To be held on October 20-21, 2018 in Ann Arbor, MI. Organizers: Deniz Bilman, Peter D. Miller, Amber Music, Guilherme Silva.
I am a postdoctoral assistant professor of mathematics at the University of Michigan since September 2015. My research mentor is Peter D. Miller. My PhD thesis advisor was Irina Nenciu.
You can download my CV here.
PhD in Mathematics, 2015
University of Illinois at Chicago
BSci & MSci in Mathematics, 2009
Bogazici University
You can also access a list of my publications here. Please scroll below for details of each publication and click on the publication to read the abstract.
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.
Analysis and prediction of rogue waves in context of a Cauchy initial value problem, asymptotic properties of large-order coherent structures such as ‘high-order-pole’ solitons appearing in nonlinear dispersive integrable PDEs.
Recent & Upcoming 10 talks
To be held on October 20-21, 2018 in Ann Arbor, MI. Organizers: Deniz Bilman, Peter D. Miller, Amber Music, Guilherme Silva.
Courses & Lecture Notes
I am teaching Math 454: Boundary Value Problems for Partial Differential Equations in Spring 2019. This is a course devoted to the use of Fourier series and other orthogonal expansions in the solution of initial-value and boundary-value problems for second-order linear partial differential equations.
Below is a list of topics/courses for which I have developed online lecture notes using Jupyter notebooks while I was teaching the courses.
Interactive online (Jupyter) lecture notes from Math 216: Introduction to Differential Equations taught at the University of Michigan in Spring 2016, Fall 2017, and Spring 2018. You may also find some separate handwritten material from the series of examples titled Here’s How I’d Do It.
Interactive online (Jupyter) lecture notes for Math 471: Introduction to Numerical Analysis taught at the University of Michigan in Winter 2019.