Professor of Number Theory
Research Interests:
Number theory and arithmetic geometry
Publications
On the average number of 2-selmer elements of elliptic curves over Fq(X) with two marked points
– Documenta Mathematica
(2019)
24,
1179
On the arithmetic of simple singularities of type E
– Research in Number Theory
(2018)
4,
21
(doi: 10.1007/s40993-018-0110-5)
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 GL$_{n}$-eigenvariety and a conjecture of Venkatesh
– Selecta Mathematica, New Series
(2017)
23,
1205
(doi: 10.1007/s00029-017-0303-0)
Level-raising and symmetric power functoriality, III
– Duke Mathematical Journal
(2017)
166,
325
(doi: 10.1215/00127094-3714971)
Potential automorphy and the leopoldt conjecture
– American Journal of Mathematics
(2017)
139,
1205
(doi: 10.1353/ajm.2017.0030)
On the rigid cohomology of certain Shimura varieties.
– Research in the 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)
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