Dr Richard Hepworth
Reader
- About
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Fraser Noble Building, Room 159
- Research
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Research Overview
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.
Collaborations
My collaborators include David Ayala, Rachael Boyd, Anssi Lahtinen and Simon Willerton.
- Teaching
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Teaching Responsibilities
I am currently involved in teaching the courses EG2012 Engineering Mathematics 2, MX4540 Knots, and MX4546 Algebraic Topology.
- Publications
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Page 1 of 2 Results 1 to 10 of 18
Groups of convex bodies
Geometriae DedicataContributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1007/s10711-023-00806-x
Homological stability for Iwahori-hecke algebras
Journal of Topology, vol. 15, no. 4, pp. 2174-2215Contributions to Journals: ArticlesTHE HOMOLOGY OF THE TEMPERLEY-LIEB ALGEBRAS
Geometry & TopologyContributions to Journals: ArticlesMagnitude cohomology
Mathematische ZeitschriftContributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1007/s00209-022-03013-8
Combinatorics of Injective words for temperley-lieb algebras
Journal of Combinatorial Theory, Series A, vol. 181, 105446Contributions to Journals: ArticlesPersistent Magnitude
Journal of Pure and Applied Algebra, vol. 225, no. 3, 106517Contributions to Journals: ArticlesThe homology of the Brauer algebras
Selecta Mathematica, vol. 27, no. 5, 85Contributions to Journals: ArticlesOn the edge of the stable range
Mathematische Annalen, vol. 377, no. 1-2, pp. pages123–181Contributions to Journals: Articles- [ONLINE] https://arxiv.org/abs/1608.08834
- [ONLINE] DOI: https://doi.org/10.1007/s00208-020-01955-0
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/14326/1/Hepworth_MA_OnTheEdgeOfTheStableRange_VoR.pdf
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/14326/2/Hepworth_MA_On_th_edge_VOR.pdf
- [ONLINE] View publication in Scopus
Categorifying the magnitude of a graph
Homology, Homotopy and Applications, vol. 19, no. 2, pp. 31-60Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.4310/HHA.2017.v19.n2.a3
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/9781/1/MagnitudeHomology.pdf
Homological stability for families of Coxeter groups
Algebraic & Geometric Topology, vol. 16, no. 5, pp. 2779-2811Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.2140/agt.2016.16.2779
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/7728/1/agt_v16_n5_p11_p.pdf
