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 * [[/schedule|Schedule]]

2011 Mathematics REU at UW

June 20 - August 12, 2011

Elliptic Curves

The elliptic curves REU will consist of projects involving elliptic curves, modular forms, and databases, and make extensive use of Sage. It will be organized by William Stein, and the number theory postdoc Jon Bober and grad students Alyson Deines and Simon Spicer will also likely help out. There will be about 6 students.

REU Background Reading List

Don't worry if you can't read or understand everything here. Just read what you can, and generally skim around. There will be lots of talks during the REU to get you up to speed.

Topics may include

  • Main topic: Creating tables of elliptic curves over the field \mathbf{Q}({\rm sqrt}{5}), e.g., as described in this talk, along with extensive data related to the Birch and Swinnerton-Dyer conjecture about each curve, and investigating related conjectures. This will involve both theoretical work and coding projects.

  • Computing additional data about elliptic curves over \mathbf{Q}, thus extending the data in http://db.modform.org/

  • Computing tables of modular forms (see my book).

reu/2011 (last edited 2011-07-07 21:34:26 by was)