Office: MATH 842
email: neptamin@purdue.edu
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. Accepted, 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
In Spring 2022 I am teaching MA 30300. Class Website.
In my free time I play a lyra with sympathetic strings.
