Professor of Number Theory
Research Interests:
Number theory and arithmetic geometry
Publications
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 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)
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 l -adic Galois representations
– Journal of the American Mathematical Society
(2015)
28,
785
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)
Level-raising and symmetric power functoriality, I
– Compositio Mathematica
(2014)
150,
1
(doi: 10.1112/S0010437X13007653)
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