Professor Tim Dokchitser

BSc(Lund), MSc(Lund), PhD(Utrecht), MA(Cantab.)

  • BS8 1UG

20092020

Research output per year

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Personal profile

Research interests

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.

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Projects

Arithmetic of hyperelliptic curves.

Dokchitser, T.

1/06/1530/11/18

Project: Research

Research Output

  • 14 Article (Academic Journal)
  • 2 Working paper and Preprints
  • 1 Chapter in a book
  • 1 Other contribution

Tate module and bad reduction

Dokchitser, T., Dokchitser, V. & Morgan, A. J., 17 Feb 2020, (Accepted/In press) In : Proceedings of the AMS. 13 p.

Research output: Contribution to journalArticle (Academic Journal)

Open Access

Semistable types of hyperelliptic curves

Maistret, C., 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 proceedingChapter in a book

Open Access
File
  • 92 Downloads (Pure)

    3-torsion and conductor of genus 2 curves

    Dokchitser, T. & Doris, C., 14 Nov 2018, In : Mathematics of Computation. 88, p. 1913-1927 15 p.

    Research output: Contribution to journalArticle (Academic Journal)

    Open Access
    File
  • 192 Downloads (Pure)

    Activities

    • 1 Fellowship awarded competitively

    University Research Fellowship - Elliptic curves and their L-functions.

    Tim Dokchitser (Recipient)

    1 Oct 20111 Oct 2014

    Activity: Other activity typesFellowship awarded competitively

    Supervised Work

    Aspects of p-adic computation

    Author: Doris, C., 25 Jun 2019

    Supervisor: Dokchitser, T. (Supervisor)

    Student thesis: Doctoral ThesisDoctor of Philosophy (PhD)

    File