School on
Number Theory and Random Matrix Theory

In recent years there has been an exciting cross-fertilization between the areas of Analytic Number Theory and Random Matrix Theory. Methods from each field have led to important insights and, sometimes, surprising advances in the other. The purpose of this school, sponsored by the University of Rochester, the American Institute of Mathematics, and the National Science Foundataion, is to provide students with the necessary background in number theory and random matrix theory to understand the basics in these two areas and their overlap, and to begin research.

A partial list of topics to be covered is:

• The Riemann zeta-function, Dirichlet L-functions, and their moments
• Modular forms and their L-functions
• Elliptic curve basics
• Function field basics
• Random matrix ensembles
• Characteristic polynomials
• Random matrix statistics
• Numerical computations

More details on the conference homepage.

For more information email ntrmt@aimath.org