He received his Bachelor and Master's degrees in electronic engineering from the Universidad Nacional Autónoma de México. He is Sc.D. in Mathematics from Universidad Autónoma de Madrid under the supervision of Eugenio Hernández with a grant FPI (Formación de Personal de Investigación) given by Ministerio de Educación, Cultura y Deporte of Spain. During the doctorate, he spent a research stay in Washington University in St. Louis in the group headed by Guido Weiss. He did a post-doctorate in the University of Houston with a grant given by the National Science Foundation with Demetrio Labate. His research interests are harmonic analysis and approximation theory and their applications, specially in digital signal processing, computer tomography, operator theory and Calderón-Zygmund theory. He has given talks in Casa Matemática Oaxaca- Banff International Research Station in 2015, 10th International Conference on Harmonic Analysis and Partial Differential Equations “El Escorial” (Madrid) in 2016 and the 50° Congreso Nacional de la Sociedad Matemática Mexicana (by invitation) in 2017. He is fellow of SNI (Sistema Nacional de Investigadores) level 1, periods 2015-2017 y 2018-2021.
Topics of Interest
- Operator Theory
- Calderón-Zygmund Theory
- Harmonic analysis
- Multiscale and multi directional analysis (wavelets/shearlets
- Approximation theory and its applications, especially in digital signal processing
- Computer tomography and related inverse problems