Papers

• Torus knots, the A-polynomial, and SL(2,C) (with Sivek)

Submitted

• Floer homology and non-fibered knot detection  (with Sivek)

Submitted

• Framed instanton homology and concordance, II  (with Sivek)

Submitted

• Floer homology and right-veering monodromy  (with Ni, Sivek)

Submitted

• Small Heegaard genus and SU(2) (with Sivek)

Algebraic & Geometric Topology, to appear

• Zero-surgery characterizes infinitely many knots (with Sivek)

Mathematical Research Letters, to appear

• An instanton take on some knot detection results (with Sivek)

Proceedings of Symposia in Pure Mathematics, to appear 

• Small Dehn surgery and SU(2)  (with Li, Sivek, Ye)

Geometry & Topology, to appear

• Khovanov homology and the cinquefoil  (with Hu, Sivek)

Journal of the European Mathematical Society, to appear

• Characterizing slopes for 5_2 (with Sivek)

Journal of the London Mathematical Society 109 (6): (2024)

• Instantons and L-space surgeries (with Sivek)

Journal of the European Mathematical Society 25 (10): 4033–4122 (2023)

• Sutured instanton homology and Heegaard diagrams  (with Li, Ye)

Compositio Mathematica 159 (9): 1898-1915 (2023)

• Instanton Floer homology of almost-rational plumbings (with Alfieri, Dai, Sivek)

Geometry & Topology 26 (5): 2237-2294 (2022) 

• Instanton L-spaces and splicing  (with Sivek)

Annales Henri Lebesgue 5: 1213-1233 (2022)

• L-space knots are fibered and strongly quasipositive (with Sivek)

The Open Book Series 5 (1): 81-94 (2022)   

• Khovanov homology detects the trefoils (with Sivek)

Duke Mathematical Journal 174 (4): 885-956 (2022)

• Lagrangian cobordisms and Legendrian invariants in knot Floer homology (with Lidman, Wong)

Michigan Mathematical Journal 71 (1): 145-175 (2022)

• Framed instanton homology and concordance (with Sivek)

Journal of Topology 14 (4): 1113-1175 (2021) 

• Khovanov homology detects the figure-eight knot (with Dowlin, Levine, Lidman, Sazdanovic)

Bulletin of the London Mathematical Society 53 (3): 871-876 (2021)

• On the equivalence of contact invariants in sutured Floer homology theories (with Sivek)

Geometry & Topology 25 (3): 1087-1164 (2021)

• Khovanov homology detects the Hopf links (with Sivek, Xie)

Mathematical Research Letters 26 (5): 1281-1290 (2019)

• On the functoriality of Khovanov-Floer theories (with Hedden, Lobb)

Advances in Mathematics 345: 3669-3690 (2019) 

• On the complexity of torus knot recognition (with Sivek)

Transactions of the American Mathematical Society 371 (6): 3831-3855 (2019)

• Invariants of Legendrian and transverse knots in monopole knot homology (with Sivek)

Journal of Symplectic Geometry 16 (4): 959-1000 (2018)

• Stein fillings and SU(2) representations (with Sivek)

Geometry & Topology 22: 4307-4380 (2018)

• A note on the knot Floer homology of fibered knots (with Vela-Vick)

Algebraic & Geometric Topology 18: 3669-3960 (2018)

• Khovanov and knot Floer homology for pointed links (with Levine, Sarkar)

Journal of Knot Theory and its Ramifications (Tim Cochran Memorial Volume) 26 (2): 49 pages (2017)

• 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)