World's Best Scientists 2026 revealed!
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Mathematics
Israel
2026
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Mathematics
Russia
2022

D-Index & Metrics

Mathematics

D-Index
68
Citations
13287
World Ranking
322
National Ranking
5

Research.com Recognitions

  • 2026 - Research.com Mathematics in Israel Leader Award
  • 2025 - Research.com Mathematics in Israel Leader Award
  • 2022 - Research.com Mathematics in Russia Leader Award

Overview

Boris Feigin is affiliated with the Hebrew University of Jerusalem in Israel. Their primary research domain lies within the field of Mathematics, with a focus on subfields such as Geometry and Topology, Algebra and Number Theory, Mathematical Physics, Statistical and Nonlinear Physics, and Discrete Mathematics and Combinatorics.

The scientist's research topics cover a range of advanced mathematical areas. Key subjects include:

  • Algebraic structures and combinatorial models
  • Advanced Topics in Algebra
  • Nonlinear Waves and Solitons
  • Advanced Algebra and Geometry
  • Advanced Combinatorial Mathematics
  • Homotopy and Cohomology in Algebraic Topology
  • Black Holes and Theoretical Physics

Boris Feigin has contributed extensively to academic literature with a total of 61 publications primarily in mathematics. Their frequent publication venues include:

  • arXiv (Cornell University)
  • Communications in Mathematical Physics
  • Advances in Mathematics
  • Journal of Mathematical Physics
  • Forum of Mathematics Sigma

Some of their recent papers include:

  • VOAM4, 2020, Journal of Mathematical Physics
  • Deformations of algebras via quantum toroidal algebras, 2021, Selecta Mathematica
  • Combinatorics of vertex operators and deformed W-algebra of type D(2,1;α), 2022, Advances in Mathematics
  • Urod algebras and Translation of W-algebras, 2022, Forum of Mathematics Sigma
  • 3-Manifolds and VOA Characters, 2024, Communications in Mathematical Physics

Collaboration plays a notable role in their work, with frequent coauthors including:

  • E. Mukhin
  • M. Jimbo
  • Sergei Gukov
  • Simon Lentner

Best Publications

  • Invariant skew symmetric differential operators on the line and verma modules over the Virasoro algebra

    B. L. Feigin;D. B. Fuks

  • Quantization of the Drinfeld-Sokolov reduction

    Boris Feigin;Edward Frenkel

  • AFFINE KAC-MOODY ALGEBRAS AT THE CRITICAL LEVEL AND GELFAND-DIKII ALGEBRAS

    Boris Feigin;Edward Frenkel

  • Gaudin model, Bethe ansatz and critical level

    Boris Feigin;Edward Frenkel;Nikolai Reshetikhin

  • Verma modules over the virasoro algebra

    B. L. Feigin;D. B. Fuchs

  • A commutative algebra on degenerate CP1 and Macdonald polynomials

    B. Feigin;K. Hashizume;A. Hoshino;J. Shiraishi

  • Quantum $\scr W$-algebras and elliptic algebras

    Boris Feigin;Edward Frenkel

  • Modular Group Representations and Fusion in Logarithmic Conformal Field Theories and in the Quantum Group Center

    B.L. Feigin;A.M. Gainutdinov;A.M. Semikhatov;I.Yu. Tipunin

  • Super Liouville conformal blocks from N = 2 SU(2) quiver gauge theories

    V. Belavin;B. Feigin;B. Feigin

  • A commutative algebra on degenerate CP^1 and Macdonald polynomials

    B. Feigin;K. Hashizume;A. Hoshino;J. Shiraishi

  • Modular group representations and fusion in logarithmic conformal field theories and in the quantum group center

    BL Feigin;AM Gainutdinov;AM Semikhatov;IYu Tipunin

  • Additive K-theory

    B. L. Feigin;B. L. Tsygan

  • Heisenberg action in the equivariant K-theory of Hilbert schemes via Shuffle Algebra

    Boris Feigin;Alexander Tsymbaliuk

  • Logarithmic extensions of minimal models: characters and modular transformations.

    B.L. Feigin;A.M. Gainutdinov;A.M. Semikhatov;I.Yu. Tipunin

  • A family of representations of affine Lie algebras

    B L Feigin;E V Frenkel

  • Integrals of motion and quantum groups

    Boris Feigin;Edward Frenkel

  • Quantum Algebraic Approach to Refined Topological Vertex

    H. Awata;B. Feigin;B. Feigin;B. Feigin;J. Shiraishi

  • Quantum continuous $\mathfrak{gl}_{\infty}$: Semiinfinite construction of representations

    Boris Feigin;Evgeny Feigin;Masakazu Jimbo;T. Miwa

  • Quasi-particles models for the representations of Lie algebras and geometry of flag manifold

    Boris Feigin;A. V. Stoyanovsky

  • Kazhdan-Lusztig correspondence for the representation category of the triplet W-algebra in logarithmic CFT

    A. M. Gainutdinov;A. M. Semikhatov;I. Yu. Tipunin;B. L. Feigin

  • Quantum W-algebras and Elliptic Algebras

    Boris Feigin;Edward Frenkel

Frequent Co-Authors

Tetsuji Miwa
Tetsuji Miwa Kyoto University
Michio Jimbo
Michio Jimbo Rikkyo University
Edward Frenkel
Edward Frenkel University of California, Berkeley
Michael Finkelberg
Michael Finkelberg National Research University Higher School of Economics
Ivan Cherednik
Ivan Cherednik University of North Carolina at Chapel Hill
Hiraku Nakajima
Hiraku Nakajima Kavli Institute for the Physics and Mathematics of the Universe
Alexander Varchenko
Alexander Varchenko University of North Carolina at Chapel Hill
Thomas Creutzig
Thomas Creutzig University of Alberta
Igor B. Frenkel
Igor B. Frenkel Yale University
Masaki Kashiwara
Masaki Kashiwara Kyoto University

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