Teaching
Office hours : Thursday 3pm.
Michaelmas Term 2022:
Previous Terms.
Recent Publications and Preprints
Preprints:
- Two second Steenrod squares for odd Khovanov homology, preprint. pdf.
- On an integral version of the Rasmussen invariant, preprint. pdf.
Recent Publications:
- 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 sln 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.
A full list of publications is available
here.
Software
Here is some software that I have written over the years.
- KnotJob. A programme calculating various knot invariants.
last modified: 20.09.2022.
|
|