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Department of Pure Mathematics and Mathematical Statistics

Professor of Number Theory

Research Interests:

Number theory and arithmetic geometry

Publications

$\hat{G}$-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 Fq(X) with two marked points
JA Thorne
– Documenta Mathematica
(2019)
24,
1179
Potential automorphy of $\hat{G}$-local systems
JA Thorne
(2018)
On the arithmetic of simple singularities of type E
B Romano, JA Thorne
– Res Number Theory
(2018)
4,
21
A 2-adic automorphy lifting theorem for unitary groups over CM fields
JA Thorne
– Mathematische Zeitschrift
(2017)
285,
1
On the $\mathrm {GL}_n$ GL n -eigenvariety and a conjecture of Venkatesh
D Hansen, JA Thorne
– Selecta Mathematica
(2017)
23,
1205
Level-raising and symmetric power functoriality, III
L Clozel, JA Thorne
– Duke Mathematical Journal
(2017)
166,
325
Potential automorphy and the leopoldt conjecture
CB Khare, JA Thorne
– American Journal of Mathematics
(2017)
139,
1205
On the rigid cohomology of certain Shimura varieties
M Harris, K-W Lan, R Taylor, J Thorne
– Research in the Mathematical Sciences
(2016)
3,
37
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Room

E1.18

Telephone

01223 764283