Dr Richard Hepworth
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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Persistent MagnitudeJournal of Pure and Applied Algebra, vol. 225, no. 3, 106517Contributions to Journals: Articles
Combinatorics of Injective words for temperley-lieb algebrasJournal of Combinatorial Theory, Series A, vol. 181, 105446Contributions 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. 123–181Contributions 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
On string topology of classifying spacesAdvances in Mathematics, vol. 281, pp. 394-507Contributions to Journals: Articles
Configuration spaces and theta_nProceedings of the American Mathematical Society, vol. 142, pp. 2243-2254Contributions to Journals: Articles
Groups, cacti and framed little discsTransactions of the American Mathematical Society, vol. 365, no. 5, pp. 2597-2636Contributions to Journals: Articles
The age grading and the Chen-Ruan cup productBulletin of the London Mathematical Society, vol. 42, no. 5, pp. 868-878Contributions to Journals: Articles