Basic Data
Department of Mathematics
University of Pennsylvania
David Rittenhouse Laboratory
Philadelphia, PA 19104‒6395
Email: shonkwil@math.upenn.edu
Office: DRL 3C11
Phone: 215.573.6255
CV
I recently received my Ph.D. in mathematics from the University of Pennsylvania. Starting in the fall of 2009 I will be a Visiting Assistant Professor at Haverford College.
My research is primarily focused on the interplay between topology and geometry. Much of my work is devoted to studying invariants arising from a refinement of the Hodge decomposition theorem for Riemannian manifolds with boundary and to recovering the topology of such manifolds from boundary data. I also use configuration spaces to find geometrically meaningful interpretations of link-homotopy invariants of links in the 3-sphere and in Euclidean 3-space.
If you have any questions, please don’t hesitate to email me.