Department of Mathematics
University of Chicago
5734 S. University Avenue
Chicago, IL 60637
Office: Ryerson 351
Office Hours (Spring 2017): MW 5-6 pm, and by appointment
I am an L.E. Dickson Instructor at the University of Chicago. I received my PhD in September 2014 from the Courant Institute of Mathematical Sciences under the supervision of Fanghua Lin. My detailed CV can be found here (last updated 4/2017).
In Spring 2017 I am teaching Abstract Linear Algebra: Section 34 and Section 54. Information from past courses can be found here.
My research interests lie within analysis and PDE. Specific topics include:
- Regularity theory of nonlocal (including kinetic) equations
- Variational free boundary problems
- Nonlinear wave equations in mathematical physics
Preprints and publications:
- Global a priori estimates for the inhomogeneous Landau equation with moderately soft potentials (with S. Cameron and L. Silvestre) submitted for publication.
- Asymptotic stability for odd perturbations of the the stationary kink in the variable-speed φ4 model submitted for publication.
- Linear stability of the Skyrmion (with M. Creek, R. Donninger, and W. Schlag) International Mathematics Research Notices 2017(8) 2497—2537, 2017.
- An integro-differential equation without continuous solutions (with L. Silvestre) Mathematical Research Letters 24(4) 1157—1166, 2016.
- Regularity and long-time behavior of nonlocal heat flows Calculus of Variations and Partial Differential Equations 54(2) 1705—1723, 2015.
- Matrix probing: a randomized preconditioner for the wave-equation Hessian (with L. Demanet, P.D. Létourneau, N. Boumal, H. Calandra, and J. Chiu)
Applied and Computational Harmonic Analysis 32(2) 155—168, 2012.