My research concerns applied and statistical aspects of dynamical systems and ergodic theory. I am interested in using functional analytic and spectral methods to prove stochastic, fractal geometric, and extreme value theoretic properties of dynamical systems. My results can be applied to ocean and atmospheric models, for example, to determine the frequency one might expect to observe a particular extreme temperature or weather event.

I am also interested in producing mathematical outreach activities designed to show high school-age children the beauty and power of mathematics.