Dr Rachael Boyd

  • Lecturer (Mathematics)

email: Rachael.Boyd@glasgow.ac.uk
pronouns: She/her/hers

School of Mathematics and Statistics, University of Glasgow, University Place, Glasgow, G12 8QQ

Import to contacts

ORCID iDhttps://orcid.org/0000-0002-4544-3177

Biography

Personal webpage: https://www.maths.gla.ac.uk/~rboyd/

Research interests

I am interested in developing new methods to study algebraic objects through the lenses of geometry and topology. Some topics I'm interested in are Artin and Coxeter groups and monoids, classifying spaces of groups and group homology, topological invariants of diagram algebras, low dimensional embedding spaces, and diffeomorphism groups of 3-manifolds.

Research groups

Publications

List by: Type | Date

Jump to: 2025 | 2024 | 2023 | 2022 | 2021 | 2020
Number of items: 10.

2025

Boyd, Rachael ORCID logoORCID: https://orcid.org/0000-0002-4544-3177 and Bregman, Corey (2025) Embedding spaces of split links. Advances in Mathematics, (Accepted for Publication)

2024

Boyd, Rachael ORCID logoORCID: https://orcid.org/0000-0002-4544-3177 and Hepworth, Richard (2024) The homology of the Temperley-Lieb algebras. Geometry and Topology, 28(3), pp. 1437-1499. (doi: 10.2140/gt.2024.28.1437)

Boyd, Rachael ORCID logoORCID: https://orcid.org/0000-0002-4544-3177, Hepworth, Richard and Patzt, Peter (2024) The homology of the partition algebras. Pacific Journal of Mathematics, 327(1), pp. 1-27. (doi: 10.2140/pjm.2023.327.1)

Boyd, Rachael ORCID logoORCID: https://orcid.org/0000-0002-4544-3177, Charney, Ruth, Morris-Wright, Rose and Rees, Sarah (2024) The Artin monoid Cayley graph. Journal of Combinatorial Algebra, (doi: 10.4171/JCA/85) (Early Online Publication)

2023

Boyd, Rachael ORCID logoORCID: https://orcid.org/0000-0002-4544-3177, Kastenholz, Thorben and Mutanguha, Jean Pierre (2023) The minimal genus problem for right angled Artin groups. Geometriae Dedicata, 217(5), 93. (doi: 10.1007/s10711-023-00815-w)

2022

Boyd, Rachael ORCID logoORCID: https://orcid.org/0000-0002-4544-3177, Charney, Ruth and Morris-Wright, Rose (2022) A Deligne complex for Artin monoids. Journal of Algebra, 607(B), pp. 53-78. (doi: 10.1016/j.jalgebra.2021.03.015)

2021

Boyd, Rachael ORCID logoORCID: https://orcid.org/0000-0002-4544-3177, Hepworth, Richard and Patzt, Peter (2021) The homology of the Brauer algebras. Selecta Mathematica, 27(5), 85. (doi: 10.1007/s00029-021-00697-4)

Boyd, Rachael ORCID logoORCID: https://orcid.org/0000-0002-4544-3177 and Hepworth, Richard (2021) Combinatorics of injective words for Temperley-Lieb algebras. Journal of Combinatorial Theory, Series A, 181, 105446. (doi: 10.1016/j.jcta.2021.105446)

2020

Boyd, Rachael ORCID logoORCID: https://orcid.org/0000-0002-4544-3177 (2020) The low-dimensional homology of finite-rank Coxeter groups. Algebraic and Geometric Topology, 20(5), pp. 2609-2655. (doi: 10.2140/agt.2020.20.2609)

Boyd, Rachael ORCID logoORCID: https://orcid.org/0000-0002-4544-3177 (2020) Homological stability for Artin monoids. Proceedings of the London Mathematical Society, 121(3), pp. 537-583. (doi: 10.1112/plms.12335)

This list was generated on Sun Jun 15 04:33:58 2025 BST.
Jump to: Articles
Number of items: 10.

Articles

Boyd, Rachael ORCID logoORCID: https://orcid.org/0000-0002-4544-3177 and Bregman, Corey (2025) Embedding spaces of split links. Advances in Mathematics, (Accepted for Publication)

Boyd, Rachael ORCID logoORCID: https://orcid.org/0000-0002-4544-3177 and Hepworth, Richard (2024) The homology of the Temperley-Lieb algebras. Geometry and Topology, 28(3), pp. 1437-1499. (doi: 10.2140/gt.2024.28.1437)

Boyd, Rachael ORCID logoORCID: https://orcid.org/0000-0002-4544-3177, Hepworth, Richard and Patzt, Peter (2024) The homology of the partition algebras. Pacific Journal of Mathematics, 327(1), pp. 1-27. (doi: 10.2140/pjm.2023.327.1)

Boyd, Rachael ORCID logoORCID: https://orcid.org/0000-0002-4544-3177, Charney, Ruth, Morris-Wright, Rose and Rees, Sarah (2024) The Artin monoid Cayley graph. Journal of Combinatorial Algebra, (doi: 10.4171/JCA/85) (Early Online Publication)

Boyd, Rachael ORCID logoORCID: https://orcid.org/0000-0002-4544-3177, Kastenholz, Thorben and Mutanguha, Jean Pierre (2023) The minimal genus problem for right angled Artin groups. Geometriae Dedicata, 217(5), 93. (doi: 10.1007/s10711-023-00815-w)

Boyd, Rachael ORCID logoORCID: https://orcid.org/0000-0002-4544-3177, Charney, Ruth and Morris-Wright, Rose (2022) A Deligne complex for Artin monoids. Journal of Algebra, 607(B), pp. 53-78. (doi: 10.1016/j.jalgebra.2021.03.015)

Boyd, Rachael ORCID logoORCID: https://orcid.org/0000-0002-4544-3177, Hepworth, Richard and Patzt, Peter (2021) The homology of the Brauer algebras. Selecta Mathematica, 27(5), 85. (doi: 10.1007/s00029-021-00697-4)

Boyd, Rachael ORCID logoORCID: https://orcid.org/0000-0002-4544-3177 and Hepworth, Richard (2021) Combinatorics of injective words for Temperley-Lieb algebras. Journal of Combinatorial Theory, Series A, 181, 105446. (doi: 10.1016/j.jcta.2021.105446)

Boyd, Rachael ORCID logoORCID: https://orcid.org/0000-0002-4544-3177 (2020) The low-dimensional homology of finite-rank Coxeter groups. Algebraic and Geometric Topology, 20(5), pp. 2609-2655. (doi: 10.2140/agt.2020.20.2609)

Boyd, Rachael ORCID logoORCID: https://orcid.org/0000-0002-4544-3177 (2020) Homological stability for Artin monoids. Proceedings of the London Mathematical Society, 121(3), pp. 537-583. (doi: 10.1112/plms.12335)

This list was generated on Sun Jun 15 04:33:58 2025 BST.

Grants

https://gow.epsrc.ukri.org/NGBOViewPerson.aspx?PersonId=-797171

Supervision

Teaching

MATHS5048: 5M: Further Topics in Group Theory