Papers published or submitted

 On knot Floer homology and cabling, 
    Algebraic & Geometric Topology 5 (2005) 1197–1222Publications_files/agt-5-48.pdf
Knot Floer homology of Whitehead doubles,
    Geometry and Topology  11 (2007) 2277–2338Publications_files/gt-11-046.pdf
(w. P. Ording) The Ozsváth-Szabó and Rasmussen concordance invariants are not equal,
    American Journal of Mathematics 130(2) (2008) 441-453Publications_files/0512348v1.pdf
An Ozsváth-Szabó Floer homology invariant of knots in a contact manifold,
    Advances in Mathematics  219 (2008) 89–117Publications_files/tbsubmit.pdf
Notions of positivity and the Ozsvath-Szabo concordance invariant,
     Journal of Knot Theory and its Ramifications 19(5) (2010) 617-629Publications_files/SQP.pdf
 
On knot Floer homology and cabling II
    International Mathematics Research Notices (2009) rnp015, 2248-2274Publications_files/0806.2172v2.pdf
Some remarks on cabling, contact structures, and complex curves, 
    Proceedings of the 2007 Gokova Geometry and Topology Conference (2008) 49-59Publications_files/cablingcotactcomplex.pdf

Thesis

 On knot Floer homology and cabling, 
    Ph.D. Thesis, Columbia UniversityPublications_files/thesis.pdf
On Floer homology and the Berge conjecture on knots admitting lens space surgeries, 
    Transactions of the American Mathematical Society 363(2) (2011) 949-968Publications_files/HeddenTRAN5117.pdf
(w. K. Baker & E. Grigsby) Grid Diagrams for Lens Spaces and Combinatorial Knot Floer Homology, 
    International Mathematics Research Notices  (2008) rnn024, 39 pagesPublications_files/0710.0359v2.pdf
Khovanov homology of the 2-cable detects the unknot
    Mathematical Research Letters 16(6) (2009) 991-994Publications_files/Hedden-1.pdf
(w. L. Watson) Does Khovanov homology detect the unknot?
    American Journal of Mathematics 132(5) (2010) 1339-1345Publications_files/paper-AJM-version.pdf
(w. Y. Ni) Manifolds with small Heegaard Floer ranks
    Geometry & Topology 14 (2010) 1479-1501Publications_files/smallranks.pdf
(w. C. Livingston & D. Ruberman) Topologically slice knots with nontrivial Alexander polynomial
   Advances in Mathematics 231(2) (2012) 913-939Publications_files/topslicepoly1.pdf
(w. P. Kirk) Instantons, concordance, and Whitehead doubling
    Journal of Differential Geometry 91(2) (2012) 281-391Publications_files/CSWhitehead.pdf
(w. A. Juhasz & S. Sarkar) On sutured Floer homology and the equivalence of Seifert surfaces
   Algebraic & Geometric Topology 13(1) (2013) 505-548Publications_files/seifert.pdf
(w. P. Kirk) Chern-Simons, Instantons, and Z/2 homology cobordism
   Chern-Simons gauge theory: 20 years after, AMS/IP Stud. Adv. Math. 50, (2011) 83-114Publications_files/CSinstantonversionsenttoHans.pdf
(w. P. Kirk & C. Livingston) Non-slice linear combinations of algebraic knots
   Journal of the European Mathematical Society 14(4) (2012) 1181-1208Publications_files/Non-slice%20linear%20combinations%20of%20algebraic%20knots.pdf
(w. T. Cochran, B. Franklin, & P. Horn) Knot concordance and homology cobordism
    Proceedings of the American Mathematical Society 141(6) (2013) 2193-2208Publications_files/KNOT%20CONCORDANCE%20AND%20HOMOLOGY%20COBORDISM.pdf
(w. O. Plamenevskaya) Dehn surgery, rational open books and knot Floer homology
    Algebraic & Geometric Topology 13(3) (2013) 1815-1856Publications_files/DEHN%20SURGERY,%20RATIONAL%20OPEN%20BOOKS,%20AND%20KNOT%20FLOER%20HOMOLOGY.pdf
(w. C. Herald & P. Kirk) The pillowcase and perturbations of traceless representations of knot groups
    to appear Geometry & TopologyPublications_files/perturbationsGT.pdf
(w. Y. Ni) Khovanov module and the detection of unlinks
    to appear Geometry & TopologyPublications_files/HomoActGT.pdf
(w. C. Livingston & Se-Goo Kim) Topologically slice knots of smooth concordance order two
    submittedPublications_files/Order_Two.pdf
(w. A. Levine) Splicing knot complements and bordered Floer homology
    to appear  J. Reine Angew. Math.Publications_files/splicing4.pdf
(w. L. Watson) On the geography and botany of knot Floer homology
    submittedPublications_files/1404.6913.pdf
(w. M. Borodzik & C. Livingston) Plane algebraic curves of arbitrary genus via Heegaard Floer homology
    submittedPublications_files/1409.2111.pdf
(w. T. Mark) Floer homology and fractional Dehn twistsfile://localhost/mycv.pdf
(w. C. Herald & P. Kirk)  Pillowcase homology I: A lagrangian Floer analogue of singular instanton homologyPublications_files/perturbationsGT_1.pdf
(w. C. Herald & P. Kirk) Pillowcase homology II: Exact triangles and a spectral sequence from Khovanov homologyPublications_files/perturbationsGT_2.pdf
(w. J. Baldwin & A. Lobb) On the functoriality of Khovanov-Floer theories
Publications_files/1404.6913_1.pdf

Articles actively in preparation(preprints available upon request)

Articles on hold that I plan to finish someday(drafts available upon request)

(w. Sucharit Sarkar) Knot Floer homology and Murasugi sums
Publications_files/1409.2111_1.pdf
Knot theory and algebraic curves in subcritical Stein domains
Publications_files/1409.2111_2.pdf
Knot Floer homology and the relative adjunction inequalityPublications_files/1409.2111_3.pdf