I am interested in how algebra and topology intersect, broadly speaking. Up until now, my work has centered on using algebraic and categorified invariants in order to understand knots and 4-manifolds. Listed below are some of my recent projects.
Undergraduate Senior Thesis on Khovanov skein lasagna modules . Advised by Melissa Zhang .
Notes on polynomial invariants of symmetric union knots (also mentored by Melissa Zhang). * WARNING: These are very rough unfinished notes, put here mostly for my own record-keeping purposes. I may revisit (i.e., clean up and update) these notes at some point in the future. *Â