I am an assistant professor of mathematics in the topology group at Columbia. Next year, I expect to be:

• An (untenured) associate professor of mathematics at Columbia, on leave.
• At the Simons Center for Geometry and Physics at Stony Brook in the Fall.
• An assistant professor of mathematics at the Univeristy of North Carolina in the Spring.

Available from this website:

• Research
• Slides from talks
• Teaching
  • Fall 2011: Math G4307: Algebraic Topology.
  • Spring 2011: Math W4052: Knot Theory.
  • Fall 2009:
    • Math V1201: Calculus III.
    • Math W4051: Topology.
  • Fall 2008:
    • Math V2020: Honors Linear Algebra.
    • Math W4051: Topology.
  • Fall 2006: Math V2010: Linear Algebra (homepage is on Courseworks).
• Teaching-related activities
  • Student papers.
  • Barnard's Sonya Kovalevsky Day, 2012.
  • Columbia's Geometry / Topology REU.
• Ph.D. students I am currently working with:
  • Corrin Clarkson (with D. Thurston)
  • Jonathan Hales (with O. Plamanevskaya)
  • Jonathan Hanselman (with D. Thurston)
  • Kristen Hendricks (with P. Ozsváth)
  • Ina Petkova (with P. Ozsváth and D. Thurston)
• Seminar web pages:
  • Columbia's Symplectic Geometry and Gauge Theory Seminar's web page.
  • Columbia's Informal Heegaard Floer Seminar's web page (formerly the "Informal Symplectic Geometry Seminar").
• Advice
  • Reading and writing mathematics on the Macintosh.
  • Graduate fellowships in mathematics.
  • Rudel -- real time remote collaboration in Emacs. (Why isn't this more well known?)
• My previous webpage (no longer maintained).

External links:

• Advice for amateur mathematicians on writing mathematics. (From Henry Cohn of Microsoft Research.)