My research is in algebraic topology, where we study spaces by `measuring' them using algebra. Currently I am interested in homological stability and magnitude homology. In the past I have worked on string topology, orbifolds and stacks.
I am currently involved in teaching the courses EG2012 Engineering Mathematics 2, MX4540 Knots, and MX4546 Algebraic Topology.
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Groups of convex bodiesGeometriae Dedicata, vol. 76, 217Contributions to Journals: Articles
Homological stability for Iwahori-hecke algebrasJournal of Topology, vol. 15, no. 4, pp. 2174-2215Contributions to Journals: Articles
THE HOMOLOGY OF THE TEMPERLEY-LIEB ALGEBRASGeometry & TopologyContributions to Journals: Articles
Magnitude cohomologyMathematische Zeitschrift, vol. 301, no. 4, pp. 3617-3640Contributions to Journals: Articles
Combinatorics of Injective words for temperley-lieb algebrasJournal of Combinatorial Theory, Series A, vol. 181, 105446Contributions to Journals: Articles
Persistent MagnitudeJournal of Pure and Applied Algebra, vol. 225, no. 3, 106517Contributions to Journals: Articles
The homology of the Brauer algebrasSelecta Mathematica, vol. 27, no. 5, 85Contributions to Journals: Articles
On the edge of the stable rangeMathematische Annalen, vol. 377, no. 1-2, pp. pages123–181Contributions to Journals: Articles
Categorifying the magnitude of a graphHomology, Homotopy and Applications, vol. 19, no. 2, pp. 31-60Contributions to Journals: Articles
Homological stability for families of Coxeter groupsAlgebraic & Geometric Topology, vol. 16, no. 5, pp. 2779-2811Contributions to Journals: Articles