Status:
Professor of Mathematics
Diana Brown Fellow and Tutor in Pure Maths, Somerville College
Personal website:
ORCID iD:
https://orcid.org/0000-0002-7921-9691
Research groups:
Address
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Highlighted Publications:
Types and unitary representations of reductive p-adic groups
Inventiones Mathematicae
issue 1
volume 213
page 237-269
(1 February 2018)
Cocenters and representations of affine Hecke algebras
Journal of the European Mathematical Society
issue 10
volume 19
page 3143-3177
(18 September 2017)
A uniform classification of discrete series representations of affine Hecke algebras
ALGEBRA & NUMBER THEORY
issue 5
volume 11
page 1089-1134
(1 January 2017)
Green polynomials of Weyl groups, elliptic pairings, and the extended Dirac index
ADVANCES IN MATHEMATICS
volume 283
page 1-50
(1 October 2015)
Full text available
Dirac cohomology for symplectic reflection algebras
Selecta Mathematica
issue 1
volume 22
page 111-144
(21 August 2015)
CHARACTERS OF SPRINGER REPRESENTATIONS ON ELLIPTIC CONJUGACY CLASSES
DUKE MATHEMATICAL JOURNAL
issue 2
volume 162
page 201-223
(1 February 2013)
Full text available
Dirac cohomology for graded affine Hecke algebras
ACTA MATHEMATICA
issue 2
volume 209
page 197-227
(December 2012)
Full text available
Recent Publications:
The Dunkl-Cherednik deformation of a Howe duality
JOURNAL OF ALGEBRA
volume 560
page 914-959
(15 October 2020)
Full text available
Cocenters of p-adic groups, III: elliptic and rigid concenters
Peking Mathematical Journal
(13 October 2020)
Dirac induction for rational Cherednik algebras
International Mathematics Research Notices
(5 July 2018)
On the reducibility of induced representations for classical p-adic groups and related affine Hecke algebras
Israel Journal of Mathematics
issue 1
volume 231
page 379-417
(7 June 2019)
Research interests:
Representation theory of reductive Lie groups: the unitary dual, local Langlands correspondence, affine Hecke algebras, Coxeter groups, Dirac operators in representation theory.
Further details:
EPSRC "New Horizons" EP/V046713/1, 1/2021-12/2022 (PI)
EPSRC grant EP/N033922/1, 9/2016-8/2020 (PI)
Member of the editorial boards of Documenta Mathematica and Quarterly Journal of Mathematics.
Teaching:
Prelims examiner (chair)
Prizes, awards, and scholarships:
MPLS Teaching Award (2017)