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.
Teaching
- UW AMATH 301 -- Beginning Scientific Computing: Autumn 2019 (syllabus).
- UW AMATH 353 -- Partial Differential Equations and Waves: Summer 2017, Spring 2018 (syllabus), Spring 2019 (syllabus).
- UW AMATH 383 -- Introduction to Continuous Mathematical Modeling: Autumn 2018 (syllabus).
Publications
- 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