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Alexander Goncharov

Alexander Goncharov

D-Index & Metrics

Mathematics

D-Index
36
Citations
9746
World Ranking
2579
National Ranking
1065

Overview

Alexander Goncharov is affiliated with Yale University in the United States and conducts research primarily within the field of Mathematics. Their work spans several subfields including Geometry and Topology, Mathematical Physics, Spectroscopy, Computational Theory and Mathematics, and Applied Mathematics.

Their research covers a range of topics such as:

  • Algebraic structures and combinatorial models
  • Advanced Algebra and Geometry
  • Algebraic Geometry and Number Theory
  • Homotopy and Cohomology in Algebraic Topology
  • Molecular spectroscopy and chirality
  • Topological and Geometric Data Analysis
  • Mathematical Dynamics and Fractals

Alexander Goncharov has contributed to several academic publications, with papers appearing in a variety of venues. Notable publication venues include:

  • arXiv (Cornell University)
  • Mathematical Physics Analysis and Geometry
  • Selecta Mathematica
  • Voprosy Jazykoznanija
  • Notices of the American Mathematical Society

The following are some recent papers authored or coauthored by Alexander Goncharov:

  • "The Inverse Spectral Map for Dimers" (2023), published in Mathematical Physics Analysis and Geometry
  • "Cluster construction of the second motivic Chern class" (2023), published in Selecta Mathematica
  • "Classifications of intratextual relations: Bases and structuring principles" (2021), published in Voprosy Jazykoznanija
  • "Cluster construction of the second motivic Chern class" (2021), published on arXiv (Cornell University)
  • "Memorial Article for Yuri Manin" (2023), published in Notices of the American Mathematical Society

Frequent collaborators in Alexander Goncharov's research include:

  • Terrence George
  • Richard Kenyon
  • Maxim Kontsevich
  • Oleksii Kislinskyi
  • Olexii Kislinskyi

Best Publications

  • Multiple polylogarithms, cyclotomy and modular complexes

    Alexander B. Goncharov

  • Moduli spaces of local systems and higher Teichmüller theory

    Vladimir Fock;Alexander Goncharov

  • Classical Polylogarithms for Amplitudes and Wilson Loops

    Alexander B. Goncharov;Marcus Spradlin;C. Vergu;Anastasia Volovich

  • Scattering Amplitudes and the Positive Grassmannian

    Nima Arkani-Hamed;Jacob L. Bourjaily;Freddy Cachazo;Alexander B. Goncharov

  • Multiple polylogarithms and mixed Tate motives

    A.B. Goncharov

  • Cluster ensembles, quantization and the dilogarithm

    Vladimir V. Fock;Alexander B. Goncharov

  • Grassmannian Geometry of Scattering Amplitudes

    Nima Arkani-Hamed;Jacob L. Bourjaily;Freddy Cachazo;Alexander B. Goncharov

  • Groupes fondamentaux motiviques de Tate mixte

    Pierre Deligne;Alexander B. Goncharov

  • Galois symmetries of fundamental groupoids and noncommutative geometry

    Alexander B. Goncharov

  • Motivic amplitudes and cluster coordinates

    J. K. Golden;A. B. Goncharov;M. Spradlin;M. Spradlin;C. Vergu

  • Dimers and cluster integrable systems

    Alexander B. Goncharov;Richard Kenyon

  • Geometry of Configurations, Polylogarithms, and Motivic Cohomology

    A.B. Goncharov

  • The quantum dilogarithm and representations of quantum cluster varieties

    V.V. Fock;A.B. Goncharov

  • The quantum dilogarithm and representations quantum cluster varieties

    V. V. Fock;A. B. Goncharov

  • Polylogarithms in Arithmetic and Geometry

    Alexander B. Goncharov

  • A simple construction of Grassmannian polylogarithms

    A.B. Goncharov

  • Dual Teichmuller and lamination spaces

    Vladimir V. Fock;Alexander Goncharov

  • Cluster χ-varieties, amalgamation, and Poisson—Lie groups

    V. V. Fock;A. B. Goncharov

  • Volumes of hyperbolic manifolds and mixed Tate motives

    Alexander Goncharov

  • Multiple zeta-motives and moduli spaces M_{0,n}

    A. B. Goncharov;Yu. I. Manin

Frequent Co-Authors

Dennis Gaitsgory
Dennis Gaitsgory Harvard University
Richard Kenyon
Richard Kenyon Yale University
Pierre Deligne
Pierre Deligne Institute for Advanced Study
Michael Finkelberg
Michael Finkelberg National Research University Higher School of Economics
Nima Arkani-Hamed
Nima Arkani-Hamed Institute for Advanced Study

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