skip to content

Department of Pure Mathematics and Mathematical Statistics

Professor of Number Theory

Research Interests:

Number theory and arithmetic geometry

Publications

A p-adic approach to the existence of level-raising congruences
JA Thorne
– Proceedings of the London Mathematical Society
(2024)
128,
Modularity of $\mathrm{GL}_2 (\mathbb{F}_p)$-representations over CM fields
PB Allen, C Khare, JA Thorne
– Cambridge Journal of Mathematics
(2023)
11,
1
Potential Automorphy over CM Fields
PB Allen, F Calegari, A Caraiani, T Gee, D Helm, BV Le Hung, J Newton, P Scholze, R Taylor, JA Thorne
– Annals of Mathematics
(2023)
197,
897
Automorphy lifting with adequate image
K Miagkov, JAA Thorne
– Forum of Mathematics, Sigma
(2023)
11,
e8
A local Langlands parameterization for generic supercuspidal representations of $p$-adic $G_2$
M Harris, CB Khare, JA Thorne
– Annales Scientifiques de l École Normale Supérieure
(2023)
56,
257
Adjoint Selmer groups of automorphic Galois representations of unitary type
J Newton, JA Thorne
– Journal of the European Mathematical Society
(2022)
25,
1919
On the vanishing of adjoint Bloch--Kato Selmer groups of irreducible automorphic Galois representations
JA Thorne
– Pure and Applied Mathematics Quarterly
(2022)
18,
2159
Symmetric power functoriality for holomorphic modular forms
J Newton, JA Thorne
– Publications mathématiques de l'IHÉS
(2021)
134,
1
Symmetric power functoriality for holomorphic modular forms, II
J Newton, JA Thorne
– Publications mathématiques de l'IHÉS
(2021)
134,
117
Modularity of PGL2(Fp)-representations over totally real fields
PB Allen, CB Khare, JA Thorne
– Proceedings of the National Academy of Sciences
(2021)
118,
e2108064118
  • 1 of 5
  • >

Room

E1.18

Telephone

01223 764283