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 Topology 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 : Tuesday, 15:00
Epiphany Term 2016:
Previous Terms.
Recent Publications and Preprints
Preprints:
 Framed cobordism and flow category moves, with A. Lobb and P. Orson, preprint. pdf.
 A Khovanov stable homotopy type for colored links, with A. Lobb and P. Orson, preprint. pdf. Additional material.
 Morse moves in flow categories, with D. Jones and A. Lobb, preprint. pdf.
 An sl_{n} stable homotopy type for matched diagrams, with D. Jones and A. Lobb, preprint. pdf. Additional material.
Recent Publications:
 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
 On singular foliations on the solid torus, with J.L. Arraut and L.F. Martins, Topology Appl. 160 (2013), 16591674. The original publication is available here. pdf
 Homology of moduli spaces of linkages in highdimensional euclidean space, Algebr. Geom. Topol. 13 (2013), 11831224. The original publication is available here. pdf
 The Walker conjecture for chains in R^{d}, with M. Farber and J.Cl. Hausmann, Math. Proc. Cambridge Philos. Soc. 151 (2011), 283292. The original publication is available here. pdf
 On the relative LusternikSchnirelmann category with respect to a real cohomology class, with Tieqiang Li, Glasg. Math. J. 53 (2011), 169183. The original publication is available here. pdf
 The isomorphism problem for planar polygon spaces, J. Topol. 3 (2010), 713742. The original publication is available here. pdf
 Closed 1forms in topology and geometric group theory, with M. Farber and R. Geoghegan, Uspekhi Mat. Nauk 65 (2010), 145176; translation in Russian Math. Surveys 65 (2010), 143172. The original publication is available here. pdf
A full list of publications is available
here.
last modified: 16.06.2016.

