Recent Publications and Preprints

• Local equivalence and refinements of Rasmussen's s-invariant, preprint, with N. Dunfield and R. Lipshitz. pdf.
• Two second Steenrod squares for odd Khovanov homology, preprint. pdf.

• On an integral version of the Rasmussen invariant, preprint, to appear in Michigan Math. Journal. pdf.
• A calculus for flow categories, with A. Lobb and P. Orson, Adv. Math. 409 B (2022), 108665, 58pp. The original publication is available here. pdf.
• A scanning algorithm for odd Khovanov homology, Algebr. Geom. Topol. 22 (2022), 1287-1324. The original publication is available here. pdf. Additional material.
• A fast algorithm for calculating s-invariants, Glasg. Math. J. 63 (2021), 378-399. The original publication is available here and a corrigendum here. pdf. Additional material.
• Arbitrarily large torsion in Khovanov cohomology, with S. Mukherjee, Quantum Top. 12 (2021), 243-264. The original publication is available here. pdf.
• Torsion calculations in Khovanov cohomology, J. Knot Theory Ramifications 29 (2020), 2071001, 7pp. The original publication is available here. pdf. Additional material.
• Khovanov homotopy calculations using flow category calculus, with A. Lobb and P. Orson, Exp. Math. 29 (2020), 475-500. The original publication is available here. pdf. Additional material.
• An sl_n stable homotopy type for matched diagrams, with D. Jones and A. Lobb, Adv. Math. 356 (2019), 106816, 70pp. The original publication is available here. pdf. Additional material.
• Framed cobordism and flow category moves, with A. Lobb and P. Orson, Algebr. Geom. Topol. 18 (2018), 2821-2858. The original publication is available here. pdf.
• Morse moves in flow categories, with D. Jones and A. Lobb, Indiana Univ. Math. J. 66 (2017), 1603-1657. The original publication is available here. pdf.
• A Khovanov stable homotopy type for colored links, with A. Lobb and P. Orson, Algebr. Geom. Topol. 17 (2017), 1261-1281. The original publication is available here. pdf. Additional material.