I am an NSF postdoc in the math department of UCLA. My mentor is Inwon Kim. I received my Ph.D. from the University of Chicago math department under the supervision of Takis Souganidis.
I study nonlinear PDEs and their applications. My work has focused on reaction-diffusion equations and evolutionary ecology, as well as free boundary problems that arise as models of tumor growth. My thesis work concerned rates for stochastic homogenization and rates for convergence of monotone approximation schemes.
Here is my CV.
Here is a video of my talk at the workshop Stochastic and Deterministic Models for Evolutionary Biology.
Publications and preprints
Quantitative Assessment of Robotic Swarm Coverage.
With B. Anderson, E. Loeser, M. Gee, F. Ren, S. Biswas, M. Haberland, A. L. Bertozzi.
September 2017. Submitted.
Uniform convergence for the incompressible limit of a tumor growth model.
With I. Kim.
April 2017. To appear in Ann. Inst. H. Poincaré Anal. Non Linéaire; available online.
On a model of a population with variable motility.
M3AS Vol 25, 2015, Issue 10, pp 1961-2014; available online.
Error estimates for approximations of nonhomogeneous nonlinear uniformly elliptic equations.
Calc. Var. & PDE, 2015, Volume 54, Issue 3, pp 2939–2983; available online.
Error estimates for approximations of nonlinear uniformly parabolic equations.
NoDEA, 2015, Vol 22, Issue 3, pp 345-389; available online.
The Spiral Index of Knots.
With C. Adams, W. George, R. Hudson, R. Morrison, L. Starkston, S. Taylor.
Math. Proc. Cambridge Philos. Soc. 149, 2010, no. 2, 297-315; available online.
Here are my preprints on arxiv.org.
This academic year I am teaching Mathematical Modeling (Math 142) in the Fall and Winter. In the Spring I am teaching "Inquiry in Numbers", a course that I designed with Preston Wake as part of UCLA's Honors Collegium. Here is the proposal describing the course.
I was a mentor in the UCLA math REU during Summer 2017.
In the academic year 2016-2017 I taught Probability Theory (Math 170A) and Mathematical Modeling (Math 142). While at UChicago I was a Lecturer in the math department. I taught five quarters of Calculus, as well as a quarter of Elementary Number Theory. In addition, I have been a teaching assistant for various undergraduate math courses, and have supervised students via the Directed Reading Program and the math REU at UChicago.