Office: Herman Brown Hall, Room 452 Email: kk43 "at" rice "dot" edu
I received my Ph.D. from UCLA in 2014, where my advisor was Mario Bonk.
My primary research interests are in conformal and quasiconformal geometry, analysis of metric spaces, and applications of these techniques to the study of hyperbolic groups. Much of my work is directly related to, or motivated by, the quasiconformal geometry found on the boundary of hyperbolic groups. I am particularly interested in uniformization and rigidity problems in this area.
Some examples for students thinking about summer math programs
Compact widths in metric trees (with A. G. Aksoy) Function Spaces IX , 15--25, Banach Center Publ. 92, Polish Acad. Sci. Inst. Math., Warsaw, 2011 A paper coming from a summer research project at Claremont McKenna College in 2008; my first official publication!
Analytic Methods in Additive Number Theory (my undergraduate thesis) An exposition on Fourier analysis, its use in additive number theory, and a walk through Gowers' proof of Szemerédi's theorem for progressions of length four.