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Faculty of Mathematics

 

Professor of Number Theory

Research Interests:

Number theory and arithmetic geometry

Publications

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
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 PGL(2)(F-p)-representations over totally real fields
PB Allen, CB Khare, JA Thorne
– Proceedings of the National Academy of Sciences of USA
(2021)
118,
e2108064118
Elliptic Curves and Modularity
J Thorne
(2021)
RAISING THE LEVEL OF AUTOMORPHIC REPRESENTATIONS OF GL(2n) OF UNITARY TYPE
C Anastassiades, JA Thorne
– Journal of the Institute of Mathematics of Jussieu
(2021)
21,
1421
Automorphy lifting for residually reducible -adic Galois representations, II
PB Allen, J Newton, JA Thorne
– Compositio Mathematica
(2020)
156,
2399
E8 and the average size of the 3‐Selmer group of the Jacobian of a pointed genus‐2 curve
B Romano, JA Thorne
– Proceedings of the London Mathematical Society
(2020)
122,
678
On subquotients of the étale cohomology of Shimura varieties
J Thorne, C Johansson
(2020)
457,
306
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Research Group

Number Theory & Algebra

Room

E1.18

Telephone

01223 764283