I am currently Evarist Giné Assistant Research Professor at the University of Connecticut. Before arriving at UConn I was a postdoctoral researcher at the Instituto de Ciencias Matematicas, Madrid, Spain where I worked with José María Martell. I did my PhD at the University of Kentucky with John Lewis in 2014. I also received postdoctoral researcher fellowship from Institut Mittag-Leffler, Stockholm, Sweden to attend the Evolutionary Problems semester in the fall of 2013. During the spring semester of 2017, I was a postdoctoral fellow at the Mathematical Sciences Research Institute, Berkeley, CA to participate in the Harmonic Analysis program where my mentor was Tatiana Toro.
My research interests are Analysis of PDEs, Potential Theory, Geometric Measure Theory.This year, I am co-organizer for the Analysis Learning Seminar at UConn. I am also co-organizing the AMS Special section on Regularity of PDEs on Rough Domains at Northeastern University, Boston, MA April 21-22, 2018.
My researchs lie in the interface of analysis of linear and nonlinear elliptic PDEs, Potential Theory, and Geometric Measure Theory. Problems I have been studied can be classified as
I defended my thesis in May 2014. Title:On the Hausdorff dimension of a certain measure arising from a positive weak solution to a divergence type PDE.