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Mathematics

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

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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