78 citations · 347 across the 30 of their papers we have counts for
45 papers
Is deep learning a useful tool for the pure mathematician?
Geordie Williamson
A personal and informal account of what a pure mathematician might expect when using tools from deep learning in their research.
Perfecting group schemes
Kevin Coulembier, Geordie Williamson
We initiate a systematic study of the perfection of affine group schemes of finite type over fields of positive characteristic. The main result intrinsically characterises and clas…
Towards combinatorial invariance for Kazhdan-Lusztig polynomials
Charles Blundell, Lars Buesing, Alex Davies +2
Kazhdan-Lusztig polynomials are important and mysterious objects in representation theory. Here we present a new formula for their computation for symmetric groups based on the Bru…
Langlands correspondence and Bezrukavnikov's equivalence
Anna Romanov, Geordie Williamson
These are lecture notes (by the first author) from a course (by the second author) given over two extended semesters at the University of Sydney. The first part provides an introdu…
Localized calculus for the Hecke category
Ben Elias, Geordie Williamson
We construct a functor from the Hecke category to a groupoid built from the underlying Coxeter group. This fixes a gap in an earlier work of the authors. This functor provides an a…
Lectures on the Geometry and Modular Representation Theory of Algebraic Groups
Joshua Ciappara, Geordie Williamson
These notes provide a concise introduction to the representation theory of reductive algebraic groups in positive characteristic, with an emphasis on Lusztig's character formula an…