Dr Richard Hepworth-Young
Reader
- About
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- Telephone Number
- +44 (0)1224 272751
- Office Address
Fraser Noble Building, Room 159
- School/Department
- School of Natural and Computing Sciences
- 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 20
The Reachability Homology of a Directed Graph
International Mathematics Research Notices, vol. 2025, no. 3, rnae280Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1093/imrn/rnae280
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstreams/399a9335-ec25-44fd-8c7a-b1cbf7edcde1/download
- [ONLINE] View publication in Scopus
The homology of the partition algebras
Pacific Journal of Mathematics, vol. 327, no. 1, pp. 1-27Contributions to Journals: ArticlesThe homology of the Temperley–Lieb algebras
Geometry & Topology, vol. 28, no. 3, pp. 1437–1499Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.2140/gt.2024.28.1437
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstreams/76903f33-7910-42c8-865f-cd56ea8bdc2c/download
- [ONLINE] View publication in Scopus
Groups of convex bodies
Geometriae Dedicata, vol. 76, 217Contributions to Journals: ArticlesHomological stability for Iwahori-hecke algebras
Journal of Topology, vol. 15, no. 4, pp. 2174-2215Contributions to Journals: ArticlesMagnitude cohomology
Mathematische Zeitschrift, vol. 301, no. 4, pp. 3617-3640Contributions to Journals: ArticlesCombinatorics of Injective words for temperley-lieb algebras
Journal of Combinatorial Theory, Series A, vol. 181, 105446Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1016/j.jcta.2021.105446
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstreams/23f86831-fcbc-4c4d-9fb1-2be8d4c8b7b5/download
- [ONLINE] View publication in Scopus
Persistent Magnitude
Journal of Pure and Applied Algebra, vol. 225, no. 3, 106517Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1016/j.jpaa.2020.106517
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstreams/1acd9af5-dfd2-4a9a-9ce4-22c60c5a193a/download
- [ONLINE] View publication in Scopus
The 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/bitstreams/270fcae9-b505-4127-b3d5-b1f2835c6d2c/download
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstreams/6722d651-addf-4173-a6af-9f5e1b3cc1a8/download
- [ONLINE] View publication in Scopus
