I am a Golomb Visiting Assistant Professor (Postdoc) at the Department of Mathematics, Purdue University. Previously I was a graduate student at University of Washington, working with Professors C. Robin Graham and Gunther Uhlmann.
I am interested in applications of tools from microlocal analysis in the study of inverse problems and geometry. In my thesis I studied the X-ray transform in the setting of asymptotically hyperbolic manifolds, whereas more recently I have been working on inverse problems for hyperbolic equations. I am also interested in interplays between the geodesic X-ray transform in closed manifolds and Teichmüller theory.
Publications:
Asymptotically Hyperbolic Manifolds with Boundary Conjugate Points but no Interior Conjugate Points. With C. Robin Graham. J. Geom. Anal. (2021) 31:6819–6844 arxiv
Stability Estimates for the X-Ray Transform on Simple Asymptotically Hyperbolic Manifolds. To appear, Pure and Applied Analysis. arxiv
The Solid-Fluid Transmission Problem. With Plamen Stefanov. Submitted. arxiv
Local X-ray Transform on Asymptotically Hyperbolic Manifolds via Projective Compactification. With C. Robin Graham. New Zealand Journal of Mathematics, 52 (2021), 733–763. arxiv
Weakly nonlinear geometric optics for the Westervelt equation and recovery of the nonlinearity. With Plamen Stefanov. arxiv
In Spring 2022 I am teaching MA 30300. Class Website.
In my free time I play a lyra with sympathetic strings.
