My research interests lie in the area of low-dimensional topology. I work on Heegaard Floer homology, Khovanov homology and categorification, and their applications to the topology of knots, 3-manifolds, and 4-manifolds.

The image above is neither a flying saucer nor an airplane. Instead, it's a picture of the HOMFLY-PT homology of the torus knot T(3,4), from my paper with Dunfield and Gukov.


I am currently managing editor for Quantum Topology and an editor of Journal of Topology.