The Arithmetic of Noncongruence Subgroups of SL(2,Z)

The Arithmetic of Noncongruence Subgroups of SL(2,Z)

-
William Chen , IAS
Fine Hall 214

After beginning by giving a brief overview of how one can think of noncongruence modular curves as moduli spaces of elliptic curves with G-structures, we will discuss how these moduli interpretations fits into the greater body of knowledge concerning noncongruence subgroups, in particular focusing on the Unbounded Denominators Conjecture for their modular forms.