151 Thayer Street
Providence, RI 02912
I obtained my Ph.D. from the University of Michigan in 2014, and I am currently a Tamarkin Assistant Professor at Brown University. My research interest lies in the analysis of PDE, using methods of harmonic analysis, calculus of variations and bifurcation theory. I have been studying rotating star solutions of the Euler-Poisson equations, the Vlasov-Poisson equations, and the inverse scattering theory of the Benjamin-Ono equation.
Projects in Progress
I am working with Juhi Jang and Walter Strauss on equations of magentic rotating stars, and global continuation of steady rotating star solutions. A different project of my own aims at constructing rotating star solutions to the Einstein equations of general relativity. I am also working on the inverse scattering problem for the completely integrable Benjamin-Ono equation. Together with Peter Perry and Joel Klipfel, we are studying the inverse scattering transform for the Intermediately Long Wave equation.
My CV is here.
- Steady States of Rotating Stars and Galaxies (with Walter Strauss, submitted).
- Jost Solutions and the Direct Scattering Problem of the Benjamin-Ono Equation (SIMA to appear).
- Simplicity and Finiteness of Discrete Spectrum of the Benjamin-Ono Scattering Operator (SIMA 2016).
- Existence of rotating planet solutions to the Euler-Poisson equations with an inner hard core (ARMA 2015).
- On rotating star solutions to non-isentropic Euler-Poisson equations (JDE 2015).
In Fall 2017, I am teaching Math 190 (AP Calculus) and Math 540 (Honors Linear Algebra) at Brown University.
In the past, I have taught different courses at Brown University, Indiana University and the University of Michigan. Courses include: precalculus, calculus (I, II, III), intro to ordinary differential equations, intro to partial differential equations, functional analysis, intro to probability and statistics, intro to stochastic processes, etc.
Last modified: August 17 2017.