UW 2007 CSUMS NSF Proposal

CSUMS: Undergraduate Computational Research on the Birch and Swinnerton-Dyer Conjecture

Computational Science Training for Undergraduates in the Mathematical Sciences (CSUMS)

William Stein

The proposed project is for a group of 6 undergraduate students each year to do research with a strong computational emphasis in number theory and arithmetic geometry, where each project will be relevant to research on the Birch and Swinnerton-Dyer conjecture (BSD conjecture). Participants will become well versed in the practical use of computation in advanced mathematical research, gain knowledge about mathematical software, make long-term connections with a vibrant research and development community, and contribute tools that will be used by expert researchers and students. Number theory is a venerable research area that draws strongly from many areas of mathematics, and the BSD conjecture is one of the deepest problems in number theory, so student research will make connections with a wide range of mathematics. The program is structured so that students will learn teaching and writing skills, which will prepare them to apply computational mathematics techniques in graduate school and industry.

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