Status:
UKRI Future Leaders Fellow
Associate Professor of Number Theory
Tutorial Fellow, Merton College
Personal website:
+44 1865 615238
ORCID iD:
https://orcid.org/0000-0002-9332-5204
Research groups:
Address
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Recent Publications:
Automorphy lifting for residually reducible l-adic Galois representations, II
Compositio Mathematica
issue 11
volume 156
page 2399-2422
(15 December 2020)
Monodromy for some rank two Galois representations over CM fields
Documenta Mathematica
volume 25
page 2487-2506
(6 November 2020)
PATCHING and the COMPLETED HOMOLOGY of LOCALLY SYMMETRIC SPACES
Journal of the Institute of Mathematics of Jussieu
(27 May 2020)
Local langlands correspondence in rigid families
Pacific Journal of Mathematics
issue 1
volume 304
page 65-102
(1 January 2020)
PARALLEL WEIGHT 2 POINTS on HILBERT MODULAR EIGENVARIETIES and the PARITY CONJECTURE
Forum of Mathematics, Sigma
(4 September 2019)
Research interests:
Algebraic number theory, particularly Galois representations and the arithmetic of automorphic forms.
Major / recent publications:
Potential automorphy over CM fields, with P. Allen, F. Calegari, A. Caraiani, T. Gee, D. Helm, B. V. Le Hung, P. Scholze, R. Taylor and J. Thorne
Symmetric power functoriality for holomorphic modular forms, with J. Thorne
Symmetric power functoriality for holomorphic modular forms, II, with J. Thorne