Projects per year
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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Collaborations and top research areas from the last five years
Projects
- 1 Finished
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Arithmetic of hyperelliptic curves over local fields
Dokchitser, T., Dokchitser, V., Maistret, C. & Morgan, A., 20 Feb 2022, (E-pub ahead of print) In: Mathematische Annalen. 385, p. 1213-1322Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open Access4 Citations (Scopus) -
Tame torsion and the tame inverse Galois problem
Bisatt, M. & Dokchitser, T., 20 Mar 2021, (Accepted/In press) In: Mathematische Annalen. 381, p. 1439-1453Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open Access -
Models of curves over DVRs
Dokchitser, T., 20 Oct 2020, (Accepted/In press) In: Duke Mathematical Journal.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Activities
- 1 Fellowship awarded competitively
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University Research Fellowship - Elliptic curves and their L-functions.
Tim Dokchitser (Recipient)
1 Oct 2011 → 1 Oct 2014Activity: Other activity types › Fellowship awarded competitively