I work with Dr. Vaughn Climenhaga studying dynamical systems. In connection with dispersing billiards, I have been looking at uniformly expanding Markov interval maps with a singularity.
[2602.18366] Entropy Density of Ergodic Nonadapted Measures for Markov Interval Maps
Undergraduate Research: Rectifying Curves in Minkowski Space R^1,3 (Pi Mu Epsilon Journal Spring 2020)