Projects per year
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
for my publications, summer school lecture notes and the like.
Dokchitser, T., 20 Oct 2020, (Accepted/In press) In : arXiv. 44 p.
Research output: Contribution to journal › Article (Academic Journal)
Dokchitser, T., Dokchitser, V. & Morgan, A. J., 17 Feb 2020, (Accepted/In press) In : Proceedings of the AMS. 13 p.
Research output: Contribution to journal › Article (Academic Journal)Open Access
Dokchitser, T., Dokchitser, V. & Morgan, A., 22 Jan 2019, Algebraic Curves and Their Applications. Beshaj, L. & Shaska, T. (eds.). American Mathematical Society, p. 73-136 64 p. (Contemporary Mathematics; vol. 724).
Research output: Chapter in Book/Report/Conference proceeding › Chapter in a bookOpen AccessFile99 Downloads (Pure)