PhD projects

I mostly work in algebraic number theory and elliptic curves, and especially with things related to Birch-Swinnerton-Dyer Conjecture and arithmetic of L-functions. I am also interested in all kinds of connections between number theory and Galois theory, finite groups and representation theory. Most of the things that I do rely heavily on computers and computational algebra systems. I use computer experiments a lot to formulate and to test conjectures, and to get inspiration about their proofs as well.

I have various projects that concern elliptic or hyperelliptic curves, abelian varieties and their $L$-functions; feel free to drop by to discuss them if you are interested. You can also have a look on my home page
  http://www.maths.bris.ac.uk/~matyd/
for my publications, summer school lecture notes and the like.