Professor of Number Theory
Research Interests:
Number theory and arithmetic geometry
Publications
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)
E6 AND THE ARITHMETIC OF A FAMILY OF NON-HYPERELLIPTIC CURVES OF GENUS 3
– Forum of Mathematics Pi
(2015)
3,
e1
(doi: 10.1017/fmp.2014.2)
Automorphy lifting for residually reducible l-adic galois representations
– Journal of the American Mathematical Society
(2015)
28,
785
Level-raising and symmetric power functoriality, I
– Compositio Mathematica
(2014)
150,
729
(doi: 10.1112/s0010437x13007653)
A remark on the arithmetic invariant theory of hyperelliptic curves
– Mathematical Research Letters
(2014)
21,
1451
(doi: 10.4310/MRL.2014.v21.n6.a13)
Vinberg’s representations and arithmetic invariant theory
– Algebra and Number Theory
(2013)
7,
2331
(doi: 10.2140/ant.2013.7.2331)
On the automorphy of l-adic Galois representations with small residual image With an appendix by Robert Guralnick, Florian Herzig, Richard Taylor and Jack Thorne
– Journal of the Institute of Mathematics of Jussieu
(2012)
11,
855
(doi: 10.1017/s1474748012000023)
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