Recent Publications and Preprints

• On computational complexity of Khovanov homology, preprint, with Tuomas Kelomäki. pdf.
• Efficient calculations of s-invariants for links, preprint. pdf.
• On variations of s-invariants from sl₃-link homology, preprint. pdf.
• Local equivalence and refinements of Rasmussen's s-invariant, preprint, to appear in J. Topol., with N. Dunfield and R. Lipshitz. pdf.

• On the Khovanov homology of 3-braids, preprint, to appear in Quantum Top. The original publication is available here. pdf.
• Two second Steenrod squares for odd Khovanov homology, Fund. Math. 271 (2025), 29-69. The original publication is available here. pdf.
• A note on the X-torsion order of a knot, Canad. Math. Bull. 68 (2025), 1082-1087. The original publication is available here. pdf.
• On an integral version of the Rasmussen invariant, Michigan Math. J. 75 (2025), 65-88. The original publication is available here. 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.