Curso - 22 aulas.

Pré-requesitos: Análise Complexa Modular and congruence groups, modular forms of a given weight, cusp forms, Eisenstein series, theta series, Hecke operators, Fourier expansions, Growth of the coefficients, L-functions of modular forms and their functional equations, Oldforms and Newforms, modular elliptic curves, Galois representations and modular forms, application to congruent numbers. Referências: Koblitz, Neal. - Introduction to elliptic curves and modular forms, Graduate Texts in Mathematics, 97. Springer-Verlag, New York, 1993. Diamond, Fred; Shurman, Jerry. - A first course in modular forms. Graduate Texts in Mathematics, 228. Springer-Verlag, New York, 2005. ZAGIER, D. - Elliptic modular forms and their applications, Universitext, Springer, 2008.