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Faculty of Mathematics

 

Professor of Number Theory

Research Interests:

Number theory and arithmetic geometry

Publications

Congruences between modular forms
JA Thorne
– Proceedings - Mathematical Sciences
(2024)
134,
9
A p-adic approach to the existence of level-raising congruences
JA Thorne
– Proceedings of the London Mathematical Society
(2024)
128,
Elliptic curves and modularity
JA Thorne
– European Congress of Mathematics
(2023)
643
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
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Research Group

Number Theory & Algebra

Room

E1.18

Telephone

01223 764283