A common question in graph theory is to ask how many copies of one type of graph can appear within another. For my senior project, I researched disjoint spanning tree packings in almost balanced bipartite graphs.
I am interested in computer graphics as a future research topic. Specifically, I'm interested in both ray tracing and physics simulation. While I have not yet completed formal research on either topic, I have experience working on a ray tracer and a physics engine. See my projects page for more details!
As an undergraduate, I completed summer research studying the algebraic structure of a class of conic sections called Pell conics. We studied the group structure on Pell conics, and learned about how they relate to elliptic curves. Follow this link to see the poster my partner and I presented at the Golden Section Mathematical Association of America Undergraduate Poster Session in 2019.