Geordie Williamson

Geometry and Topology · 2009–2021

A researcher in the Science corpus: 12 papers; trusts 28 researchers and is trusted by 14 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 97 citations into it; #1,348 of 7,422 by trust here, #864 by citations
• Mathematical Physics — 76 citations into it; #2,539 of 8,562 by trust here, #3,022 by citations
• Discrete Mathematics and Combinatorics — 52 citations into it; #522 of 2,017 by trust here, #232 by citations
• Algebra and Number Theory — 44 citations into it; #536 of 2,864 by trust here, #550 by citations
• Statistical and Nonlinear Physics — 8 citations into it

Whom Geordie Williamson trusts overall

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

1. P. Fiebig
2. I. Mirkovic
3. Ben Elias
4. R. Bezrukavnikov
5. Sergey V. Arkhipov
6. D. Juteau
7. K. Vilonen
8. Shrawan Kumar
9. Tom Braden
10. A. Beilinson

Who trusts Geordie Williamson overall

1. Ben Elias
2. Marco Mackaay
3. L. T. Jensen
4. Simon Riche
5. Marko Stosic
6. Pedro Vaz
7. Pramod N. Achar
8. Volodymyr Mazorchuk
9. June Huh
10. Jonathan Brundan

Papers from Geordie Williamson's perspective

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

1. Geometric Langlands duality and representations of algebraic groups over commutative rings
2. Kac-Moody Groups
3. Hyperbolic localization of intersection cohomology
4. Their flag varieties and representation theory
5. Cohomology of tilting modules over quantum groups and t-structures on derived categories of coherent sheaves
6. Quantum groups, the loop Grassmannian, and the Springer resolution
7. Hard Lefschetz theorem for nonrational polytopes
8. Intersection Cohomology on Nonrational Polytopes⋆ (Compositio Mathematica)
9. Tilting exercises
10. Derived equivalences and finite dimensional algebras

Their papers

• Advancing mathematics by guiding human intuition with AI (2021) — 574 citations
• Introduction to Soergel Bimodules (2020) — 64 citations
• Reflection Groups and Coxeter Groups (2020) — 82 citations
• Koszul duality for Kac–Moody groups and characters of tilting modules (2017) — 92 citations
• Tilting modules and the p-canonical basis (2015) — 143 citations
• The $p$-Canonical Basis for Hecke Algebras (2015) — 71 citations
• Soergel Calculus (2013) — 187 citations
• Schubert calculus and torsion explosion (2013) — 140 citations
• The Hodge theory of Soergel bimodules (2012) — 274 citations
• Parity sheaves, moment graphs and the p-smooth locus of Schubert varieties (2010) — 52 citations
• Singular Soergel bimodules (2010) — 93 citations
• Parity Sheaves (2009) — 127 citations