World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
44
Citations
6623
World Ranking
1610
National Ranking
16

Overview

Anton Zabrodin is affiliated with the National Research University Higher School of Economics in the Russian Federation. Their research spans primarily mathematics and physics, with significant contributions at the intersection of these disciplines.

The scientist's main fields of study include:

  • Mathematics
  • Physics and Astronomy

Within these broader fields, their work focuses on several subfields such as:

  • Statistical and Nonlinear Physics
  • Geometry and Topology
  • Mathematical Physics
  • Algebra and Number Theory
  • Spectroscopy

The core topics that characterize their body of work are:

  • Nonlinear Waves and Solitons
  • Algebraic structures and combinatorial models
  • Nonlinear Photonic Systems
  • Advanced Differential Equations and Dynamical Systems
  • Advanced Topics in Algebra
  • Molecular spectroscopy and chirality
  • Quantum chaos and dynamical systems

A number of recent papers authored by Anton Zabrodin and collaborators illustrate the scope of their research. These include:

  • "Field analogue of the Ruijsenaars-Schneider model," 2022, Journal of High Energy Physics
  • "Kadomtsev-Petviashvili hierarchies of types B and C," 2021, Theoretical and Mathematical Physics

Additionally, Zabrodin has coauthored works with other researchers, often in collaboration with:

  • Vadim Vyacheslavovich Prokofev
  • Takashi Takebe
  • I. M. Krichever
  • Dar'ya Sergeevna Rudneva
  • А. П. Веселов

The frequent publication venues where work by Zabrodin appears are:

  • arXiv (Cornell University)
  • Theoretical and Mathematical Physics
  • Теоретическая и математическая физика
  • Letters in Mathematical Physics
  • Journal of Physics A Mathematical and Theoretical

Selected notable recent papers include:

  • "Kadomtsev-Petviashvili Turning Points and CKP Hierarchy," 2021, Communications in Mathematical Physics
  • "Constrained Toda hierarchy and turning points of the Ruijsenaars-Schneider model," 2022, Letters in Mathematical Physics
  • "Elliptic solutions to Toda lattice hierarchy and elliptic Ruijsenaars-Schneider model," 2021, arXiv (Cornell University)

Anton Zabrodin's research methodology integrates complex algebraic frameworks with nonlinear dynamical systems, reflecting an interdisciplinary approach across mathematical physics and applied mathematics. Their publication record demonstrates active collaborations with other specialists in these areas, as well as contributions to advancing theoretical models related to integrable systems and soliton theory.

Best Publications

  • Quantum Integrable Models and Discrete Classical Hirota Equations

    I. Krichever;O. Lipan;P. Wiegmann;A. Zabrodin

  • Integrable structure of interface dynamics

    Mark Mineev-Weinstein;Paul B. Wiegmann;Paul B. Wiegmann;Anton Zabrodin;Anton Zabrodin

  • Quantum integrable systems and elliptic solutions of classical discrete nonlinear equations

    I. Krichever;O. Lipan;P. Wiegmann;A. Zabrodin

  • Conformal Maps and Integrable Hierarchies

    P. B. Wiegmann;A. Zabrodin

  • Spin generalization of the Ruijsenaars-Schneider model, the non-Abelian 2D Toda chain, and representations of the Sklyanin algebra

    I. Krichever;A. Zabrodin

  • Towards unified theory of 2d gravity

    S. Kharchev;A. Marshakov;A. Mironov;A. Morozov

  • Total cross section measurement for the three double pion photoproduction channels on the proton

    A Braghieri;L.Y Murphy;J Ahrens;G Audit

  • Bethe-ansatz for the Bloch electron in magnetic field.

    P. B. Wiegmann;A. V. Zabrodin

  • Large-N expansion for the 2D Dyson gas

    A Zabrodin;P Wiegmann;P Wiegmann

  • Supersymmetric Bethe ansatz and Baxter equations from discrete Hirota dynamics

    Vladimir Kazakov;Alexander Savelievich Sorin;Anton Zabrodin

  • Unification of all string models with c<1

    S. Kharchev;A. Marshakov;A. Mironov;A. Morozov

  • A computational scheme for two-dimensional non stationary problems of gas dynamics and calculation of the flow from a shock wave approaching a stationary state☆

    Unknown

  • Matrix models among integrable theories: Forced hierarchies and operator formalism

    S. Kharchev;A. Marshakov;A. Mironov;A. Orlov

  • Spin generalization of the Ruijsenaars-Schneider model, non-abelian 2D Toda chain and representations of Sklyanin algebra

    I. Krichever;A. Zabrodin

  • Integrable Structure of the Dirichlet Boundary Problem in Two Dimensions

    A Marshakov;Paul B Wiegmann;A Zabrodin

  • Normal random matrix ensemble as a growth problem

    R. Teodorescu;E. Bettelheim;O. Agam;A. Zabrodin

  • Free fermions and tau-functions

    Alexander Alexandrov;Alexander Alexandrov;Anton Zabrodin;Anton Zabrodin

  • Quantum group and magnetic translations Bethe ansatz for the Asbel-Hofstadter problem

    P.B. Wiegmann;P.B. Wiegmann;A.V. Zabrodin

  • Integrable Structure of the Dirichlet Boundary Problem in Multiply-Connected Domains

    I. Krichever;I. Krichever;Andrei Marshakov;Andrei Marshakov;A. Zabrodin

  • Laplacian growth and Whitham equations of soliton theory

    I. Krichever;M. Mineev-Weinstein;P. Wiegmann;A. Zabrodin

  • On Associativity Equations in Dispersionless Integrable Hierarchies

    A. Boyarsky;A. Marshakov;O. Ruchayskiy;P. Wiegmann

  • Hirota’s difference equations

    A. V. Zabrodin

Frequent Co-Authors

Igor Moiseevich Krichever
Igor Moiseevich Krichever Columbia University
Andrei Vladimirovich Marshakov
Andrei Vladimirovich Marshakov Skolkovo Institute of Science and Technology
A. Alexandrov
A. Alexandrov Institute for Theoretical and Experimental Physics
Vladimir Kazakov
Vladimir Kazakov École Normale Supérieure
A. D. Mironov
A. D. Mironov P.N. Lebedev Physical Institute of the Russian Academy of Sciences
Nikita Andreevich Slavnov
Nikita Andreevich Slavnov Steklov Mathematical Institute

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