My dissertation, Spectral Properties and Localization of Two Random Laplacians on Graphs, explored the spectral properties, specifically the existence of spectral and dynamical localization, of two random models of disordered quantum systems, namely the Random Edge Laplacian and the Random Mass Laplacian. My research page contains a brief introduction to the Random Edge Laplacian.
In addition to mathematical research, I also enjoy teaching mathematics. My approach to teaching incorporates humor and common, descriptive language into a rigorous treatment of mathematics. Courses are predominantly taught using active learning with a particular interest in Inquiry-Based Learning (IBL). I particularly enjoy engaging students who have previously decided that they "don't get" math.