Research

My research is broadly concerned with the representation theory of p-adic groups. In particular, this includes:

• Model structures on categories of smooth representations of p-adic reductive groups and on categories of pro-p Iwahori-Hecke modules, and their relationship;

• Quantum analogues of various algebras appearing in the locally analytic representation theory of p-adic reductive groups; and

• Applications of D-modules to the p-adic representation theory of p-adic groups via Beilinson-Bernstein localisation theory.

Papers and preprints

• Parabolic induction in the homotopy category of pro-p Iwahori-Hecke modules. arXiv:2312.12238 

• Model categories and pro-p Iwahori-Hecke modules (with J. Kohlhaase), J. Inst. Math. Jussieu, 23(3): 1029-1076, 2024.

• A Beilinson-Bernstein theorem for analytic quantum groups II, p-Adic Numbers, Ultrametric Analysis and Applications, 13(2): 83-116, 2021

• A Beilinson-Bernstein theorem for analytic quantum groups I, p-Adic Numbers, Ultrametric Analysis and Applications, 13(1): 44-82, 2021

• Rigid analytic quantum groups and quantum Arens-Michael envelopes, Journal of Algebra, 537: 98-146, 2019.

Other written work

• Locally Analytic Representations of p-adic groups, with A. Bode. Lecture notes from the LMS Autumn Algebra School, to appear in a proceedings volume by CUP

• Rigid Analytic Quantum Groups. PhD thesis (2019)

• Subgroups of Linear Algebraic Groups. Part III essay, supervised by Dr David Stewart.