I am currently Evarist Giné Assistant Research Professor[Non-tenure track] at the University of Connecticut working with Matthew Badger. 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, PDEs, Potential Theory, and Geometric Measure Theory.My researchs lie in the interface of analysis, linear and nonlinear elliptic PDEs, Potential Theory, and Geometric Measure Theory. My interests are
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.
I will co-organize (with Zihui Zhao) an AMS Special section on Regularity theory of PDEs and Calculus of Variations on Domains with Rough Boundaries at University of Connecticut , Hartford, CT April 13-14, 2019. The speaker list and Slides.
I advised David McDonald on his undergraduate honors thesis.
Title of his thesis: Harmonic Functions and Harmonic Measure.
This year, I am co-organizer (with Vyron Vellis) for the Analysis Learning Seminar at UConn.
I also co-organized (with Max Engelstein) the AMS Special section on Regularity of PDEs on Rough Domains at Northeastern University, Boston, MA April 21-22, 2018. The speaker list and Slides.