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.

**February 23, Yiannis Petridis**Closed Geodesics for SL(2, Z)

**March 2, Yiannis Petridis**Averages of class numbers according to Siegel

**March 9, Yiannis Petridis**Averages of class numbers according to Siegel (Part 2)

**March 23, Nicole Raulf (Princeton U.)**Hecke operators and their relation to class numbers

**April 6, Carlos Moreno**Siegel's Epstein zeta functions and related Dirichlet series

**April 27, Carlos Moreno**Reduction theory for definite quadratic forms

**May 4, Carlos Moreno**Reduction theory for definite quadratic forms

**May 11, Carlos Moreno**Reduction theory for definite quadratic forms

**May 18, Yiannis Petridis**Introduction to Random Matrix Theory

**May 25, Yiannis Petridis**Random Matrix Theory and Orthogonal polynomials

**June 22, Yiannis Petridis**The pair correlation of Riemann zeros according to Montgomery

**June 29, Yiannis Petridis**The pair correlation of Riemann zeros according to Montgomery