The aim of this seminar is to cover material not normally covered in graduate courses and related to Analytic Number Theory and Automorphic Forms. It should be accessible to graduate students that have successfully completed the basic graduate courses in Real Analysis, Complex Analysis and Algebra.
Closed Geodesics for SL(2, Z)
Averages of class numbers according to Siegel
Averages of class numbers according to Siegel (Part 2)
Hecke operators and their relation to class numbers
Siegel's Epstein zeta functions and related Dirichlet series
Reduction theory for definite quadratic forms
Reduction theory for definite quadratic forms
Reduction theory for definite quadratic forms
Introduction to Random Matrix Theory
Random Matrix Theory and Orthogonal polynomials
The pair correlation of Riemann zeros according to Montgomery
The pair correlation of Riemann zeros according to Montgomery