I am a Professor of Mathematics at UCLA, in the topology group and the geometry group.
My research interests include gauge theory, low-dimensional topology, and symplectic geometry. I have worked on topics such as the Seiberg-Witten equations, Heegaard Floer theory, and symplectic Khovanov homology. I also have a side interest in the applications of topology to distributed computing.
I received my Ph.D. from Harvard in 2004, supervised by Peter Kronheimer. After that I was a Clay Research Fellow, a postdoctoral fellow at Princeton, and an Assistant Professor at Columbia, before moving to UCLA in 2008.
Here is a more detailed CV.