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Dr Vladimir Dokchitser

VladimirDokchitser

Telephone: +44 020 7848 2215

Email: vladimir.dokchitser@kcl.ac.uk

Office: S4.05, Strand Building, Strand Campus

Title: Reader and Royal Society University Research Fellow in the Number Theory research group

 

Biography:

Dr Dokchitser was an undergraduate and a graduate student at Trinity College, Cambridge. He then held a 1-year postdoctoral position at the Max Planck Institute in Bonn before returning to Cambridge first as a Junior Research Fellow at Gonville & Caius College, and then as the Meggitt Fellow at Emmanuel College. He moved to Warwick in 2013, and finally came to King's as a Reader in Number Theory in 2016. Since 2013 he has held a Royal Society Univerity Research Fellowship.


Research Interests:

* Arithmetic of elliptic curves,
* The Birch--Swinnerton-Dyer conjecture and other L-value conjectures,
* Galois representations,
* Hyperelliptic curves and their Jacobians.


Selected publications:

Euler factors determine local Weil representations, with T. Dokchitser, J. Reine Angew. Math. 717 (2016), 35--46.

Root numbers and parity of ranks of elliptic curves, with T. Dokchitser,  J. Reine Angew. Math. 658 (2011), 39--64.

On the Birch--Swinnerton-Dyer quotients modulo squares, with T. Dokchitser, Annals of Math. 172 no 1 (2010) 567--596.

Regulator constants and the parity conjecture, with T. Dokchitser, Invent. Math. 178 no 1 (2009), 23--73.   

Root numbers of non-abelian twists of elliptic curves, with an appendix by T. Fisher, Proc. London Math. Soc. (3) 91 (2005) 300--324.

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