Math
I am a mathematics PhD student working with Amie Wilkinson at the University of Chicago, and I am broadly interested in dynamical systems and analysis.
My current work is in smooth ergodic theory — in particular the dimension theory of random diffeomorphisms, where I study how the fractal geometry of invariant and stationary measures is governed by Lyapunov exponents and entropy. I am drawn to questions where a dynamical system forces rigidity on the measures it preserves, and to the interplay between hyperbolicity, dimension, and randomness.
Earlier I worked in harmonic analysis, descriptive set theory, and the function-space theory behind PDE — including a scale of anisotropic Sobolev spaces built for traveling-wave problems. That analytic background still shapes how I think about the ergodic-theoretic problems I work on now.
Below are my papers and reports.