

  • Index theorem and equivariant cohomology on the loop space

    Jean-Michel Bismut

Frequent Co-Authors

Jeff Cheeger
Jeff Cheeger Courant Institute of Mathematical Sciences
John Lott
John Lott University of California, Berkeley
Daniel S. Freed
Daniel S. Freed The University of Texas at Austin
Marc Yor
Marc Yor Sorbonne University

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