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Department of Pure Mathematics and Mathematical Statistics

Professor of Number Theory

Research Interests:

Number theory and arithmetic geometry

Publications

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, New Series
(2017)
23,
1205
Potential automorphy and the leopoldt conjecture
CB Khare, JA Thorne
– American Journal of Mathematics
(2017)
139,
1205
Level-raising and symmetric power functoriality, III
L Clozel, JA Thorne
– Duke Mathematical Journal
(2017)
166,
325
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
Automorphy of some residually S$_5$ Galois representations
CB Khare, JA Thorne
– Mathematische Zeitschrift
(2016)
286,
399
Arithmetic invariant theory and 2-descent for plane quartic curves
JA Thorne, T Kaletha
– Algebra and Number Theory
(2016)
10,
1373
On the $\phi$-Selmer groups of the elliptic curves y$^2$ = x$^3$ - Dx
DM Kane, JA Thorne
– Mathematical Proceedings of the Cambridge Philosophical Society
(2016)
163,
71
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Room

E1.18

Telephone

01223 764283