I am a PhD candidate in the Department of Applied Mathematics at the University of Washington.
My research interests in general lie in the area of nonlinear waves. I am interested in using Riemann Surface theory and computation to solve integrable differential equations as well as proving stability results for solutions of integrable differential equations.
My advisor is Bernard Deconinck and here is my CV.
In Autumn 2019 I am an instructor for AMATH 301. The website for the course is here.
- Real Lax spectrum implies spectral stability, Submitted. With B. Deconinck. Submitted. (2019). arXiv
- The orbital stability of elliptic solutions of the Focusing Nonlinear Schrödinger Equation, Accepted for publication in the SIAM Journal on Mathematical Analysis. With B. Deconinck. (2019). arXiv
- On the nonintegrability of equations for long- and short-wave interactions, Physics Letters A, Volume 38, Issue 29: 1916-1921. With B. Deconinck. (2018). arXiv