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Overview

Michael Finkelberg is affiliated with the National Research University Higher School of Economics in the Russian Federation. The primary field of study is Mathematics, with a focus on several subfields including Geometry and Topology, Mathematical Physics, Algebra and Number Theory, Discrete Mathematics and Combinatorics, and Statistical and Nonlinear Physics.

The main topics of work include:

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

Michael Finkelberg has published multiple papers in various prestigious venues. Notable recent publications include:

  • Lusztig conjectures on S-cells in affine Weyl groups, 2021, Israel Journal of Mathematics
  • Elliptic zastava, 2022, Journal of Algebraic Geometry
  • Lagrangian subvarieties of hyperspherical varieties, 2023, arXiv (Cornell University)
  • Line bundles over Coulomb branches, 2021, Advances in Theoretical and Mathematical Physics
  • Orthosymplectic Satake equivalence, 2022, Communications in Number Theory and Physics

Frequent co-authors who have collaborated extensively with Michael Finkelberg include Alexander Braverman, Roman Travkin, David Kazhdan, Victor Ginzburg, and Vadim Schechtman.

Michael Finkelberg's works are frequently published in venues such as:

  • arXiv (Cornell University)
  • Advances in Theoretical and Mathematical Physics
  • Communications in Number Theory and Physics
  • Journal of Algebraic Geometry
  • Geometric and Functional Analysis

Best Publications

  • Towards a mathematical definition of Coulomb branches of $3$-dimensional $\mathcal N=4$ gauge theories, II

    Alexander Braverman;Michael Finkelberg;Hiraku Nakajima

  • An Equivalence of Fusion Categories.

    M. Finkelberg

  • Coulomb branches of $3d$ $\mathcal{N}=4$ quiver gauge theories and slices in the affine Grassmannian

    Alexander Braverman;Michael Finkelberg;Hiraku Nakajima

  • Uhlenbeck Spaces via Affine Lie Algebras

    Alexander Braverman;Michael Finkelberg;Dennis Gaitsgory

  • Coulomb branches of $3d$ $\mathcal N=4$ quiver gauge theories and slices in the affine Grassmannian (with appendices by Alexander Braverman, Michael Finkelberg, Joel Kamnitzer, Ryosuke Kodera, Hiraku Nakajima, Ben Webster, and Alex Weekes)

    Alexander Braverman;Michael Finkelberg;Hiraku Nakajima

  • A finite analog of the AGT relation I: finite W-algebras and quasimaps' spaces

    Alexander Braverman;Boris Feigin;Leonid Rybnikov;Michael Finkelberg

  • Yangians and cohomology rings of Laumon spaces

    Boris Feigin;Michael Finkelberg;Andrei Negut;Leonid Rybnikov

  • Intersection cohomology of Drinfeld‚s compactifications

    A. Braverman;M. Finkelberg;Dennis Gaitsgory;I. 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

  • INSTANTON MODULI SPACES AND W-ALGEBRAS

    Alexander Braverman;Michael Finkelberg;Hiraku Nakajima

  • A Finite Analog of the AGT Relation I: Finite W -Algebras and Quasimaps’ Spaces

    Alexander Braverman;Boris Feigin;Michael Finkelberg;Michael Finkelberg;Michael Finkelberg;Leonid Rybnikov;Leonid Rybnikov

  • Pursuing the double affine Grassmannian, I: Transversal slices via instantons on $A_k$-singularities

    Alexander Braverman;Michael Finkelberg

  • Quantization of Drinfeld Zastava in type A

    Michael Finkelberg;Leonid Rybnikov

  • Character D-modules via Drinfeld center of Harish-Chandra bimodules

    Roman Bezrukavnikov;Michael Finkelberg;Michael Finkelberg;Victor Ostrik

  • Semi-infinite Schubert varieties and quantum K -theory of flag manifolds

    Alexander Braverman;Michael Finkelberg

  • Weyl modules and q-Whittaker functions

    Alexander Braverman;Michael Finkelberg

  • Multiplicative Slices, Relativistic Toda and Shifted Quantum Affine Algebras

    Michael Finkelberg;Alexander Tsymbaliuk

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

    Roman Bezrukavnikov;Michael Finkelberg;Victor Ostrik

  • Cherednik algebras and Hilbert schemes in characteristic p

    Roman Bezrukavnikov;Michael Finkelberg;Victor Ginzburg

Frequent Co-Authors

Victor Ginzburg
Victor Ginzburg University of Chicago
Alexander Kuznetsov
Alexander Kuznetsov Steklov Mathematical Institute
Hiraku Nakajima
Hiraku Nakajima Kavli Institute for the Physics and Mathematics of the Universe
Dennis Gaitsgory
Dennis Gaitsgory Harvard University
Boris Feigin
Boris Feigin Hebrew University of Jerusalem
David Kazhdan
David Kazhdan Hebrew University of Jerusalem
Alexander Goncharov
Alexander Goncharov Yale University
Igor B. Frenkel
Igor B. Frenkel Yale University

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