Professor of Number Theory
Research Interests:
Number theory and arithmetic geometry
Publications
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 & Number Theory
(2016)
10,
1373
(DOI: 10.2140/ant.2016.10.1373)
On the $\phi$-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)
TORSION GALOIS REPRESENTATIONS over CM FIELDS and HECKE ALGEBRAS in the DERIVED CATEGORY
– Forum of Mathematics Sigma
(2016)
4,
e21
(DOI: 10.1017/fms.2016.16)
Automorphy of some residually dihedral Galois representations
– Mathematische Annalen
(2015)
364,
589
(DOI: 10.1007/s00208-015-1214-z)
Equidistribution of Frobenius Eigenvalues
– International Mathematics Research Notices
(2015)
2015,
11388
(DOI: 10.1093/imrn/rnv026)
Level raising and symmetric power functoriality, II
– Annals of Mathematics
(2015)
181,
303
(DOI: 10.4007/annals.2015.181.1.5)
Automorphy lifting for residually reducible $l$-adic Galois representations
– Journal of the American Mathematical Society
(2015)
28,
785
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