Office: Math Tower 2-112
Stony Brook, NY 11794-3651
Fall 2019: MAT 341 (Applied Real Analysis); MAT 541 (Algebraic Topology I)
Areas of interest: low-dimensional topology, especially Heegaard Floer homology and contact and symplectic topology in dimensions 3 and 4.
Heegaard Floer invariants of contact structures on links of surface singularities (with J. Bodnár), arXiv:1809.10843, submitted.
Surface singularities and planar contact structures (with P. Ghiggini and M. Golla), Ann. Inst. Fourier, to appear, arXiv:1708.04108.
Braid monodromy, orderings, and transverse invariants, Algebr. Geom. Topol. 18 (2018), 3691–3718.
Loose Legendrians and the plastikstufe (with E. Murphy, K. Niederkrüger, A. Stipsicz), Geom. Topol. 17 (2013), 1791–1814.
Dehn surgery, rational open books, and knot Floer homology (with M. Hedden), Algebr. Geom. Top. 13(2013), 1815–1856.
On Legendrian surgeries between lens spaces J. Symp. Geom 10 (2012) pp. 165–182
Planar open books, monodromy factorizations, and symplectic fillings (with J. Van Horn-Morris), Geom. Topol. 14 (2010) no.4, pp. 2077–2101
Khovanov homology, open books, and tight contact structures (with J. A. Baldwin), Adv. Math. 224 (2010), no. 6, 2544–2582
On transverse knots and branched covers (with S. Harvey and K. Kawamuro), Int. Math. Res. Not. (2009), no. 3, 512--546.
A combinatorial description of the Heegaard Floer contact invariant, Alg. Geom. Top. 7 (2007), 1201–1209.
Transverse knots, branched double covers and Heegaard Floer contact invariants, J. Symplectic Geom. 4 (2006), no. 2, 149–170.
Transverse knots and Khovanov homology, Math. Res. Lett. 13 (2006), no. 4, 571–586.
Bounds for the Thurston–Bennequin number from Floer homology, Alg. Geom. Top. 4 (2004), 399–406.
Contact structures with distinct Heegaard Floer invariants, Math. Res. Lett. 11 (2004), no. 4, 547–561.
Click here to find these papers in the ArXiv.