Professor of Number Theory
Research Interests:
Number theory and arithmetic geometry
Publications
Potential automorphy of $\hat{G}$-local systems
– Proceedings of the International Congress of Mathematicians Icm 2018
(2018)
2,
433
(doi: 10.17863/CAM.26614)
Modularity of n-dimensional galois representations
– Notices of the American Mathematical Society
(2017)
64,
225
A 2-adic automorphy lifting theorem for unitary groups over CM fields
– Mathematische Zeitschrift
(2017)
285,
1
(doi: 10.1007/s00209-016-1681-2)
On the $\mathrm {GL}_n$ GL n -eigenvariety and a conjecture of Venkatesh
– Selecta Mathematica New Series
(2017)
23,
1205
(doi: 10.1007/s00029-017-0303-0)
Potential Automorphy and the Leopoldt conjecture
– American Journal of Mathematics
(2017)
139,
1205
(doi: 10.1353/ajm.2017.0030)
Level-raising and symmetric power functoriality, III
– Duke Mathematical Journal
(2017)
166,
325
(doi: 10.1215/00127094-3714971)
On the rigid cohomology of certain Shimura varieties.
– Research in Mathematical Sciences
(2016)
3,
37
(doi: 10.1186/s40687-016-0078-5)
Automorphy of some residually
$S_5$
S
5
Galois representations
– Mathematische Zeitschrift
(2016)
286,
399
(doi: 10.1007/s00209-016-1766-y)
Arithmetic invariant theory and 2-descent for plane quartic curves
– Algebra and Number Theory
(2016)
10,
1373
(doi: 10.2140/ant.2016.10.1373)
On the φ-Selmer groups of the elliptic curves y 2 = x 3 − Dx
– Mathematical Proceedings of the Cambridge Philosophical Society
(2016)
163,
71
(doi: 10.1017/s0305004116000724)
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