Professor Vladimir Dokchitser
Telephone: +44 020 7848 2215
Office: S4.05, Strand Building, Strand Campus
Title: Professor of Number Theory and Royal Society University Research Fellow in the Number Theory research group
Professor Dokchitser was an undergraduate and a graduate student at Trinity College, Cambridge. He then held a one-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 University in 2013, and finally came to King's as a Reader in Number Theory in 2016. Since 2013 he has held a Royal Society University Research Fellowship. He was promoted to Professor in 2018.
- Arithmetic of elliptic curves
- The Birch--Swinnerton-Dyer conjecture and other L-value conjectures
- Galois representations
- Hyperelliptic curves and their Jacobians
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.