I am an Assistant Professor in the Department of Mathematical Sciences at the University of Cincinnati. Previously, I was a postdoc at the University of Michigan, where my research mentor was Peter D. Miller. My PhD thesis advisor was Irina Nenciu. My research has so far focused on problems arising in nonlinear wave formation and propagation.
PhD in Mathematics, 2015
University of Illinois at Chicago
BSci & MSci in Mathematics, 2009
Bogazici University
Work in Progress
Asymptotic properties of large-order coherent structures in nonlinear integrable wave models and dynamical stability properties of rogue waves.
Development of a robust inverse scattering transform to treat arbitrary spectral singularities, in particular including rogue wave solutions of nonlinear integrable dispersive PDEs.
Making solutions of integrable nonlinear dispersive wave equations computationally available to the nonlinear waves community using their Riemann-Hilbert problem representations via developing numerical inverse scattering transform tools. Riemann-Hilbert problems play the role of Fourier-type integral representations we have for solutions of linear problems.
Long-time asymptotics for perturbations of integrable wave models that admit solitary wave solutions.