Tom Fisher's Home Page


Research

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.

I am compiling a list of genus one curves that are counter-examples to the Hasse principle and have Jacobian of small conductor. The list so far covers elements of Sha of order 3 and order 5.

The PhD theses of my students Mohammad Sadek, Graham Sills, Monique van Beek and Zexiang Chen are available by following these links.

Publications and Preprints

PhD Thesis    On 5 and 7 descents for elliptic curves


Last updated 8th November 2017