Nikolas Eptaminitakis

Welcome to my webpage!

I have now moved to Leibniz University Hannover, please see here.

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.

Research

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.

My CV

My Thesis

Publications:

  1. Asymptotically Hyperbolic Manifolds with Boundary Conjugate Points but no Interior Conjugate Points. With C. Robin Graham. J. Geom. Anal. (2021) 31:6819–6844 arxiv

  2. Stability Estimates for the X-Ray Transform on Simple Asymptotically Hyperbolic Manifolds. To appear, Pure and Applied Analysis. arxiv

  3. The Solid-Fluid Transmission Problem. With Plamen Stefanov. Submitted. arxiv

  4. 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

  5. Weakly nonlinear geometric optics for the Westervelt equation and recovery of the nonlinearity. With Plamen Stefanov. arxiv

Teaching

In Spring 2022 I am teaching MA 30300. Class Website.

Past Teaching

Personal

In my free time I play a lyra with sympathetic strings.