Papers:
Legendrian and Transverse Link Invariants
Joint with John Etnyre: Preprint, 2009.
Triple Linking Numbers, Hopf Invariants and Integral Formulas for Three-Component Links
Joint with Dennis DeTurck, Herman Gluck, Rafal Komendarczyk, Paul Melvin, and Clayton Shonkwiler: Submitted, 2009.
On the Transverse Invariant for Bindings of Open Books
Submitted, 2008.
Higher-Dimensional Linking Integrals
Joint with Clayton Shonkwiler: Submitted 2008.
The Four Vertex Theorem and its Converse
Joint with Dennis DeTurck, Herman Gluck, and Danniel Pomerleano: Notices Amer. Math. Soc. 54, 2007, No. 2, 192-207.
Talks:
The Transverse Invariant and Bindings of Open Books (20 min.)- Fall 2008
The Four-Vertex Theorem and its Converse - Fall 2006
Khovanov Homology and the Slice Genus - Fall 2006
Taut to Tight: Foliations to Contact Structures - Summer 2006
A Few Facts About 3-manifolds (a cute little talk I gave on 3-manifolds) - Fall 2005
The Lickorish-Wallace Theorem - Fall 2005