Publications

• "Slicing planar grid diagrams: a gentle introduction to bordered Heegaard Floer homology" with Peter Ozsváth and Dylan Thurston. Proceedings of 15th Gökova Geometry-Topology Conference, 91-119.
  • On the arXiv: math/0810.0695
• "Heegaard Floer homology, double points and nice diagrams." Proceedings of the Conference
  "New Perspectives and Challenges in Symplectic Field Theory, Stanford, June 2007," accepted.
  • This paper in PDF format.
• "Combinatorial cobordism maps in hat Heegaard Floer theory" with Ciprian Manolescu and Jiajun Wang. Duke Math. J., to appear.
  • On the arXiv: math.GT/0611927.
• "Covering spaces and Q-gradings on Heegaard Floer homology" with Dan Lee. J. Symplectic Geom., to appear.
  • On the arXiv: math.GT/0608001. An updated version is available here.
• "A Heegaard-Floer invariant of bordered 3-manifolds." Ph.D. thesis, Stanford University, 2006.
  • This paper in PDF format.
  • This paper in Postscript format.
  • Also available from ProQuest dissertation database (requires subscription)
• "A cylindrical reformulation of Heegaard Floer homology". Geom. Topol. 10 (2006), 955-1097.
  • Review on MathSciNet (requires subscription).

Preprints (not yet accepted for publication)

• "Bordered Heegaard Floer homology: Invariance and pairing" with Peter Ozsváth and Dylan Thurston.
  • On the arXiv: math/0810.0687.
  • This paper in PDF format.
  • Last updated: November 16, 2009.

Papers written by (undergraduate) students I have advised are here.