Ebru

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, 5802-5837 [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), 329-386 [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), 1235-1284. [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

  • Department of Mathematics
    273 Altgeld Hall, MC-382
    1409 W. Green Street, Urbana, IL 61801 USA
    Telephone: (217) 333-3350    Fax: (217) 333-9576     Email: math@illinois.edu