Welcome to my homepage!
I have a PIMS Post-doctoral Fellowship at the University of Calgary. My position at the University of Calgary is under the sponsorship of Prof. Cristian Rios and is co-funded by PIMS and the Department of Mathematics and Statistics.
My research area is mathematical analysis, more precisely, theoretical aspects of nonlinear partial differential equations (PDEs). My primary focus is on regularity theory of elliptic and parabolic PDEs, in connection with the calculus of variation and potential theory. Most recently, analysis on metric measure spaces forms a central aspect of my work, as it provides an integrating structure for ideas and questions from many different areas of mathematics.
I did my Ph.D. at Aalto University School of Science, Department of Mathematics and Systems Analysis. I was part of the Nonlinear PDE research group under the supervision of Prof. Juha Kinnunen. During my Ph.D. I discovered the analysis on general metric measure spaces.
Analysis on metric spaces is nowadays an active and independent field, bringing together researchers from different parts of the mathematical spectrum. It has applications extending across a range of disciplines, including but not limited to numerical methods, geometric group theory, and theoretical computer science. This can offer us a better understanding of the phenomena and also lead to new results, even in the classical Euclidean case.
I studied Mathematics at Universidad Nacional Autónoma de México (UNAM) and a Master in Science (Mathematics) at the University of Bonn.
Besides research, I enjoy running, taking pictures, painting, and playing the piano. Read more at the following link.