In summer 2024, I participated in the REU at UChicago under the mentorship of Peter May, where I read about model categories, enriched categories, and \((\infty,1)\)-categories with a focus on understanding homotopy limits and colimits. I am extending this reading project into a senior thesis on stable infinity categories advised by Emily Riehl and Rok Gregoric.
I am also working on a project with Sean Sanford and David Green to classify braidings over non-split Tambara-Yamagami categories over the reals, which started in summer 2023 at the Research Opportunities in Mathematics for Underrepresented Students (ROMUS) program at The Ohio State University under the supervision of David Penneys. Here are some slides on preliminary results.