Abstract: Moments of L-functions are among the central objects of study in modern analytic number theory. In this talk I will discuss my recent results concerning the sixth moment of a family of GL(2) automorphic L-functions. Before discussing my results, I will introduce moments and families of L-functions in some generality, as well as provide some background on the specific family of L-functions I study in my paper. In particular, I will discuss previous results as well as some of the tools used to study this family. As such, the talk should be interesting and accessible to a wide audience including both experts and graduate students.