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
The Cassels–Tate pairing and the Platonic solids
– Journal of Number Theory
(2003)
98,
105
A counterexample to a conjecture of Selmer
(2003)
Number theory and algebraic geometry,
119
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 polynomials of degree n over Zp having exactly r roots in Qp
– Proceedings of the London Mathematical Society
Computing structure constants for rings of finite rank from minimal free resolutions
– Mathematical Research Letters
The density of integral quadratic forms having a k-dimensional totally isotropic subspace
– Rocky Mountain Journal of Mathematics
- <
- 5 of 5