Summer 2024: I worked with Greg Kuperberg and Benjamin Daniels on algebraic combinatorics. We studied the cokernels of Carlitz matrices with integer polynomial coefficients. Paper currently in progress.
Fall 2024 - Present: I am writing a senior thesis with Roger Casals. We are studying cusps and self intersections in Cerf diagrams that arise from a 1-parameter family of Morse functions. In particular, combinatorial properties and "bifurcations" of the Cerf diagram sometimes tell you an underlying topological story. We are ultimately interested in the potential connections that these bifurcations have with certain braid varieties.