## Status:

Professor of Mathematics

Diana Brown Fellow and Tutor in Pure Maths, Somerville College

## Personal website:

+44 1865 270715

## 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

## Recent Publications:

On the reducibility of induced representations for classical p-adic groups and related affine Hecke algebras

Israel Journal of Mathematics
(1 April 2019)

An Euler-Poincare formula for a depth zero Bernstein projector

Representation Theory
(28 March 2019)

An Euler-Poincare formula for a depth zero Bernstein projector

REPRESENTATION THEORY
volume 23
page 154-187
(28 March 2019)
Full text available

One-W-type modules for rational Cherednik algebra and cuspidal two-sided
cells

Bulletin of the Institute of Mathematics Academia Sinica
issue 1
volume 13
page 1-29
(1 March 2018)
Full text available

OUP accepted manuscript

International Mathematics Research Notices
(2018)

Types and unitary representations of reductive p-adic groups.

Inventiones mathematicae
issue 1
volume 213
page 237-269
(January 2018)

Cocenters and representations of affine Hecke algebras

Journal of the European Mathematical Society
issue 10
volume 19
page 3143-3177
(15 September 2017)

A uniform classification of discrete series representations of affine Hecke algebras

ALGEBRA & NUMBER THEORY
issue 5
volume 11
page 1089-1134
(2017)
Full text available

On the Elliptic Nonabelian Fourier Transform for Unipotent Representations of p-Adic Groups

`Representation Theory, Number Theory, and Invariant Theory: In Honor of Roger Howe on the Occasion of His 70th Birthday'', Progress in Mathematics, Birkhauser
volume 323
page 87-113
(1 January 2017)

The cocenter of the graded affine Hecke algebra and the density theorem

JOURNAL OF PURE AND APPLIED ALGEBRA
issue 1
volume 220
page 382-410
(January 2016)
Full text available

## 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 grant EP/N033922/1, 9/2016-8/2020 (PI)

Member of the editorial boards of Documenta Mathematica and Quarterly Journal of Mathematics.

## Teaching:

B2.1: *Introduction to Representation Theory* (MT 18)

## Prizes, awards, and scholarships:

MPLS Teaching Award (2017)

## Major / recent publications:

Complete list: here.