D. Gaitsgory

Mathematical Physics · 2000–2019

A researcher in the Science corpus: 24 papers; trusts 45 researchers and is trusted by 49 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 89 citations into it; #193 of 8,562 by trust here, #145 by citations
• Geometry and Topology — 80 citations into it; #187 of 7,422 by trust here, #154 by citations
• Algebra and Number Theory — 45 citations into it; #168 of 2,864 by trust here, #171 by citations
• Statistical and Nonlinear Physics — 11 citations into it; #5,639 of 10,127 by trust here, #7,024 by citations
• Discrete Mathematics and Combinatorics — 5 citations into it; #704 of 2,017 by trust here, #1,051 by citations

Whom D. Gaitsgory trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Jacob Lurie
2. V. Drinfeld
3. I. Mirkovic
4. Alberto S. Cattaneo
5. D. Arinkin
6. J. Francis
7. Simon Schieder
8. K. Vilonen
9. N. Rozenblyum
10. David Ben-Zvi

Who trusts D. Gaitsgory overall

1. E. Frenkel
2. V. Drinfeld
3. Y. Sakellaridis
4. D. Arinkin
5. T. Mochizuki
6. E. Witten
7. A. Kapustin
8. R. Bezrukavnikov
9. David Ben-Zvi
10. Xinwen Zhu

Papers from D. Gaitsgory's perspective

Ordered by how strongly the researchers D. Gaitsgory trusts endorse each paper. Same corpus, a different order for every researcher.

1. Higher Topos Theory
2. Integral Transforms and Drinfeld Centers in Derived Algebraic Geometry
3. On a vanishing conjecture appearing in the geometric Langlands correspondence
4. Homotopical Algebraic Geometry II: Geometric Stacks and Applications
5. the stable derived category of a noetherian scheme (Compositio Mathematica)
6. Electric-Magnetic Duality And The Geometric Langlands Program
7. Geometric Langlands duality and representations of algebraic groups over commutative rings
8. On the AKSZ Formulation of the Poisson Sigma Model
9. Chiral Koszul duality
10. Triangulated categories of singularities and D-branes in Landau-Ginzburg models

Their papers

• Weil's Conjecture for Function Fields (2019) — 80 citations
• A Study in Derived Algebraic Geometry, Part 1: Volume I: Correspondences and Duality (2017) — 130 citations
• A Study in Derived Algebraic Geometry, Part 2: Volume II: Deformations, Lie Theory and Formal Geometry (2017) — 108 citations
• Parameters and duality for the metaplectic geometric Langlands theory (2016) — 47 citations
• Sheaves of categories and the notion of 1-affineness (2013) — 133 citations
• ON A THEOREM OF BRADEN (2013) — 67 citations
• Outline of the proof of the geometric Langlands conjecture for $GL_2$ (2013) — 65 citations
• Singular support of coherent sheaves and the geometric Langlands conjecture (2012) — 208 citations
• Compact generation of the category of D-modules on the stack of G-bundles on a curve (2011) — 77 citations
• Ind-coherent sheaves (2011) — 130 citations
• Crystals and D-modules (2011) — 89 citations
• On Some Finiteness Questions for Algebraic Stacks (2011) — 145 citations
• Chiral Koszul duality (2011) — 122 citations
• Contractibility of the space of rational maps (2011) — 53 citations
• Twisted Whittaker model and factorizable sheaves (2007) — 67 citations
• Spherical varieties and Langlands duality (2006) — 51 citations
• Local geometric Langlands correspondence and affine Kac-Moody algebras (2005) — 144 citations
• On De Jong’s conjecture (2004) — 87 citations
• An introduction to the Langlands program (2004) — 137 citations
• Representations of algebraic groups over a 2-dimensional local field (2003) — 48 citations