2004 SAGE: Summer of Arithmetic Geometry Experience

(Click here for the SAGE computer algebra system.)

Projects

This was the initial plan, and these are the projects the students ended up doing:

Verifying the Full Birch and Swinnerton-Dyer Conjecture for Specific Elliptic Curves of Analytic Rank 0 or 1 (Stefan Patrikas and Andrei Jorza), still in progress.
Deciding Whether two Simple Modular Abelian Varieties are Isomorphic (Tseno Tselkov)
Statistics About a Massive Database of Elliptic Curves, (Baur Bektemirov), still in progress.
Tables of Elliptic Curves over Number Fields (Jennifer Sinnott)

I gave a talk on August 19 about the status of the projects.

Director: William Stein
Assistant: Nick Ramsey
Participants: Baur Bektemirov, Andrei Jorza, Stefan Patrikis, Jennifer Sinnott, Tseno Tselkov