Welcome to Vladimir Dokchitser's home page.

This page is still under construction, and will remain such until an unspecified
future date.

I am a Meggitt research fellow at Emmanuel College.

Interests: Several.

Other Interests: Many.

Some mathematical stuff:

Growth of Sha in towers for isogenous curves, with T.Dokchitser (January 2013)

A remark on Tate's algorithm and Kodaira types, with T.Dokchitser (September 2012)

to appear in Acta Arith.

Local invariants of isogenous elliptic curves, with T.Dokchitser (August 2012)

Euler factors determine local Weil representations, with T.Dokchitser (December 2011)

Surjectivity of mod 2^{n} representations of elliptic curves, with T.Dokchitser (April 2011)

to appear in Math. Z.

Identifying Frobenius elements in Galois groups, with T.Dokchitser (September 2010)

to appear in Algebra and Number Theory

A note on the Mordell-Weil rank modulo n, with T.Dokchitser,

J. Number Theory 131 (2011), 1833-1839

Root numbers and parity of ranks of elliptic curves, with T. Dokchitser,

J. Reine Angew. Math. 658 (2011), 39-64

A note on Larsen's conjecture and ranks of elliptic curves, with T. Dokchitser,

Bull. London Math. Soc. 41, no. 6 (2009), 1002-1008

Elliptic curves with all quadratic twists of positive rank, with T. Dokchitser,

Acta Arith. 137 (2009), 193-197

Regulator constants and the parity conjecture, with T. Dokchitser,

Invent. Math. 178, no. 1 (2009), 23-73

Self-duality of Selmer groups, with T. Dokchitser,

Math. Proc. Cambridge Philos. Soc. 146 (2009), 257-267

Root numbers of elliptic curves in residue characteristic 2, with T. Dokchitser,

Bull. London Math. Soc. 40 (2008), 516-524

On the
Birch-Swinnerton-Dyer quotients modulo squares, with T. Dokchitser,

Annals of Math. 172, no. 1 (2010), 567-596

Parity of ranks for
elliptic curves with a cyclic isogeny, with T. Dokchitser,

J. Number Theory 128 (2008), 662-679

Computations in non-commutative
Iwasawa theory, with T. Dokchitser

(appendix by J. Coates and R. Sujatha),
Proc. London Math. Soc. (3) 94 (2006) 211-272

Algebraicity of L-values
for elliptic curves in a false Tate curve tower, with Th. Bouganis,

Math. Proc. Cambridge Philos. Soc. 142 (2007) 2, 193-204

L-functions of non-abelian twists of
elliptic curves (Ph.D. thesis, August 2005)

Root
numbers of non-abelian twists of elliptic curves

(appendix by T. Fisher), Proc. London Math. Soc. (3) 91
(2005), 300-324

Computing
L-values of twists of elliptic curves
and numerical
data (essay, January 2004)

On
the 6-colour conjecture in R^3
(preprint, August 2003)

Other works of art:

John
Coates' mathematical family tree

2003
Part IV Examination Paper