Matt T. Clay
Affiliation confirmed via AI analysis of OpenAlex, ORCID, and web sources.
Professor / Department Chair
Also affiliated: Allegheny College (2007–2012); University of British Columbia (2014–2015); University at Buffalo, State University of New York (2015–2022); University of Oklahoma (2007–2009)
Research Areas
Biomedical Subjects
Links
Biography and Research Information
OverviewAI-generated summary
Matt T. Clay's research focuses on abstract algebra, specifically group theory. His work investigates the properties of various types of groups, including Baumslag–Solitar groups, right-angled Artin groups, and generalized Baumslag–Solitar groups. He has published research on topics such as the uniform hyperbolicity of curve graphs via surgery sequences, twisting fully irreducible automorphisms, and the isomorphism problem for generalized Baumslag–Solitar groups.
His other publications explore the growth of intersection numbers for free group automorphisms and conditions under which right-angled Artin groups split over ℤ. Clay also studies deformation spaces of G-trees and automorphisms of Baumslag–Solitar groups, as well as stable commutator length in Baumslag–Solitar groups and quasimorphisms for tree actions. Additionally, his research has touched upon abstract commensurators of right-angled Artin groups and mapping class groups.
Clay holds a Professor and Department Chair position at the University of Arkansas at Fayetteville. His scholarship metrics include an h-index of 9, with 65 total publications and 317 total citations. He has received NSF funding for the 2025 Redbud Topology Conference, serving as PI for $29,664. He collaborates with Yo’av Rieck, with whom he shares one publication.
Metrics
- h-index: 10
- Publications: 59
- Citations: 317
Positions
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Professor / Department Chair 2021–presentUniversity of Arkansas Department of Mathematical Sciences ORCID
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University of Arkansas Fayetteville 2012–presentDepartment of Mathematical Sciences ORCID
Selected Publications
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Subgraph entropy (2026)
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Bounded projections to the Z$\mathcal {Z}$‐factor graph (2025)
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Chain flaring and L2-torsion of free-by-cyclic groups (2023)
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Geometric Group Theory (2022)
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Hyperbolic quotients of projection complexes (2022)
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Right-angled Artin groups as normal subgroups of mapping class groups (2021)
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Minimal volume entropy of free-by-cyclic groups and 2-dimensional right-angled Artin groups (2021)
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Right-angled Artin groups as normal subgroups of mapping class groups (2020)
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Atoroidal dynamics of subgroups of Out(FN) (2020)
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Uniform fellow traveling between surgery paths in the sphere graph (2017)
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4 STABLE COMMUTATOR LENGTH IN BAUMSLAG–SOLITAR GROUPS AND QUASIMORPHISMS FOR TREE ACTIONS (2016)12 citations OpenAlex
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ℓ2-TORSION OF FREE-BY-CYCLIC GROUPS (2016)
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ℓ2 -homology of the free group (2016)
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$\ell^{2}$-torsion of free-by-cyclic groups (2015)
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An algorithm to detect full irreducibility by bounding the volume of periodic free factors (2015)
Federal Grants 1 $29,664 total
Collaboration Network
Top Collaborators
- Right-angled Artin groups as normal subgroups of mapping class groups
- Right-angled Artin groups as normal subgroups of mapping class groups
- Hyperbolic quotients of projection complexes
- An algorithm to detect full irreducibility by bounding the volume of periodic free factors
- Abstract commensurators of right-angled Artin groups and mapping class groups
- Right-angled Artin groups as normal subgroups of mapping class groups
- Right-angled Artin groups as normal subgroups of mapping class groups
- Abstract commensurators of right-angled Artin groups and mapping class groups
- Abstract commensurators of right-angled Artin groups and mapping class groups
- Abstract commensurators of right-angled Artin groups and mapping class groups
- Uniform hyperbolicity of the curve graph via surgery sequences
- Uniform fellow traveling between surgery paths in the sphere graph
- Atoroidal dynamics of subgroups of Out(FN)
- Bounded projections to the Z$\mathcal {Z}$‐factor graph
- An algorithm to detect full irreducibility by bounding the volume of periodic free factors
- Uniform hyperbolicity of the curve graph via surgery sequences
- Uniform fellow traveling between surgery paths in the sphere graph
- Minimal volume entropy of free-by-cyclic groups and 2-dimensional right-angled Artin groups
- 4 STABLE COMMUTATOR LENGTH IN BAUMSLAG–SOLITAR GROUPS AND QUASIMORPHISMS FOR TREE ACTIONS
- 4 STABLE COMMUTATOR LENGTH IN BAUMSLAG–SOLITAR GROUPS AND QUASIMORPHISMS FOR TREE ACTIONS
- Subgraph entropy
- Subgraph entropy