Preprints and Publications
    
    
-  Stein fillings and SU(2) representations (with Sivek)
 Submitted
 
 
-  On the equivalence of contact invariants in sutured Floer homology theories (with Sivek)
 Submitted
 
 
- On the functoriality of Khovanov-Floer theories (with Hedden, Lobb)
 Submitted
 
 
- Khovanov and knot Floer homology for pointed links (with Levine, Sarkar)
 Journal of Knot Theory and its Ramifications (Tim Cochran Memorial Volume), to appear
 
 
- Invariants of Legendrian and transverse knots in monopole knot homology (with Sivek)
 Journal of Symplectic Geometry, to appear
 
 
- A contact invariant in sutured monopole homology (with Sivek)
 Forum of Mathematics, Sigma 4: 82 pages (2016)
 
 
- Instanton Floer homology and contact structures (with Sivek)
 Selecta Mathematica 22 (1): 939-978 (2016)
 
 
- Naturality in sutured monopole and instanton homology (with Sivek)
 Journal of Differential Geometry 100 (3): 395-480 (2015)
 
 
- Categorified invariants and the braid group (with Grigsby)
 Proceedings of the American Mathematical Society 143: 2801-2014 (2015)
 
 
- Capping off open books and the Ozsvath-Szabo contact invariant
 Journal of Symplectic Geometry 11 (4): 1-37 (2013)
 
 
- Admissible transverse surgery does not preserve tightness (with Etnyre)
 Mathematische Annalen 357 (2): 441-468 (2013)
 
 
- On the equivalence of Legendrian and transverse invariants in knot Floer homology (with Vela-Vick, Vertesi)
 Geometry & Topology 17: 925-974 (2013)
 
 
- A combinatorial spanning tree model for knot Floer homology (with Levine)
 Advances in Mathematics 231: 1886-1939 (2012)
 
 
- Computations of Heegaard-Floer knot homology (with Gillam)
 Journal of Knot Theory and its Ramifications 21 (08): 65 pages (2012)
 
 
- Contact monoids and Stein cobordisms
 Mathematical Research Letters 19 (1): 31-40 (2012)
 
 
- A note on the support norm of a contact structure (with Etnyre)
 Proceedings of Symposia in Pure Mathematics 82: 79-88 (2011)
 
 
- On the spectral sequence from Khovanov homology to Heegaard Floer homology
 International Mathematics Research Notices 2011 (15): 3426-3470 (2011)
 
 
- Khovanov homology, open books, and tight contact structures (with Plamenevskaya)
 Advances in Mathematics 224 (6): 2544-2582 (2010)
 
 
- Comultiplication in link Floer homology and transversely non-simple links
 Algebraic & Geometric Topology 10: 1417-1436 (2010)
 
 
- Heegaard Floer homology and genus one, one boundary component open books
 Journal of Topology 1 (4): 963-992 (2008)
 
 
-  Comultiplicativity of the Ozsvath-Szabo contact invariant
 Mathematical Research Letters 15 (2): 273-287 (2008)
 
 
- Tight contact structures and genus one fibered knots
 Algebraic & Geometric Topology 7: 701-735 (2007)
 
 
- Self-conjugate t-core partitions, sums of squares, and p-blocks of An (with Depweg, Ford, Kunin, Sze)
 Journal of Algebra 297: 438-452 (2006)
 
 
- A reciprocity theorem for monomer-dimer coverings (with Anzalone, Bronshtein, Petersen)
 Discrete Mathematics & Theoretical Computer Science AB: 179-194 (2003)