Preprints
A counterexample to Batson's conjecture.
Almost positive links are strongly quasipositive , (with Peter Feller and Lukas Lewark).
A calculus for flow categories , (with Patrick Orson and Dirk Schuetz).
The Dold-Whitney theorem and the Sato-Levine invariant.
An sl(n) stable homotopy type for matched diagrams , (with Dan Jones and Dirk Schuetz).
Non-pure preprints
Social learning errors and the evolution of material culture , (with Lauren Scanlon, Jeremy Kendal, and Jamie Tehrani).
Published or accepted papers
On spectral sequences from Khovanov homology , (with Raphael Zentner). To appear in Algebr. Geom. Topol.
On the functoriality of Khovanov-Floer theories , (with John Baldwin and Matt Hedden). Adv. Math. 2019 345: 1162-1205.
Khovanov homotopy calculations using flow category calculus , (with Patrick Orson and Dirk Schuetz). To appear in Experiment. Math.
Upsilon-like concordance invariants from sl(n) knot cohomology , (with Lukas Lewark). Geom. Topol. 23 (2019) 745–780
Framed cobordism and flow category moves , (with Patrick Orson and Dirk Schuetz). Algebr. Geom. Topol. 18 (2018), 2821-2858.
A Khovanov stable homotopy type for colored links , (with Patrick Orson and Dirk Schuetz), Algebr. Geom. Topol. 17 (2017) 1261–1281.
Morse moves in flow categories , (with Dan Jones and Dirk Schuetz), Indiana Univ. Math. J. 2017 66(5): 1603-1657.
New quantum obstructions to sliceness , (with Lukas Lewark) Proc. Lond. Math. Soc. 2016 112(1): 81-114.
2-strand twisting and knots with identical quantum knot homologies , Geom. Topol. 2014 18(2): 873-895.
The quantum sl(N) graph invariant and a moduli space , (with Raphael Zentner) Int. Math. Res. Not. IMRN 2014, Vol. 2014, No. 7: 1956-1972.
The Kanenobu knots and Khovanov-Rozansky homology , Proc. Amer. Math. Soc. 2014 142(4): 1447-1455.
A note on Gornik's perturbation of Khovanov-Rozansky homology , Algebr. Geom. Topol. 2012 12(1): 293-305.
Computable bounds for Rasmussen's concordance invariant , Compos. Math. 2011 147(2): 661-668.
Casson-type moduli spaces for definite 4-manifolds , (with Raphael Zentner) Q. J. Math. 2010 62(2): 433-450.
A slice-genus lower bound from sl(n) Khovanov-Rozansky homology , Adv. Math. 2009 222(4): 1220-1276.
Juvenilia
On S.P numbers (with Paul Belcher, H.J. Godwin, Nick Lord, K. Robin McLean, and Phillip Williams) Math. Gaz. 82, (1998), 72-75
Deriving the nth Catalan number. Math. Gaz. 83 (1999), 109-110.
.