I am a graduate student at the University of Illinois Urbana-Champaign, advised by Florin Boca . My research interests lie in Ergodic Theory, Analytic Number Theory, and Probability Theory. In particular, I use techniques from these areas to study properties of dynamical systems arising from various continued fraction expansions. I will be graduating in May 2023 with a Ph.D. in Mathematics and an M.S. in Teaching of Mathematics.