Ebru

Ebru Toprak

Email: et400@math.rutgers.edu

Office: 207 Hill Center

I graduated from UIUC in August 2018 under the supervison of Prof. M. Burak Erdoğan . I am currently Hill Assitant Professor at Rutgers University. My research area includes Spectral Analysis and Partial Differential Equations (PDEs). Currently, I am being supervised by Avraham Soffer, Shadi Tahvildar-Zadeh and Michael Kiessling.


Publications

  • (with B. Erdoğan and W.Green ) "On the Fourth order Schrodinger equation in three dimensions: dispersive estimates and zero energy resonances ",submitted, 34 pages. [pdf]
  • (with W.Green ) "On the Fourth order Schrodinger equation in four dimensions: dispersive estimates and zero energy resonances, J. Differntial Equations (2019), Volume 267, 1899-1954, [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 ", American Journal of Mathematics,Volume 141, No 5, October 2019, pp.1217-1258 [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 251: Multivaribale Calculus -Spring 2019

  • Math 231: Calculus II-Summer 2017
  • Math 221: Calculus I - Fall 2016
  • Math 231: Calculus II- Spring 2015
  • Math 241: Calculus III- Fall 2014