**Special Seminar**

Come join us **Fri****day February 9, 2018 at 12 pm in RM 507, Professor Will Sawin (ETH Zürich) will be giving a special lecture about “Estimates for Modular Forms Using Exponential Sums”.**

**Abstract**

Together with Emmanuel Kowalski and Philippe Michel, I proved two estimates on sums of Fourier coefficients of modular forms — one on the second moment of critical value of the L-function twisted by Dirichlet characters, and the other on the level of distribution. We did this using bounds for exponential sums proved by geometric and topological methods. I will explain these techniques and how they can be used for these two problems.

**Mathematics Hall, Room 507**

**Friday February 9, 2018** at 12 pm