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Faculty of Mathematics

 

Professor of Number Theory

Research Interests:

Number theory and arithmetic geometry

Publications

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
RAISING THE LEVEL OF AUTOMORPHIC REPRESENTATIONS OF GL2n 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
HC Johansson, J Thorne
(2020)
On subquotients of the étale cohomology of Shimura varieties
J Thorne, C Johansson
(2020)
457,
306
$\hat{G}$-local systems on smooth projective curves are potentially automorphic
J Thorne, M Harris, G Bockle, C Khare
– Acta Mathematica
(2019)
223,
1
Elliptic curves over $\mathbb{Q}_\infty$ are modular
JA Thorne
– Journal of the European Mathematical Society
(2019)
21,
1943
On the average number of 2-Selmer elements of elliptic curves over F_q(X) with two marked points
JA Thorne
– Documenta Mathematica
(2019)
24,
1179
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Research Group

Number Theory & Algebra

Room

E1.18

Telephone

01223 764283