Kiril Datchev

I am a fourth year PhD student of Maciej Zworski. I study dispersive estimates for the Schrödinger equation with applications to nonlinear PDE, as well as scattering theory and quantum resonances. This page has contact information.

Papers
Fast soliton scattering by attractive delta impurities, (with Justin Holmer).
Local smoothing for scattering manifolds with hyperbolic trapped sets, to appear in Communications in Mathematical Physics.

Talk
Fast soliton splitting by an attractive delta potential, given October 2007 at the Western Sectional AMS Meeting in Albuquerque, New Mexico.

Miscellaneous
A perturbative approximation for the nonlinear Schrödinger equation.
Introduction to the method of complex scaling.
Solutions to Stein's Fourier analysis problems. (tex file)

This was my qual syllabus. I found this list of Princeton generals exams helpful and inspiring while studying. If you are taking a similar exam, email me and I can send you more materials.