Summer reading course on modular forms

Summer reading from Stein's Modular Forms, a Computational Approach.

Documents (pdf)

• Notes: These will be continually updated to address your questions.
• Perfect pairing exercises
• Modular symbols and homology exercises
• HW 1 (Solutions)
• HW 2 (Solutions)
• HW 3
• HW 4
• HW 5
• HW 6
• brief notes on modular forms by Paul Gunnells
• lecture notes on cohomology of arithmetic groups by Paul Gunnells
• notes on differential forms by Kurt Bryan
• notes on differential forms and integration by Terence Tao
• Galois representations and modular forms by Kenneth Ribet
• notes on reciprocity by DY

Useful links

• Modular Forms, a Computational Approach, by William Stein
• Algorithms for Modular Elliptic Curves, by John Cremona
• LMFDB: the database of L-functions, modular forms, and related objects.