MathsNet: Research Student Directory

Name Vavasour, Thomas B
Group Number Theory and Geometry
Room B16, Math Sci
Telephone +44 (0) 115 95 14935 [direct dial]
Email
Thesis Title Cohomology of elliptic curves
Thesis Abstract The conjecture of Birch and Swinnerton-Dyer relates the arithmetic of elliptic curves defined over a number field to the analytically defined L-function. The arithmetic side involves the rank of the Mordell-Weil group and the order of a cohomologically defined Tate-Shafarevich group. Refinement of this conjecture, like the equivariant Tamagawa number conjecture, study the variation of these under Galois extensions. In certain special situations it is possible to use Kolyvagin's derivative method for constructing Galois cohomology classes even when the Galois group is not abelian.
School contact information School of Mathematical Sciences
University of Nottingham
University Park
Nottingham, NG7 2RD
UK
Tel: +44 (0) 115 951 4949
Fax: +44 (0) 115 951 4951