51cg

People

Dr Richard Hepworth-Young

Dr Richard Hepworth-Young
Dr Richard Hepworth-Young
Dr Richard Hepworth-Young

Reader

51cg
Telephone Number
+44 (0)1224 272751
Office Address

Fraser Noble Building, Room 159

School/Department
School of Natural and Computing Sciences

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 , , and .

Teaching

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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  • The Reachability Homology of a Directed Graph

    Hepworth-Young, R., Roff, E.
    International Mathematics Research Notices, vol. 2025, no. 3, rnae280
    Contributions to Journals: Articles
    • [ONLINE] DOI:
    • [OPEN ACCESS]
    • [ONLINE]

  • The homology of the partition algebras

    Boyd, R. J., Hepworth-Young, R., Patzt, P.
    Pacific Journal of Mathematics, vol. 327, no. 1, pp. 1-27
    Contributions to Journals: Articles
    • [ONLINE] DOI:
    • [OPEN ACCESS]

  • The homology of the Temperley–Lieb algebras

    Boyd, R. J., Hepworth, R.
    Geometry & Topology, vol. 28, no. 3, pp. 1437–1499
    Contributions to Journals: Articles
    • [ONLINE] DOI:
    • [OPEN ACCESS]
    • [ONLINE]

  • Groups of convex bodies

    Hepworth, R.
    Geometriae Dedicata, vol. 76, 217
    Contributions to Journals: Articles
    • [ONLINE] DOI:
    • [OPEN ACCESS]

  • Homological stability for Iwahori-hecke algebras

    Hepworth, R.
    Journal of Topology, vol. 15, no. 4, pp. 2174-2215
    Contributions to Journals: Articles
    • [ONLINE] DOI:
    • [OPEN ACCESS]
    • [OPEN ACCESS]

  • Magnitude cohomology

    Hepworth, R.
    Mathematische Zeitschrift, vol. 301, no. 4, pp. 3617-3640
    Contributions to Journals: Articles
    • [ONLINE] DOI:
    • [OPEN ACCESS]

  • Combinatorics of Injective words for temperley-lieb algebras

    Boyd, R., Hepworth, R.
    Journal of Combinatorial Theory, Series A, vol. 181, 105446
    Contributions to Journals: Articles
    • [ONLINE] DOI:
    • [OPEN ACCESS]
    • [ONLINE]

  • Persistent Magnitude

    Govc, D., Hepworth, R.
    Journal of Pure and Applied Algebra, vol. 225, no. 3, 106517
    Contributions to Journals: Articles
    • [ONLINE] DOI:
    • [OPEN ACCESS]
    • [ONLINE]

  • The homology of the Brauer algebras

    Boyd, R., Hepworth, R., Patzt, P.
    Selecta Mathematica, vol. 27, no. 5, 85
    Contributions to Journals: Articles
    • [ONLINE] DOI:
    • [OPEN ACCESS]

  • On the edge of the stable range

    Hepworth, R.
    Mathematische Annalen, vol. 377, no. 1-2, pp. pages123–181
    Contributions to Journals: Articles
    • [ONLINE]
    • [ONLINE] DOI:
    • [OPEN ACCESS]
    • [OPEN ACCESS]
    • [ONLINE]

  • Categorifying the magnitude of a graph

    Hepworth, R., Willerton, S.
    Homology, Homotopy and Applications, vol. 19, no. 2, pp. 31-60
    Contributions to Journals: Articles
    • [ONLINE] DOI:
    • [OPEN ACCESS]

  • Homological stability for families of Coxeter groups

    Hepworth, R.
    Algebraic & Geometric Topology, vol. 16, no. 5, pp. 2779-2811
    Contributions to Journals: Articles
    • [ONLINE] DOI:
    • [OPEN ACCESS]

  • On string topology of classifying spaces

    Hepworth, R., Lahtinen, A.
    Advances in Mathematics, vol. 281, pp. 394-507
    Contributions to Journals: Articles
    • [ONLINE] DOI:
    • [OPEN ACCESS]

  • Configuration spaces and theta_n

    Ayala, D., Hepworth, R.
    Proceedings of the American Mathematical Society, vol. 142, pp. 2243-2254
    Contributions to Journals: Articles
    • [ONLINE] DOI:
    • [OPEN ACCESS]

  • Groups, cacti and framed little discs

    Hepworth, R.
    Transactions of the American Mathematical Society, vol. 365, no. 5, pp. 2597-2636
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • The age grading and the Chen-Ruan cup product

    Hepworth, R.
    Bulletin of the London Mathematical Society, vol. 42, no. 5, pp. 868-878
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • String topology for Lie groups

    Hepworth, R. A.
    Journal of Topology, vol. 3, no. 2, pp. 424-442
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Morse Inequalities for Orbifold Cohomology

    Hepworth, R.
    Algebraic & Geometric Topology, vol. 9, no. 2, pp. 1105-1175
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Vector fields and flows on differentiable stacks

    Hepworth, R.
    Theory and Applications of Categories, vol. 22, no. 21, pp. 542-587
    Contributions to Journals: Articles
    • [ONLINE]

  • The topology of certain 3-Sasakian 7-Manifolds

    Hepworth, R. A.
    Mathematische Annalen, vol. 339, no. 4, pp. 733–755
    Contributions to Journals: Articles
    • [ONLINE] DOI:
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