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Roman Bezrukavnikov

Roman Bezrukavnikov

D-Index & Metrics

Mathematics

D-Index
30
Citations
3259
World Ranking
3552
National Ranking
1373

Research.com Recognitions

  • 2004 - Fellow of Alfred P. Sloan Foundation

Overview

Roman Bezrukavnikov is affiliated with MIT in the United States. Their research primarily focuses on mathematics, with a strong emphasis on mathematical physics, geometry and topology, and algebra and number theory.

Their publication record includes 91 works in mathematics, covering subfields such as:

  • Mathematical Physics
  • Geometry and Topology
  • Algebra and Number Theory
  • Discrete Mathematics and Combinatorics
  • Statistical and Nonlinear Physics

Their main research topics span a variety of advanced mathematical domains, including:

  • Advanced Algebra and Geometry
  • Algebraic structures and combinatorial models
  • Advanced Topics in Algebra
  • Algebraic Geometry and Number Theory
  • Advanced Combinatorial Mathematics
  • Homotopy and Cohomology in Algebraic Topology
  • Commutative Algebra and Its Applications

Recent publications by Roman Bezrukavnikov include:

  • "Etingof's conjecture for quantized quiver varieties" (2020), Inventiones mathematicae
  • "On Parabolic Restriction of Perverse Sheaves" (2021), Publications of the Research Institute for Mathematical Sciences
  • "Hecke action on the principal block" (2022), Compositio Mathematica
  • "Modular affine Hecke category and regular unipotent centralizer" (2020), arXiv (Cornell University)
  • "Modular affine Hecke category and regular centralizer" (2022), arXiv (Cornell University)

Roman Bezrukavnikov frequently publishes in venues such as:

  • arXiv (Cornell University)
  • Inventiones mathematicae
  • Publications of the Research Institute for Mathematical Sciences
  • Compositio Mathematica
  • Pure and Applied Mathematics Quarterly

The scientist has collaborated extensively with coauthors including:

  • Simon Riche
  • Ivan Losev
  • Yakov Varshavsky
  • Vasily Krylov
  • Kostiantyn Tolmachov

Roman Bezrukavnikov was awarded the title of Fellow of the Alfred P. Sloan Foundation in 2004.

Best Publications

  • Localization of modules for a semisimple Lie algebra in prime characteristic

    Roman Bezrukavnikov;Ivan Mirković;Dmitriy Rumynin

  • Parabolic induction and restriction functors for rational Cherednik algebras

    Roman Bezrukavnikov;Pavel I. Etingof

  • Fedosov Quantization in Algebraic Context

    R. Bezrukavnikov;D. Kaledin

  • Quantum groups, the loop Grassmannian, and the Springer resolution

    Sergey Arkhipov;Roman Bezrukavnikov;Victor Ginzburg

  • Localization of modules for a semisimple Lie algebra in prime characteristic (with an Appendix by R. Bezrukavnikov and S. Riche: Computation for sl(3))

    Simon Riche;Ivan Mirkovic;Dmitriy Rumynin;Roman Bezrukavnikov

  • PERVERSE COHERENT SHEAVES

    Dmitry Arinkin;Roman Bezrukavnikov

  • McKay equivalence for symplectic resolutions of singularities

    R. Bezrukavnikov;D. Kaledin

  • On Koszul duality for Kac-Moody groups

    Roman Bezrukavnikov;Zhiwei Yun;Zhiwei Yun

  • Perverse coherent sheaves (after Deligne)

    Roman Bezrukavnikov

  • Tilting exercises

    A. Beilinson;R. Bezrukavnikov;I. Mirkovic

  • Noncommutative counterparts of the Springer resolution

    Roman Bezrukavnikov

  • Perverse sheaves on affine flags and langlands dual group

    Sergey Arkhipov;Roman Bezrukavnikov

  • Etingof conjecture for quantized quiver varieties

    Roman Bezrukavnikov;Ivan Losev

  • Representations of semisimple Lie algebras in prime characteristic and the noncommutative Springer resolution

    Roman Bezrukavnikov;Ivan Mirković

  • Cherednik algebras and Hilbert schemes in characteristic

    Roman Bezrukavnikov;Michael Finkelberg;Victor Ginzburg

  • Equivariant homology and K-theory of affine Grassmannians and Toda lattices

    Roman Bezrukavnikov;Michael Finkelberg;Ivan Mirkovic

  • Equivariant Satake Category and Kostant–Whittaker Reduction

    Unknown

  • Quasi-exceptional sets and equivariant coherent sheaves on the nilpotent cone

    Roman Bezrukavnikov

  • Fedosov quantization in positive characteristic

    Roman Bezrukavnikov;Dmitry Kaledin

  • Cohomology of tilting modules over quantum groups and t-structures on derived categories of coherent sheaves

    Roman Bezrukavnikov

  • On tensor categories attached to cells in affine Weyl groups II

    Roman Bezrukavnikov;Viktor Ostrik

  • Affine braid group actions on derived categories of springer resolutions

    Roman Bezrukavnikov;Simon Riche

  • On two geometric realizations of an affine Hecke algebra

    Roman Bezrukavnikov;Roman Bezrukavnikov

  • On tensor categories attached to cells in affine Weyl groups, III

    Roman Bezrukavnikov;Michael Finkelberg;Victor Ostrik

Frequent Co-Authors

Michael Finkelberg
Michael Finkelberg National Research University Higher School of Economics
David Kazhdan
David Kazhdan Hebrew University of Jerusalem
Dennis Gaitsgory
Dennis Gaitsgory Harvard University
Victor Ginzburg
Victor Ginzburg University of Chicago
Martin W. Liebeck
Martin W. Liebeck Imperial College London
Alexander Goncharov
Alexander Goncharov Yale University

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