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Faculty of Mathematics

 

Professor of Number Theory

Research Interests:

Number theory and arithmetic geometry

Publications

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
Automorphy of some residually $S_5$ 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 & 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
TORSION GALOIS REPRESENTATIONS over CM FIELDS and HECKE ALGEBRAS in the DERIVED CATEGORY
J Newton, JA Thorne
– Forum of Mathematics Sigma
(2016)
4,
e21
Automorphy of some residually dihedral Galois representations
JA Thorne
– Mathematische Annalen
(2015)
364,
589
Equidistribution of Frobenius Eigenvalues
JA Thorne
– International Mathematics Research Notices
(2015)
2015,
11388
Level raising and symmetric power functoriality, II
L Clozel, JA Thorne
– Annals of Mathematics
(2015)
181,
303
Automorphy lifting for residually reducible $l$-adic Galois representations
JA Thorne
– Journal of the American Mathematical Society
(2015)
28,
785
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Research Group

Number Theory & Algebra

Room

E1.18

Telephone

01223 764283