I received my Ph.D. from Columbia University in 2005, under the supervision of Peter Ozsváth. My thesis dealt with a set of knot invariants - the knot Floer homology invariants - which were introduced by Peter Ozsváth and his collaborator Zoltan Szabó, and independently by Jake Rasmussen. In particular I studied how these invariants behave under a certain type of operation one can perform on knots called cabling. After graduating, I spent a year at Princeton as an NSF post-doc and have been at MIT as a Moore instructor since the beginning of last year. My main research interests are in low dimensional topology and geometry, symplectic geometry and gauge theory. More specifically, these interests include: Ozsváth and Szabó’s Heegaard Floer homology, contact geometry, Khovanov homology and combinatorial knot invariants, Dehn surgery, Heegaard splittings and tunnel number of knots, symplectic and contact homologies, and the interaction between knot theory and the geometry of complex curves in Stein surfaces.

I received my Ph.D. from Columbia University in 2005, under the supervision of Peter Ozsváth. My thesis dealt with a set of knot invariants - the knot Floer homology invariants - which were introduced by Peter Ozsváth and his collaborator Zoltan Szabó, and independently by Jake Rasmussen. In particular I studied how these invariants behave under a certain type of operation one can perform on knots called cabling. After graduating, I spent a year at Princeton as an NSF post-doc and have been at MIT as a Moore instructor since the beginning of last year.

My main research interests are in low dimensional topology and geometry, symplectic geometry and gauge theory. More specifically, these interests include: Ozsváth and Szabó’s Heegaard Floer homology, contact geometry, Khovanov homology and combinatorial knot invariants, Dehn surgery, Heegaard splittings and tunnel number of knots, symplectic and contact homologies, and the interaction between knot theory and the geometry of complex curves in Stein surfaces.