Seonguk Kim

Ph.D. Candidate/Graduate Teaching Assistant
Minor in Physics
Department of Mathematics
University of Alabama at Birmingham

Office: CH 476A
ksw8755@uab.edu

My research interests are mathematical physics and partial differential equation, particularly nonlinear Shrodinger equation. My main interest is to find the formulas for stationary solutions for Gross-Pitaevskii equaion. Baiscally, the main tools that I should know are Spectral theory of self-adjoint operator in Hilbert space, Fourier transform, Bloch theory and the perturbation theory. Next, I have mastered the perturbation results for the linear Schrodinger equation with periodic potential and used the method of successive approximations to develop new results for the Gross Pitaevskii equation.