I work in the fields of topology and geometry.  More specifically, my research interests include low-dimensional topology, Floer theory, gauge theory, symplectic/contact topology, orderable groups, and categorification.  A list of my recent publications and preprints.  Feel free to contact me if you have any questions (unless you think you have a proof of the Riemann Hypothesis).


In March 2014, Jennifer Hom and I co-organized an AMS Special Session on Invariants in Low-Dimensional Topology at the University of Maryland, Baltimore County.  Notes from the problem session can be found here.