In this talk, I will be giving a brief overview of two current research projects that are near completion. The first of which is on a surface related to zeros of the Riemann zeta function. The second project is on the spt function of Andrews. I will end the talk with detailing a future project on the partition function. In this talk, we will cover many interesting topics in number theory such as zeros of L-functions, modular forms and galois representations.

Talk by Cruz Castillo.