#
Rutgers Math 492

## Junior-Senior Honors Seminar

Spring 2007

The seminar this year will be based on the text

Elementary Number Theory,
Group Theory and Ramanujan Graphs (London Mathematical Society Student
Texts) (Paperback) by Giuliana Davidoff, Peter Sarnak, Alain Valette.

It
covers some number theory, group theory, combinatorics, and relationships
between them; this is meant to be an example of what Atiyah has called "the
unity of modern mathematics". The exact text description is "a
self-contained study of expander graphs, specifically, their explicit
construction. Expander graphs are highly connected but sparse, and while
being of interest within combinatorics and graph theory, they can also be
applied to computer science and engineering. Only a knowledge of elementary
algebra, analysis and combinatorics is required because the authors provide
the necessary background from graph theory, number theory, group theory and
representation theory." The seminar meets weekly, and is presented by the
students under the direction of Professor Woodward.

Comments on this page should be sent to
ugvc-AT-math.rutgers.edu

December, 2006