MATH 7370: Introduction to Modular Forms (Fall 2011)

Instructor: Ravi Ramakrishna

This course will be an introduction to modular forms and modular curves. Topics will include (but not be limited to) classical Eisenstein series, modular forms, modular curves, the Peterson inner product, congruences and the theory of newforms. I will emphasize the deep ties between things modular and questions in classical number theory, such as class groups of number fields and class field theory. Prerequisites for this course are MATH 6310 and some of MATH 6120. Algebraic number theory will be developed as needed.