Research

My research interests are Partial Differential Equations and Numerical Optimization. In particular, I am currently working on applying L1-constrained non-convex optimization to electronic structure calculations.

Additionally, I am interested in both the PDE theory of the Boltzmann and Landau-Fokker-Planck equations and developing numerical methods for solving problems in kinetic theory, with the goal of applying these methods to the simulation of plasmas in a tokamak.

I am currently being advised by Professor Caflisch. Here is my CV.

Papers

Compact Support Of L1 Penalized Variational Problems to appear in Communications in Mathematical Sciences

Shift Invariant Subspaces and Applications to Signal Fragmentation to be sumbitted

Accelerated First-Order Optimization with Orthogonality Constraints submitted to SIAM Journal on Optimization