World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
57
Citations
10419
World Ranking
705
National Ranking
34

Bertrand Eynard 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 Bertrand Eynard 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: 146 publications — 36th percentile

36% of scientists in this discipline score the same or lower.

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

Bertrand Eynard 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 Bertrand Eynard 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: 57 D-Index — 82nd percentile

82% of scientists in this discipline score the same or lower.

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

Overview

Bertrand Eynard is affiliated with the University of Paris-Saclay in France and has contributed extensively to fields spanning mathematics, physics, and cognitive neuroscience. Their research focal points encompass advanced combinatorial mathematics, differential equations, nonlinear waves, neural and behavioral psychology studies, EEG and brain-computer interfaces, theoretical physics related to black holes, and advanced mathematical identities.

The scientist's publication record includes a significant number of papers primarily in mathematics and physics and spans both theoretical and applied topics. Frequent publication venues for their work include arXiv (Cornell University), where they have published eight papers, Annales de l'Institut Henri Poincaré D Combinatorics Physics and their Interactions with three publications, and additional works appearing in Frontiers in Neuroscience, Zenodo (CERN European Organization for Nuclear Research), and Applied Neuropsychology Adult.

Recent papers by Bertrand Eynard include:

  • A Dissociation of Attention, Executive Function and Reaction to Difficulty: Development of the MindPulse Test, a Novel Digital Neuropsychological Test for Precise Quantification of Perceptual-Motor Decision-Making Processes (2021, Frontiers in Neuroscience)
  • Resurgent Asymptotics of Jackiw-Teitelboim Gravity and the Nonperturbative Topological Recursion (2023, Zenodo (CERN European Organization for Nuclear Research))
  • Adult norms for the decision-making MindPulse Digital Test (2024, Applied Neuropsychology Adult)
  • A natural basis for intersection numbers (2021, arXiv (Cornell University))
  • A new formula for intersection numbers (2022, arXiv (Cornell University))

Bertrand Eynard frequently collaborates with a core group of co-authors whose partnerships have yielded multiple publications. These include Soufiane Oukassi, Sandra Suárez, Danilo Lewański, Sylvie Granon, and Elba Garcia-Failde.

The scientist's research integrates diverse subfields such as cognitive neuroscience, geometry and topology, statistical and nonlinear physics, discrete mathematics and combinatorics, and algebra and number theory, reflecting a multidisciplinary approach.

  • Cognitive Neuroscience
  • Geometry and Topology
  • Statistical and Nonlinear Physics
  • Discrete Mathematics and Combinatorics
  • Algebra and Number Theory

Within these domains, themes of advanced combinatorics, nonlinear dynamical systems, and mathematical identities appear recurrently. The involvement in EEG and brain-computer interfaces connects the mathematical and physical sciences with neuropsychological applications, as seen in their contributions to tests such as the MindPulse Digital Test.

Best Publications

  • Invariants of algebraic curves and topological expansion

    Bertrand Eynard;Nicolas Orantin

  • All genus correlation functions for the hermitian 1-matrix model

    B. Eynard

  • Topological expansion for the 1-hermitian matrix model correlation functions

    Bertrand Eynard

  • Hermitian matrix model free energy: Feynman graph technique for all genera

    Leonid Chekhov;Bertrand Eynard

  • Torus knots and mirror symmetry

    Andrea Brini;Bertrand Eynard;Marcos Marino

  • Breakdown of universality in multi-cut matrix models

    Gabrielle Bonnet;Francois David;Bertrand Eynard

  • Matrices coupled in a chain: I. Eigenvalue correlations

    Bertrand Eynard;Madan Lal Mehta

  • Free energy topological expansion for the 2-matrix model

    Leonid Chekhov;Bertrand Eynard;Nicolas Orantin

  • Hermitean matrix model free energy: Feynman graph technique for all genera

    L. Chekhov;B. Eynard

  • Algebraic methods in random matrices and enumerative geometry

    Bertrand Eynard;Nicolas Orantin

  • Torus knots and mirror symmetry

    Andrea Brini;Marcos Mariño;Bertrand Eynard

  • Invariants of spectral curves and intersection theory of moduli spaces of complex curves

    B. Eynard

  • Matrix eigenvalue model: Feynman graph technique for all genera

    Leonid Chekhov;Bertrand Eynard

  • Weil-Petersson volume of moduli spaces, Mirzakhani's recursion and matrix models

    Bertrand Eynard;Nicolas Orantin

  • Exact solution of the O(n) model on a random lattice

    B. Eynard;C. Kristjansen

  • Computation of Open Gromov–Witten Invariants for Toric Calabi–Yau 3-Folds by Topological Recursion, a Proof of the BKMP Conjecture

    Bertrand Eynard;Nicolas Orantin

  • A Holomorphic and background independent partition function for matrix models and topological strings

    Bertrand Eynard;Marcos Marino

  • The Laplace transform of the cut-and-join equation and the Bouchard-Marino conjecture on Hurwitz numbers

    Bertrand Eynard;Motohico Mulase;Bradley Safnuk

  • Abstract loop equations, topological recursion and new applications

    Gaëtan Borot;Bertrand Eynard;Nicolas Orantin

  • Topological recursion in enumerative geometry and random matrices

    Bertrand Eynard;Nicolas Orantin

  • Random matrices

    Bertrand Eynard;Taro Kimura;Sylvain Ribault

  • Loop equations for the semiclassical 2-matrix model with hard edges

    Bertrand Eynard

Frequent Co-Authors

John Harnad
John Harnad University of Montreal
Marco Bertola
Marco Bertola Concordia University
Leonid Chekhov
Leonid Chekhov Michigan State University
A. Alexandrov
A. Alexandrov Institute for Theoretical and Experimental Physics
Marcos Mariño
Marcos Mariño University of Geneva
P. Di Francesco
P. Di Francesco University of Illinois at Urbana-Champaign
Jean-Bernard Zuber
Jean-Bernard Zuber Sorbonne University
Satya N. Majumdar
Satya N. Majumdar University of Paris-Saclay
Pavel Bleher
Pavel Bleher Indiana University – Purdue University Indianapolis

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