I received my Ph.D. from Columbia University in 2005, under the supervision of Peter Ozsváth.   After graduating, I spent a year at Princeton as an NSF post-doc and  was at MIT as a Moore instructor from 2006-2008. After splitting time between MIT and Indiana University in 2008-2009, I joined the faculty at Michigan State University in the fall of 2009 as an assistant professor.  I have been employed at MSU since.  During the spring of 2009 I was at MSRI participating in the semester program “Homology Theories of knots and links”, and during the spring of 2013 I spent time at the Simons Center for Geometry and Physics, participating in a similar program. I will be visiting Berkeley in the spring of 2014.


    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, Casson-Gordon knot invariants and knot concordance, 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.

 
Curriculum VitaeCV_files/mycv.pdf
Research StatementCV_files/research.pdf