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Mathematics

D-Index
31
Citations
3538
World Ranking
3368
National Ranking
31

Overview

A. Alexandrov is affiliated with the Institute for Theoretical and Experimental Physics in the Russian Federation. Their research activity is primarily situated within the field of Mathematics, with a particular focus on Mathematical Physics, Geometry and Topology, Statistical and Nonlinear Physics, Computational Theory and Mathematics, and Algebra and Number Theory.

The scientist's work covers several main topics that include:

  • Nonlinear Waves and Solitons
  • Algebraic structures and combinatorial models
  • Advanced Topics in Algebra
  • Advanced Algebra and Geometry
  • Advanced Combinatorial Mathematics
  • Topological and Geometric Data Analysis
  • Homotopy and Cohomology in Algebraic Topology

Alexandrov has published extensively, with notable recent papers as follows:

  • "KdV solves BKP," 2021, Proceedings of the National Academy of Sciences
  • "On W-operators and superintegrability for dessins d'enfant," 2023, The European Physical Journal C
  • "Intersection numbers on {\overline{M}{g,n}} and BKP hierarchy," 2021, Journal of High Energy Physics
  • "Generalized Brézin-Gross-Witten tau-function as a hypergeometric solution of the BKP hierarchy," 2022, Advances in Mathematics
  • "Intersection numbers on \overline {\mathcal M}{g,n} and BKP hierarchy," 2020, arXiv (Cornell University)

Their publications appear frequently in several venues, including:

  • arXiv (Cornell University)
  • Selecta Mathematica
  • International Mathematics Research Notices
  • Communications in Mathematical Physics
  • Communications in Number Theory and Physics

Alexandrov often collaborates with other researchers. Frequent co-authors include:

  • Sergey Shadrin
  • Boris Bychkov
  • Petr Dunin-Barkowski
  • Maxim Kazarian
  • Alla Reznik

Best Publications

  • PARTITION FUNCTIONS OF MATRIX MODELS: FIRST SPECIAL FUNCTIONS OF STRING THEORY

    A.S. Alexandrov;A. Morozov;A. Mironov

  • Partition Functions of Matrix Models as the First Special Functions of String Theory I. Finite Size Hermitean 1-Matrix Model

    A. Alexandrov;A. Mironov;A. Morozov

  • Solving Virasoro constraints in matrix models

    A. Alexandrov;A. Mironov;A. Mironov;A. Morozov

  • Integrability of Hurwitz Partition Functions. I. Summary

    A.Alexandrov;A.Mironov;A.Morozov;S.Natanzon

  • Instantons and merons in matrix models

    A. Alexandrov;A. Mironov;A. Morozov

  • BGWM as second constituent of complex matrix model

    A. Alexandrov;A. Alexandrov;A. Mironov;A. Morozov

  • On KP-integrable Hurwitz functions

    A. Alexandrov;A. Alexandrov;A. Mironov;A. Mironov;A. Morozov;A. Morozov;S. Natanzon;S. Natanzon

  • CUT-AND-JOIN OPERATOR REPRESENTATION FOR KONTSEVICH–WITTEN TAU-FUNCTION

    A. Alexandrov;A. Alexandrov

  • Free fermions and tau-functions

    Alexander Alexandrov;Alexander Alexandrov;Anton Zabrodin;Anton Zabrodin

  • Integrability of Hurwitz partition functions

    A Alexandrov;A Mironov;A Morozov;S Natanzon;S Natanzon;S Natanzon

  • Cut-and-join description of generalized Brezin-Gross-Witten model

    Alexander Alexandrov

  • M-theory of matrix models

    A. S. Alexandrov;A. D. Mironov;A. Yu. Morozov

  • PARTITION FUNCTIONS OF MATRIX MODELS AS THE FIRST SPECIAL FUNCTIONS OF STRING THEORY II: KONTSEVICH MODEL

    A. Alexandrov;A. Alexandrov;A. Mironov;A. Morozov;P. Putrov

  • Unified description of correlators in non-Gaussian phases of Hermitean matrix model

    A. Alexandrov;A. Mironov;A. Morozov

  • Matrix models for random partitions

    A. Alexandrov;A. Alexandrov

  • Classical tau-function for quantum spin chains

    Alexander Alexandrov;Vladimir Kazakov;Vladimir Kazakov;Sebastien Leurent;Sebastien Leurent;Zengo Tsuboi;Zengo Tsuboi

  • M-Theory of Matrix Models

    A.Alexandrov;A.Mironov;A.Morozov

  • UNIFIED DESCRIPTION OF CORRELATORS IN NON-GAUSSIAN PHASES OF HERMITIAN MATRIX MODEL

    A. Alexandrov;A. Mironov;A. Morozov

  • Weighted Hurwitz Numbers and Topological Recursion

    A. Alexandrov;G. Chapuy;B. Eynard;B. Eynard;J. Harnad;J. Harnad

  • Ramifications of Hurwitz theory, KP integrability and quantum curves

    A. Alexandrov;A. Alexandrov;D. Lewanski;S. Shadrin

  • Towards matrix model representation of HOMFLY polynomials

    A.Alexandrov;A.Mironov;A.Morozov

  • Partition functions of matrix models as the first special functions of string theory: Finite Hermitian one-matrix model

    A. S. Alexandrov;A. D. Mironov;A. Yu. Morozov

Frequent Co-Authors

A. D. Mironov
A. D. Mironov P.N. Lebedev Physical Institute of the Russian Academy of Sciences
Bertrand Eynard
Bertrand Eynard University of Paris-Saclay
John Harnad
John Harnad University of Montreal
Anton Zabrodin
Anton Zabrodin National Research University Higher School of Economics
Vladimir Kazakov
Vladimir Kazakov École Normale Supérieure
Alexei Morozov
Alexei Morozov Moscow Institute of Physics and Technology

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