My research interests are in partial differential equations, harmonic analysis, and geometric measure theory. Much of my work is related to the (quantitative) unique continuation properties of solutions to elliptic and parabolic equations, but I am interested in the broader applications of Carleman estimates as well. I also work on the solvability of elliptic boundary value problems, the connections between elliptic and parabolic theory. More recently, I have been studying fractal sets and generalizations of the Besicovitch projection theorem.
City College of New York, Assistant Professor, 2015-
University of Minnesota, Dunham Jackson Assistant Professor, 2013-2015
University of Chicago, Ph.D., 2013
University of Waterloo, B.Math, 2008