Area

I work in inverse problems, tomography, partial differential equations, and numerical analysis. In particular, I am working to establish the theoretical and algorithmic foundations of some novel biomedical imaging modalities.

Dissertation

In May of 2020, I defended my dissertation entitled Analytical and Numerical Study of Inverse Problems Arising in Some Novel Imaging Modalities. A PDF copy of the abstract of my dissertation can be found by clicking the link below

Abstract (PDF)

Software

As part of my research, I wrote the following MATLAB routines which are used to simulate the forward and inverse problems of Magnetoacoustoelectric Tomography (MAET).

maetsim (ZIP archive)

Research Talks/Presentation Slides

1. Microlocally correct photoacoustic reconstructions from spatially reduced data.
   Brown Bag Seminar, Program in Applied Mathematics, University of Arizona. Tucson, AZ.
   02/28/2020.
   
   Slides (PDF)
   
   
2. Comparative study of two magnetoacoustoelectric modalities.
    Poster Session, Conference on Modern Challenges in Imaging, Tufts University, Medford, MA
    08/2019
    
   Poster (PDF)
   Lightning talk slides (PDF)