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Mathematics

D-Index
50
Citations
17295
World Ranking
1054
National Ranking
26

Overview

Boris Dubrovin was affiliated with the International School for Advanced Studies in Italy. Their academic work primarily focused on Mathematics and intersected with the field of Physics and Astronomy.

The scientist's research concentrated significantly on subfields such as Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics, Algebra and Number Theory, and Discrete Mathematics and Combinatorics.

The main topics explored in their work encompassed:

  • Algebraic structures and combinatorial models
  • Advanced Algebra and Geometry
  • Algebraic Geometry and Number Theory
  • Nonlinear Waves and Solitons
  • Advanced Topics in Algebra
  • Homotopy and Cohomology in Algebraic Topology
  • Advanced Combinatorial Mathematics

Boris Dubrovin authored or co-authored a number of research papers, including:

  • Hodge-GUE Correspondence and the Discrete KdV Equation, 2020, Communications in Mathematical Physics
  • On tau-functions for the KdV hierarchy, 2021, Selecta Mathematica
  • Gromov-Witten invariants of the Riemann sphere, 2020, Pure and Applied Mathematics Quarterly

Other recent papers connected to their research circle include:

  • Local Moduli of Semisimple Frobenius Coalescent Structures, 2020, Symmetry Integrability and Geometry Methods and Applications
  • Simple Lie Algebras, Drinfeld-Sokolov Hierarchies, and Multi-Point Correlation Functions, 2021, Moscow Mathematical Journal

The scientist collaborated frequently with several researchers, including:

  • Giordano Cotti
  • Davide Guzzetti
  • Di Yang
  • Don Zagier

Boris Dubrovin's publications appeared repeatedly in venues such as:

  • Symmetry Integrability and Geometry Methods and Applications
  • arXiv (Cornell University)
  • Communications in Mathematical Physics
  • Selecta Mathematica
  • Pure and Applied Mathematics Quarterly

In addition to journal articles, the scientist contributed to the academic literature through a book published by Springer Nature titled Helix Structures in Quantum Cohomology of Fano Varieties (2024).

Best Publications

  • Modern Geometry-Methods and Applications(Part II. The Geometry and Topology of Manifolds)

    B. A Dubrovin;S. P Novikov;A. T Fomenko

  • Geometry of 2D topological field theories

    Boris Dubrovin

  • Modern geometry--methods and applications

    B. A. Dubrovin;S. P. Novikov;A. T. Fomenko

  • NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIES

    B A Dubrovin;V B Matveev;S P Novikov

  • Theta functions and non-linear equations

    B. A. Dubrovin

  • Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory

    B A Dubrovin;S P Novikov

  • Normal forms of hierarchies of integrable PDEs, Frobenius manifolds and Gromov - Witten invariants

    Boris Dubrovin;Youjin Zhang

  • Integrable systems in topological field theory

    Boris Dubrovin

  • The Hamiltonian formalism of one-dimensional systems of hydrodynamic type and the Bogoliubov-Whitham averaging method

    B. A. Dubrovin;S. P. Novikov

  • Integrable Systems. I

    B. A. Dubrovin;I. M. Krichever;S. P. Novikov

  • Periodic problems for the Korteweg — de Vries equation in the class of finite band potentials

    B. A. Dubrovin

  • Painlevé Transcendents in Two-Dimensional Topological Field Theory

    Boris Dubrovin

  • Modern Geometry - Methods and Applications Part I: The Geometry of Surfaces, Transformation Groups, and Fields

    B. A Dubrovin;A. T Fomenko;S. P Novikov

  • Monodromy of certain Painlevé VI transcendents and reflection groups

    Boris Dubrovin;Marta Mazzocco

  • Geometry and analytic theory of Frobenius manifolds

    Boris Dubrovin

  • Bihamiltonian Hierarchies in 2D Topological Field Theory At One-Loop Approximation

    Boris Dubrovin;Youjin Zhang

  • Poisson brackets of hydrodynamic type

    B. A. Dubrovin;S. P. Novikov

  • On Hamiltonian Perturbations of Hyperbolic Systems of Conservation Laws, II: Universality of Critical Behaviour

    Boris Dubrovin

  • Frobenius manifolds and Virasoro constraints

    Boris Dubrovin;You-jin Zhang

  • The Extended Toda Hierarchy

    Guido Carlet;Boris Dubrovin;Youjin Zhang

  • The geometry of surfaces, transformation groups, and fields

    B. A. Dubrovin;Anatoliĭ Timofeevich Fomenko;Sergeĭ Petrovich Novikov;Robert G. Burns

Frequent Co-Authors

S. P. Novikov
S. P. Novikov Russian Academy of Sciences
Anatoliĭ Timofeevich Fomenko
Anatoliĭ Timofeevich Fomenko Lomonosov Moscow State University
Marco Bertola
Marco Bertola Concordia University
Igor Moiseevich Krichever
Igor Moiseevich Krichever Columbia University
Don Zagier
Don Zagier Max Planck Institute for Mathematics
Albert N. Shiryaev
Albert N. Shiryaev Steklov Mathematical Institute
Evgeny Ferapontov
Evgeny Ferapontov Loughborough University
Mauro Francaviglia
Mauro Francaviglia University of Turin
Martin Golubitsky
Martin Golubitsky The Ohio State University
Béla Bollobás
Béla Bollobás University of Memphis

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