My research interests are in microlocal analysis and partial differential equations. I am currently working on projects in spectral theory, geometric measure theory, and geometric scattering theory.
Here is my curriculum vitae.
Microlocal analysis of scattering data for nested conormal potentials, Ph.D. thesis, Journal of Functional Analysis, 2011, DOI:10.1016/j.jfa.2011.12.013.
Fourier integral operators, fractal sets, and the regular value theorem (with Alex Iosevich and Krystal Taylor), Advances in Mathematics, Volume 228, Issue 4, 10 November 2011, Pages 2385-2402.
Average pointwise bounds for deformations of Schrodinger eigenfunctions (with John Toth), revise and submit, Annales Henri Poincare (2012).