Professor in Number Theory
Research Interests: My research interests are in arithmetical algebraic geometry and computational number theory. In particular I work on elliptic curve descent calculations, and the construction of explicit elements in the Tate-Shafarevich group.
Publications
Descent calculations for the elliptic curves of conductor 11
– Proceedings of the London Mathematical Society
(2003)
86,
583
(doi: 10.1112/S0024611502013977)
A counterexample to a conjecture of Selmer
(2003)
Number theory and algebraic geometry,
119
The Cassels–Tate pairing and the Platonic solids
– Journal of Number Theory
(2003)
98,
105
Some examples of 5 and 7 descent for elliptic curves over Q
– Journal of the European Mathematical Society
(2001)
3,
169
(doi: 10.1007/s100970100030)
Diagonal cubic equations in four variables with prime coefficients
(2001)
Rational points on algebraic varieties,
1
The density of integral quadratic forms having a k-dimensional totally isotropic subspace
– Rocky Mountain Journal of Mathematics
- <
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