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Mathematics

D-Index
32
Citations
3741
World Ranking
3232
National Ranking
1285

Overview

Leonid Chekhov is affiliated with the Steklov Mathematical Institute in the Russian Federation. Their research primarily focuses on areas within mathematics, with a significant number of publications addressing topics in geometry and topology, mathematical physics, algebra and number theory, statistical and nonlinear physics, and spectroscopy.

The scientist's work spans several main topics, including:

  • Algebraic structures and combinatorial models
  • Advanced Topics in Algebra
  • Nonlinear Waves and Solitons
  • Homotopy and Cohomology in Algebraic Topology
  • Advanced Algebra and Geometry
  • Molecular spectroscopy and chirality
  • Advanced Combinatorial Mathematics

Leonid Chekhov has published extensively in various scientific venues, with frequent contributions to:

  • arXiv (Cornell University)
  • Russian Mathematical Surveys
  • Успехи математических наук
  • Advances in Mathematics
  • International Mathematics Research Notices

Some recent papers authored or co-authored by Leonid Chekhov include:

  • "Log-Canonical Coordinates for Symplectic Groupoid and Cluster Algebras," 2022, International Mathematics Research Notices
  • "Quantised Painlevé monodromy manifolds, Sklyanin and Calabi-Yau algebras," 2020, Advances in Mathematics
  • "Симплектические структуры на пространствах Тейхмюллера ℳg,s,n и кластерные алгебры," 2020, Труды Математического института им Стеклова
  • "Characteristic equation for symplectic groupoid and cluster algebras," 2021, arXiv (Cornell University)

While not an author of it, a relevant recent publication linked to the field is "The ABCD of topological recursion," published in 2024 in Advances in Mathematics, authored by Jørgen Ellegaard Andersen.

Leonid Chekhov has collaborated frequently with several researchers, including:

  • Michael Shapiro
  • Huang Shibo
  • Victor Matveevich Buchstaber
  • А. П. Веселов
  • P. G. Grinevich

Best Publications

  • Matrix model calculations beyond the spherical limit

    Jan Ambjørn;L. Chekhov;C.F. Kristjansen;Yu. Makeenko

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

    Leonid Chekhov;Bertrand Eynard

  • 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

  • Quantum Teichmuller space

    L. Chekhov;V.V. Fock

  • Matrix eigenvalue model: Feynman graph technique for all genera

    Leonid Chekhov;Bertrand Eynard

  • Matrix models vs. Seiberg-Witten/Whitham theories

    L. Chekhov;A. Mironov;A. Mironov

  • Topological expansion of beta-ensemble model and quantum algebraic geometry in the sectorwise approach

    L. O. Chekhov;B. Eynard;O. Marchal

  • DV and WDVV

    L. Chekhov;A. Marshakov;A. Mironov;D. Vasiliev

  • Topological expansion of the Bethe ansatz, and quantum algebraic geometry

    Leonid Chekhov;Bertrand Eynard;Olivier Marchal

  • Teichm"uller spaces of Riemann surfaces with orbifold points of arbitrary order and cluster variables

    Leonid Chekhov;Michael Shapiro

  • Quantum Teichm"uller space

    L.Chekhov;V.V.Fock

  • Higher genus correlators from the hermitian one-matrix model

    Jan Ambjorn;L. Chekhov;Yu. Makeenko

  • The matrix model for dessins d'enfants

    Jan Ambjørn;Leonid O. Chekhov

  • Teichmüller spaces of riemann surfaces with orbifold points of arbitrary order and cluster variables

    Leonid Chekhov;Leonid Chekhov;Michael Shapiro

  • Observables in 3d gravity and geodesic algebras

    L. O. Chekhov;V. V. Fock

  • Квантовые пространства Тейхмюллера@@@A quantum Teichmüller space

    Владимир Владимирович Фок;Vladimir Vladimirovich Fock;Леонид Олегович Чехов;Leonid Olegovich Chekhov

  • The matrix model for hypergeometric Hurwitz numbers

    Jan Ambjorn;Leonid Chekhov

  • R-Matrix Quantization of the Elliptic Ruijsenaars-Schneider Model

    G.E. Arutyunov;L.O. Chekhov;S.A. Frolov

  • Topological expansion of the β-ensemble model and quantum algebraic geometry in the sectorwise approach

    Leonid Chekhov;Bertrand Eynard;Olivier Marchal

  • Complex geometry of matrix models

    L. Chekhov;A. Mironov;A. Marshakov;D. Vasiliev

Frequent Co-Authors

Jan Ambjørn
Jan Ambjørn Niels Bohr Institute
Bertrand Eynard
Bertrand Eynard University of Paris-Saclay
A. D. Mironov
A. D. Mironov P.N. Lebedev Physical Institute of the Russian Academy of Sciences
Andrei Vladimirovich Marshakov
Andrei Vladimirovich Marshakov Skolkovo Institute of Science and Technology
Jørgen Goul Andersen
Jørgen Goul Andersen Aalborg University

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