Ebru Toprak
Email: toprak2@illinois.edu, eebrutoprak@gmail.com
I graduated from UIUC in August 2018. I am currently a Postdoctoral Researcher at MSRI. My research area includes Harmonic Analysis and Partial Differential Equations (PDEs). My current work focuses on dispersive PDEs.
Advisor: Prof. M. Burak Erdoğan
Publications
(with W.Green ) "On the Fourth order Schrodinger equation in four dimensions: dispersive estimates and zero energy resonances", 61 pages, [pdf]
(with B. Erdoğan and W.Green ) "Dispersive estimates for massive Dirac operators in dimension two ",J. Differntial Equations (2018), Volume 264, 58025837
[pdf]
(with B. Erdoğan and W.Green ) "Dispersive estimates for Dirac operators in dimension three with obstructions at threshold energies ", to appear American Journal of Mathematics,
[pdf]
(with W.Green ) "Decay estimates for four dimensional Schrodinger, Klein Gordon and wave equations with obstructions at zero energy",Differential and Integral Equations, Volume 30, Number 5/6 (2017), 329386
[pdf]
A weighted estimate for two dimensional Schrodinger, Matrix Schrodinger and wave equations with resonance of the first kind at zero.",
J. Spectr. Theory 7 (2017), 12351284.
[pdf]
Teaching
Math 231: Calculus 2
Summer 2017
Math 221: Calculus I  Fall 2016
Math 231: Calculus II Spring 2015
Math 241: Calculus III Fall 2014
