D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 30 Citations 3,317 115 World Ranking 2742 National Ranking 29

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • Topology

His primary areas of study are Hermitian matrix, Mathematical physics, Quantum, Riemann surface and Matrix. His work deals with themes such as Genus, Partition function, Disjoint sets, Algebraic geometry and Limit, which intersect with Hermitian matrix. His work carried out in the field of Genus brings together such families of science as Perturbation theory, Quantum field theory, Moduli space, Iterative method and Scaling limit.

His Mathematical physics research is multidisciplinary, incorporating perspectives in Current algebra, Jordan algebra, Observable, Geodesic and Filtered algebra. Leonid Chekhov combines subjects such as Mapping class group, Action, Noncommutative geometry, Algebraic number and Algebra over a field with his study of Quantum. The Riemann surface portion of his research involves studies in Mathematical analysis and Pure mathematics.

His most cited work include:

  • Matrix model calculations beyond the spherical limit (298 citations)
  • Hermitian matrix model free energy: Feynman graph technique for all genera (217 citations)
  • Quantum Teichmuller space (150 citations)

What are the main themes of his work throughout his whole career to date?

His scientific interests lie mostly in Pure mathematics, Riemann surface, Mathematical physics, Hermitian matrix and Moduli space. His biological study spans a wide range of topics, including Quantum and Geodesic. His Riemann surface study is related to the wider topic of Mathematical analysis.

His work investigates the relationship between Mathematical physics and topics such as Matrix model that intersect with problems in Superstring theory and Logarithm. His research integrates issues of Conformal map, Genus, Partition function, Matrix and Riemann hypothesis in his study of Hermitian matrix. He has researched Moduli space in several fields, including Discretization, Gaussian and Enumeration.

He most often published in these fields:

  • Pure mathematics (49.65%)
  • Riemann surface (31.47%)
  • Mathematical physics (30.07%)

What were the highlights of his more recent work (between 2013-2021)?

  • Pure mathematics (49.65%)
  • Riemann surface (31.47%)
  • Ramanujan tau function (20.98%)

In recent papers he was focusing on the following fields of study:

His primary scientific interests are in Pure mathematics, Riemann surface, Ramanujan tau function, Moduli space and Topology. The Pure mathematics study combines topics in areas such as Quantum and Generating function. The study of Generating function is intertwined with the study of Hermitian matrix in a number of ways.

His Hermitian matrix study combines topics from a wide range of disciplines, such as Matrix, Morphism, Hierarchy and Partition function. His Riemann surface study deals with the bigger picture of Mathematical analysis. His Moduli space research is multidisciplinary, incorporating elements of Asymptotic expansion and Gaussian.

Between 2013 and 2021, his most popular works were:

  • The matrix model for dessins d'enfants (63 citations)
  • Teichmüller spaces of riemann surfaces with orbifold points of arbitrary order and cluster variables (42 citations)
  • Teichmüller spaces of riemann surfaces with orbifold points of arbitrary order and cluster variables (42 citations)

In his most recent research, the most cited papers focused on:

  • Quantum mechanics
  • Pure mathematics
  • Mathematical analysis

Leonid Chekhov mainly focuses on Pure mathematics, Riemann surface, Teichmüller space, Orbifold and Character variety. His work on Hypergeometric distribution and Genus as part of general Pure mathematics study is frequently linked to Ramanujan tau function and Projective line, therefore connecting diverse disciplines of science. His Riemann surface research is multidisciplinary, relying on both Gaussian and Moduli space.

His Teichmüller space research incorporates elements of Bracket, Cluster algebra, Geodesic and Semiclassical physics. His study in Orbifold is interdisciplinary in nature, drawing from both Order and Cluster. His Character variety research includes elements of Unipotent, Character, Riemann hypothesis, Monodromy and Riemann sphere.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Matrix model calculations beyond the spherical limit

Jan Ambjørn;L. Chekhov;C.F. Kristjansen;Yu. Makeenko.
Nuclear Physics (1993)

350 Citations

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

Leonid Chekhov;Bertrand Eynard.
Journal of High Energy Physics (2006)

227 Citations

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

L. Chekhov;B. Eynard.
arXiv: High Energy Physics - Theory (2005)

204 Citations

Free energy topological expansion for the 2-matrix model

Leonid Chekhov;Bertrand Eynard;Nicolas Orantin.
Journal of High Energy Physics (2006)

162 Citations

Quantum Teichmuller space

L. Chekhov;V.V. Fock.
Theoretical and Mathematical Physics (1999)

161 Citations

Matrix eigenvalue model: Feynman graph technique for all genera

Leonid Chekhov;Bertrand Eynard.
Journal of High Energy Physics (2006)

143 Citations

Matrix models vs. Seiberg-Witten/Whitham theories

L. Chekhov;A. Mironov;A. Mironov.
Physics Letters B (2003)

112 Citations

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

L. O. Chekhov;B. Eynard;O. Marchal.
arXiv: Mathematical Physics (2010)

103 Citations

DV and WDVV

L. Chekhov;A. Marshakov;A. Mironov;D. Vasiliev.
Physics Letters B (2003)

89 Citations

Topological expansion of the Bethe ansatz, and quantum algebraic geometry

Leonid Chekhov;Bertrand Eynard;Olivier Marchal.
arXiv: Mathematical Physics (2009)

83 Citations

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