Papers and preprints (click on title to view abstract), also available on the arXiv:

Framed instanton homology and concordance, II with John A. Baldwin
Floer homology and right-veering monodromy with John A. Baldwin and Yi Ni
Small Dehn surgery and SU(2) with John A. Baldwin, Zhenkun Li, and Fan Ye
Khovanov homology and the cinquefoil with John A. Baldwin and Ying Hu
J. Eur. Math. Soc., to appear; arXiv:2105.12102
Instanton L-spaces and splicing with John A. Baldwin
Ann. Henri Lebesgue, to appear; arXiv:2103.08087
Instanton Floer homology of almost-rational plumbings with Antonio Alfieri, John A. Baldwin, and Irving Dai
Geom. Topol., to appear; arXiv:2010.03800
Framed instanton homology and concordance with John A. Baldwin
J. Topology 14 (2021), no. 4, 1113–1175.
Surgery obstructions and character varieties with Raphael Zentner
Trans. Amer. Math. Soc. 375 (2022), no. 5, 3351–3380.
L-space knots are fibered and strongly quasipositive with John A. Baldwin
The Open Book Series, to appear; arXiv:1911.01866
Instantons and L-space surgeries with John A. Baldwin
J. Eur. Math. Soc., to appear; arXiv:1910.13374
A menagerie of SU(2)-cyclic 3-manifolds with Raphael Zentner
Int. Math. Res. Not. 2022, no. 11, 8038–8085.
Khovanov homology detects the Hopf links with John A. Baldwin and Yi Xie
Math. Res. Lett. 26 (2019), no. 5, 1281–1290.
Representations, sheaves, and Legendrian (2,m) torus links with Baptiste Chantraine and Lenhard Ng
J. London Math. Soc. 100 (2019), no. 1, 41–82.
Khovanov homology detects the trefoils with John A. Baldwin
Duke Math. J. 171 (2022), no. 4, 885–956.
SU(2)-cyclic surgeries and the pillowcase with Raphael Zentner
J. Differential Geom., to appear; arXiv:1710.01957
On the complexity of torus knot recognition with John A. Baldwin
Trans. Amer. Math. Soc. 371 (2019), no. 6, 3831–3855.
Stein fillings and SU(2) representations with John A. Baldwin
Geom. Topol. 22 (2018), no. 7, 4307–4380.
On the equivalence of contact invariants in sutured Floer homology theories with John A. Baldwin
Geom. Topol. 25 (2021), no. 3, 1087–1164.
The cardinality of the augmentation category of a Legendrian link with Lenhard Ng, Dan Rutherford, and Vivek Shende
Math. Res. Lett. 24 (2017), no. 6, 1845–1874.
Fillings of unit cotangent bundles with Jeremy Van Horn-Morris
Math. Ann. 368 (2017), no. 3–4, 1063–1080.
Quasi-alternating links with small determinant with Tye Lidman
Math. Proc. Cambridge Philos. Soc. 162 (2017), no. 2, 319–336.
Augmentations are sheaves with Lenhard Ng, Dan Rutherford, Vivek Shende, and Eric Zaslow
Geom. Topol. 24 (2020), no. 5, 2149–2286.
Obstructions to Lagrangian concordance with Christopher R. Cornwell and Lenhard Ng
Algebr. Geom. Topol. 16 (2016), no. 2, 797–824.
Contact structures and reducible surgeries with Tye Lidman
Compositio Math. 152 (2016), no. 1, 152–186.
Instanton Floer homology and contact structures with John A. Baldwin
Selecta Math. 22 (2016), no. 2, 939–978.
Invariants of Legendrian and transverse knots in monopole knot homology with John A. Baldwin
J. Symplectic Geom. 16 (2018), no. 4, 959–1000.
A contact invariant in sutured monopole homology with John A. Baldwin
Forum Math. Sigma 4 (2016), e12, 82 pp.
Sutured ECH is a natural invariant with Çağatay Kutluhan; appendix by C. H. Taubes
Mem. Amer. Math. Soc. 275 (2022), no. 1350, iii+136pp.
Naturality in sutured monopole and instanton homology with John A. Baldwin
J. Differential Geom. 100 (2015), no. 3, 395–480.
Donaldson invariants of symplectic manifolds Int. Math. Res. Not. 2015, no. 6, 1688–1716.
Monopole Floer homology and Legendrian knots Geom. Topol. 16 (2012), no. 2, 751–779. (Erratum | GT)
The contact homology of Legendrian knots with maximal Thurston-Bennequin invariant J. Symplectic Geom. 11 (2013), no. 2, 167–178. (Examples of representations)
A bordered Chekanov-Eliashberg algebra J. Topology 4 (2011), no. 1, 73–104.
On the Sn-modules generated by partitions of a given shape with Daniel Kane
Electron. J. Combin. 15 (2008), #R111.
Some plethysm results related to Foulkes' conjecture Electron. J. Combin. 13 (2006), #R24.


Compute Legendrian knot invariants, including linearized contact homology, ruling polynomials, and augmentation categories (updated 2015-05-03).
Compute d3 invariants of tight contact structures on lens spaces.