Personal Website:
+44 1865 273549
Address
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Highlighted Publications:
Homogeneous spaces and degree 4 del Pezzo surfaces
Manuscripta Mathematica
issue 3
volume 129
page 369-380
(1 July 2009)
Cycles of covers
Monatshefte fur Mathematik
issue 3
volume 157
page 217-232
(1 July 2009)
Nontrivial Sha in the Jacobian of an Infinite Family of Curves of Genus 2.
J. Theor. Nombres Bordeaux
volume 21
page 1-9
(1 April 2009)
Descent via isogeny on elliptic curves with large rational torsion subgroups
Journal of Symbolic Computation
issue 4
volume 43
page 293-303
(1 April 2008)
Two-coverings of Jacobians of curves of genus two
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY
volume 104
page 387-429
(February 2012)
Full text available
Recent Publications:
Arbitrarily large Tate-Shafarevich group on Abelian surfaces
JOURNAL OF NUMBER THEORY
volume 186
page 248-258
(May 2018)
Full text available
Descent via (5,5)-isogeny on Jacobians of genus 2 curves
JOURNAL OF NUMBER THEORY
volume 153
page 270-282
(August 2015)
Full text available
Tight frames for cyclotomic fields and other rational vector spaces
LINEAR ALGEBRA AND ITS APPLICATIONS
volume 476
page 98-123
(1 July 2015)
Full text available
Torsion points on families of simple abelian surfaces and Pell's equation over polynomial rings (with an appendix by E. V. Flynn)
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY
issue 9
volume 17
page 2379-2416
(2015)
Full text available
Finite Weil restriction of curves
Monatshefte fur Mathematik
issue 2
volume 176
page 197-218
(1 January 2014)