Dr Richard Hepworth-Young

About

Telephone Number+44 (0)1224 272751Office AddressFraser Noble Building, Room 159School/DepartmentSchool of Natural and Computing Sciences Personal Website Research 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

Selected publications

• The Reachability Homology of a Directed Graph 2025 - PublishedHepworth-Young, R., Roff, E. International Mathematics Research Notices, vol. 2025, no. 3, rnae280Contributions to Journals: Articles[ONLINE] DOI: https://doi.org/10.1093/imrn/rnae280[OPEN ACCESS] https://aura.abdn.ac.uk/bitstreams/399a9335-ec25-44fd-8c7a-b1cbf7edcde1/download[ONLINE] View publication in Scopus
• [ONLINE] DOI: https://doi.org/10.1093/imrn/rnae280
• [OPEN ACCESS] https://aura.abdn.ac.uk/bitstreams/399a9335-ec25-44fd-8c7a-b1cbf7edcde1/download
• [ONLINE] View publication in Scopus
• The homology of the partition algebras 2024 - PublishedBoyd, R. J., Hepworth-Young, R., Patzt, P. Pacific Journal of Mathematics, vol. 327, no. 1, pp. 1-27Contributions to Journals: Articles[ONLINE] DOI: https://doi.org/10.2140/pjm.2023.327.1[OPEN ACCESS] https://aura.abdn.ac.uk/bitstreams/c11901d7-39dc-43f3-a73b-c2dd30d97464/download
• [ONLINE] DOI: https://doi.org/10.2140/pjm.2023.327.1
• [OPEN ACCESS] https://aura.abdn.ac.uk/bitstreams/c11901d7-39dc-43f3-a73b-c2dd30d97464/download
• The homology of the Temperley–Lieb algebras 2024 - PublishedBoyd, R. J., Hepworth, R. 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] https://aura.abdn.ac.uk/bitstreams/76903f33-7910-42c8-865f-cd56ea8bdc2c/download[ONLINE] View publication in Scopus
• [ONLINE] DOI: https://doi.org/10.2140/gt.2024.28.1437
• [OPEN ACCESS] https://aura.abdn.ac.uk/bitstreams/76903f33-7910-42c8-865f-cd56ea8bdc2c/download