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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

Jean-Michel Bismut publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Jean-Michel Bismut sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 179 publications — 53rd percentile

53% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Jean-Michel Bismut D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Jean-Michel Bismut sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 45 D-Index — 61st percentile

61% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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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