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Mathematics

D-Index
37
Citations
4519
World Ranking
2545
National Ranking
1053

Research.com Recognitions

  • 2020 - Member of the National Academy of Sciences

Overview

Dennis Gaitsgory is affiliated with Harvard University in the United States and specializes in the field of Mathematics. Their research primarily covers the areas of Mathematical Physics, Geometry and Topology, and Algebra and Number Theory, with additional work touching upon Astronomy and Astrophysics and Statistical and Nonlinear Physics.

Their main topics of study include advanced algebra and geometry, algebraic structures and combinatorial models, homotopy and cohomology in algebraic topology, as well as advanced topics in algebra and algebraic geometry and number theory. Gaitsgory's work also addresses research in advanced differential geometry and explores geometric and algebraic topology.

Gaitsgory has published extensively, with a notable number of publications appearing in the following venues:

  • arXiv (Cornell University)
  • Advances in Mathematics
  • Indagationes Mathematicae
  • Pure and Applied Mathematics Quarterly
  • Publications of the Research Institute for Mathematical Sciences

Recent papers authored by Dennis Gaitsgory include:

  • The local and global versions of the Whittaker category (2020, Pure and Applied Mathematics Quarterly)
  • A toy model for the Drinfeld-Lafforgue shtuka construction (2021, Indagationes Mathematicae)
  • The stack of local systems with restricted variation and geometric Langlands theory with nilpotent singular support (2020, arXiv)
  • A Conjectural Extension of the Kazhdan-Lusztig Equivalence (2021, Publications of the Research Institute for Mathematical Sciences)
  • On factorization algebras arising in the quantum geometric Langlands theory (2021, Advances in Mathematics)

Frequent collaborators in their research include:

  • Yakov Varshavsky
  • Sam Raskin
  • Nick Rozenblyum
  • David Kazhdan
  • D. Arinkin

In 2020, Dennis Gaitsgory was recognized as a Member of the National Academy of Sciences.

Best Publications

  • A Study in Derived Algebraic Geometry, Part 1: Volume I: Correspondences and Duality

    Dennis Gaitsgory;Nick Rozenblyum

  • Poincaré–Birkhoff–Witt Theorem for Quadratic Algebras of Koszul Type

    Unknown

  • Construction of central elements in the affine Hecke algebra via nearby cycles

    D. Gaitsgory

  • Geometric Eisenstein series

    A. Braverman;D. Gaitsgory

  • Singular support of coherent sheaves and the geometric Langlands conjecture

    Dima Arinkin;Dennis Gaitsgory

  • The Gerbe Of Higgs Bundles

    R.Y. Donagi;D. Gaitsgory

  • An introduction to the Langlands program

    Joseph Bernstein;Stephen S. Gelbart;Daniel Bump;James W. Cogdell

  • Local geometric Langlands correspondence and affine Kac-Moody algebras

    Edward Frenkel;Dennis Gaitsgory

  • On the geometric Langlands conjecture

    E. Frenkel;D. Gaitsgory;K. Vilonen

  • Whittaker patterns in the geometry of moduli spaces of bundles on curves

    Edward Frenkel;Dennis Gaitsgory;Kari Vilonen

  • Chiral Koszul Duality

    John Francis;Dennis Gaitsgory

  • Ind-coherent sheaves

    Dennis Gaitsgory

  • On De Jong’s conjecture

    D. Gaitsgory

  • Another realization of the category of modules over the small quantum group

    Sergey Arkhipov;Dennis Gaitsgory

  • Uhlenbeck Spaces via Affine Lie Algebras

    Alexander Braverman;Michael Finkelberg;Dennis Gaitsgory

  • On Some Finiteness Questions for Algebraic Stacks

    Vladimir Drinfeld;Dennis Gaitsgory

  • Crystals via the affine Grassmannian

    Alexander Braverman;Dennis Gaitsgory

  • Intersection cohomology of Drinfeld‚s compactifications

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

  • On a vanishing conjecture appearing in the geometric Langlands correspondence

    Dennis Gaitsgory

  • Differential operators on the loop group via chiral algebras

    S. Arkhipov;D. Gaitsgory

  • Crystals and D-modules

    Dennis Gaitsgory;Nick Rozenblyum

  • Sheaves of categories and the notion of 1-affineness

    Dennis Gaitsgory

Frequent Co-Authors

Edward Frenkel
Edward Frenkel University of California, Berkeley
Michael Finkelberg
Michael Finkelberg National Research University Higher School of Economics
David Kazhdan
David Kazhdan Hebrew University of Jerusalem
Alexander Goncharov
Alexander Goncharov Yale University
Ron Donagi
Ron Donagi University of Pennsylvania

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