Department of Statistics
PhD in Mathematics from University of Washington where I worked under the supervision of Gunther Uhlmann. The topic of my thesis was the analysis of the inverse Thermoacoustic Tomography (TAT) problem on acoustically attenuating media, which is motivated by the developing medical imaging technique of TAT. During those years as grad student I also worked in the microlocal characterization of artifacts for other two imaging methods, namely, Magnetic Susceptibility Mapping and Computerized Tomography.
My research primarily focuses on the theoretical analysis of inverse problems with real applications coming from medical imaging, geophysics and the industry. In particular, I am interested in the study of inverse problem by employing tools from PDE's, differential geometry, and functional and microlocal analysis. As a secondary goal, I am interested in the implementation of numerical algorithms to complement and help to visualize the theoretical findings.