Dr James Newton

Status

Academic Faculty

UKRI Future Leaders Fellow

Associate Professor of Number Theory

Tutorial Fellow, Merton College

ORCID iD

Research groups

Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Recent publications

Adjoint Selmer groups of automorphic Galois representations of unitary type

Newton, J Thorne, J Journal of the European Mathematical Society (07 Apr 2022)

Symmetric power functoriality for holomorphic modular forms

Newton, J Thorne, J Publications mathématiques de l'IHÉS volume 134 issue 1 1-116 (15 Oct 2021)

Symmetric power functoriality for holomorphic modular forms, II

Newton, J Thorne, J Publications mathématiques de l'IHÉS volume 134 issue 1 117-152 (11 Oct 2021)

Automorphy lifting for residually reducible l-adic Galois representations, II

Allen, P Newton, J Thorne, J Compositio Mathematica volume 156 issue 11 2399-2422 (15 Dec 2020)

Monodromy for some rank two Galois representations over CM fields

Allen, P Newton, J Documenta Mathematica volume 25 2487-2506 (06 Nov 2020)

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

Research interests

Algebraic number theory, particularly Galois representations and the arithmetic of automorphic forms.