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:
 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.
 Intersection homology of linkage spaces in odd dimensional Euclidean space, preprint, to appear in Algebr. Geom. Topol. pdf
 Intersection homology of linkage spaces, preprint, to appear in J. of Topology and Analysis. pdf
Recent Publications:
 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
 Novikov homology of HNNextensions and rightangled Artin groups, Algebr. Geom. Topol. 9 (2009), 773809. The original publication is available
here. pdf
 On the conjecture of Kevin Walker, with M. Farber and J.Cl. Hausmann, J. of Topology and Analysis 1 (2009), 6586. The original publication is available here. pdf © 2009 World Scientific Publishing Company.
A full list of publications is available
here.
last modified: 12.02.2016.

