The Wave Equation and the Timpani: An Exploration into Various Models for the Vibration of a Timpani Drumhead

The Laplace and Heat Operators on Quantum Graphs

Moonshine and Elliptic Curves

Diameter Bounds on the Spectral Gap of Quantum Graphs

Connections between mock modular forms and vertex operator algebras

Monstrous moonshine, elliptic curves and vertex algebras

Topics in the analytic theory of L-functions and harmonic Maass forms

New Results on Partitions, Prime Numbers, and Moonshine