Research
My research interests include
 Knot Theory
 Topological Robotics
 Topology of closed 1forms
 Assembly maps in algebraic K and Ltheory
 Parametrized fixed point theory
For more information on research in topology here in Durham see the
Durham Pure Mathematics Research Page.
The
Durham Conference on Geometry and Topology in Honour of John Bolton and Cherry Kearton took place 2022 June 2010.
Teaching
Office hours : Monday 11:00, Tuesday, 11:00
Epiphany Term 2020:
Previous Terms.
Recent Publications and Preprints
Preprints:
 A scanning algorithm for odd Khovanov homology, preprint. pdf. Additional material.
 A calculus for flow categories, with A. Lobb and P. Orson, preprint. pdf.
Recent Publications:
 A fast algorithm for calculating sinvariants, to appear in Glasg. Math. J. pdf. Additional material.
 Arbitrarily large torsion in Khovanov cohomology, with S. Mukherjee, to appear in Quantum Top. pdf.
 Torsion calculations in Khovanov cohomology, to appear in J. Knot Theory Ramifications. pdf. Additional material.
 Khovanov homotopy calculations using flow category calculus, with A. Lobb and P. Orson, to appear in Exp. Math. pdf. Additional material.
 An sl_{n} stable homotopy type for matched diagrams, with D. Jones and A. Lobb, Adv. Math. 356 (2019), 106816. 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), 28212858. The original publication is available here. pdf.
 Morse moves in flow categories, with D. Jones and A. Lobb, Indiana Univ. Math. J. 66 (2017), 16031657. 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), 12611281. The original publication is available here. pdf. Additional material.
 Intersection homology of linkage spaces in odd dimensional Euclidean space, Algebr. Geom. Topol. 16 (2016), 483508. The original publication is available here. pdf
 Intersection homology of linkage spaces, J. Topol. Anal. 8 (2016), 2558. The original publication is available here. pdf
A full list of publications is available
here.
last modified: 17.08.2020.

