Academic life

I obtained my Ph.D. in Applied Mathematics & Statistics, and Scientific Computation (AMSC) at the University of Maryland, College Park. My area of concentration was Scientific Computation, and my work focused on harmonic analysis and its applications. [Disseration PDF]

I earned a Licenciatura (BSc) in Mathematics from Universidad Nacional Autónoma de México (UNAM), and a Master of Arts in Applied Mathematics (MA) from the University of Maryland, College Park.

The Norbert Wiener Center for Harmonic Analysis and Applications

I had the privilege and fortune of having John J. Benedetto as my Ph.D. advisor. He is the director of The Norbert Wiener Center for Harmonic Analysis and Applications (NWC). He also directed my M.A. degree work on "Signal processing for health monitoring of jet engines."

I was a post doctoral fellow of the NWC from July 1st, 2012 to June 30, 2013. I continue to collaborate on research projects with faculty of the NWC.

Current research

I work on studying, primarily, sparse representations of signals. In specific, I focus on the study, implementation, validation and testing of the Orthogonal Matching Pursuit algorithm (OMP). A simple description of this algorithm can be found in [1].

I have used an implementation of this algorithm to study image compression.

Another area of study that I am currently interested in is the discovery and study of properties of Constant Amplitude and Zero-Autocorrelation sequences (CAZACs) for use in telecommunications.

[1] A. M. Bruckstein, D. L. Donoho, and M. Elad, From sparse solutions of systems of equations to sparse modeling of signals and images, SIAM Review, 51 (2009), pp. 34-81.

Awards

I obtained First Prize in the poster session "Pushing the Boundaries of Science" at the Graduate Research Interaction Day (GRID) 2012 presenting a poster of my work on "Image representation and compression via sparse solutions of systems of linear equations." [Poster PDF]