About Me

I’m a Ph.D. candidate in Mathematics here at UC Davis. I am currently working under the supervision of John K. Hunter. My research interests are in weakly nonlinear asymptotic analysis, fluid dynamics, nonlinear hyperbolic equations, variational systems of wave equations, numerical solutions to partial differential equations, and many more...

I received my B.S. in Mathematics in June 2006 and my M.A. in Mathematics in December 2008, both here at University of California in Davis. I served as the Vice President and the Treasurer for the Mathematics Department graduate student association, the Galois Group. This year, I am the organizer for the Mathematics Department's Math and Applied Math Student-Run Seminar. When I'm not in school, I love to travel!

Research

My current research is to study surface wave solutions to a variational system of nonlinear hyperbolic PDEs that describes the propagation of orientation waves in a director field with rotational inertia and potential energy given by the Oseen-Frank energy from the continuum theory of nematic liquid crystals. The approach is to use weakly nonlinear asymptotics to analyze surface waves solutions that consists of a small, localized perturbation of a smooth solution.