I was wondering what would be a suitable project/ reading to do as a second outing in Modular Forms. I have read Serre's book "A course in arithmetic" in a Topics course last semester, right upto (and including) Hecke operators.
Suggestions I have received till now are mostly geared towards reading Diamond-Shruman "A first course in modular forms". But as I understand, this is a serious graduate level textbook and would be too dense for my final semester Undergraduate project.
Left to myself, I would happily explore more of congruence subgroups and higher level modular forms from Koblitz' book "Introduction to elliptic curves and modular forms" and supplement it with problems from Murty's "Problems in the theory of Modular forms". Does this sound like a good plan to you ? Please help with more suggestions, especially in a project flavor (even a small side project would do).
Thanks in advance
EDIT: Knowing my background in number theory and related areas might help:
Algebra- Abstract algebra, Field and Galois theory, Representations of finite groups, Commutative algebra
Algebraic number theory- Number fields, number rings, Ideal Class group, Dirichlet's Unit theorem, Quadratic reciprocity, p-adic fields and rings, Hensels lemma, quadratic forms
Analytic number theory- Reimann-Zeta function, L-functions, Dirichlet's theorem on AP's, Modular forms
Analysis- Complex Analysis, Fourier analysis on the circle and finite Fourier, Measure theory