Lectures: Tuesday 12h-14h, Friday 10h-12h; Exercise sessions: Friday 16h-18h.

        The aim of the course is to introduce the basic theory of modular forms and related topics. We will talk about the definition of modular forms, their q-expansions, Hecke operators, L-functions, and modular curves. If time permits, we shall talk about Maass forms and automorphic forms for GL_2. Basic knowledge of complex analysis is requested.


        [1] F. Diamond and J. Shurman, A first course in modular forms, GTM 228, Springer, 2005.

        [2] D. Bump, Automorphic forms and representations, CSAM 55, Cambridge University Press, 1997.

        [3] N. Koblitz, Introduction to elliptic curves and modular forms, GTM 97, Springer, 1984.

        [4] D. Goldfeld and J. Hundley, Automorphic Representations and L-functions for the General Linear Group, CSAM 129, Cambridge University Press, 2011.