Research output per year
Research output per year
Personal profile
Research interests
I work in the field of geometric group theory. I am particularly interested in studying actions on nonpositively curved spaces of large classes of groups (such as Artin and Coxeter groups) in order to understand their algebraic and geometric structure.
Biography
I arrived at Heriot-Watt University as assistant professor in 2017. Before that, I was a postdoc at the University of Vienna (Austria) during the period 2013-2017, and a Lise Meitner postdoctoral fellow during 2015-2017.
I did my undergraduate and postgraduate studies at École Normale Supérieure in Paris during the period 2006-2010, after which I did my PhD at the University of Strasbourg (France), 2010-2013.
Roles & Responsibilities
co-director of the Maxwell Institute for the Mathematical Sciences
Coordinator of the research network "North British Geometric Group Theory"
Editor for Proceedings of the Edinburgh Mathematical Society
Research Grants and Projects
10/25-09/28 Project Lead of the EPSRC Standard Grant "The Geometry of the Isomorphism Problem for Artin Groups" (UKRI1018)
09/19-02/22 Project Lead of EPSRC New Investigator Award "Geometry of Artin Group Actions" (EP/S010963/1)
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Collaborations and top research areas from the last five years
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Combination theorems for Wise's power alternative
Hagen, M., Martin, A. & Sartori, G., Jan 2026, In: Journal of the London Mathematical Society. 113, 1, e70411.Research output: Contribution to journal › Article › peer-review
Open AccessFile2 Downloads (Pure) -
Acylindrical hyperbolicity for Artin groups with a visual splitting
Charney, R., Martin, A. & Morris-Wright, R., 15 Apr 2025, (Accepted/In press) In: Algebraic and Geometric Topology.Research output: Contribution to journal › Article › peer-review
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A combinatorial take on hierarchical hyperbolicity and applications to quotients of mapping class groups
Behrstock, J., Hagen, M. F., Martin, A. & Sisto, A., Sept 2024, In: Journal of Topology. 17, 3, e12351.Research output: Contribution to journal › Article › peer-review
Open AccessFile6 Citations (Scopus)69 Downloads (Pure) -
Characterising large-type Artin groups
Martin, A. & Vaskou, N., Nov 2024, In: Bulletin of the London Mathematical Society. 56, 11, p. 3346-3357 12 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile2 Citations (Scopus)112 Downloads (Pure) -
Extra-large type Artin groups are hierarchically hyperbolic
Hagen, M., Martin, A. & Sisto, A., Jan 2024, In: Mathematische Annalen. 388, p. 867-938 72 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile8 Citations (Scopus)124 Downloads (Pure)
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North British Geometric Group Theory meeting
Martin, A. (Organiser)
5 Nov 2025Activity: Participating in or organising an event › Participation in conference
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Non-positive curvature and applications
Martin, A. (Invited speaker)
2 Jul 2025 → 18 Jul 2025Activity: Talk or presentation › Invited talk
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North British Geometric Group Theory
Martin, A. (Organiser)
10 May 2024Activity: Participating in or organising an event › Participation in conference
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Proceedings of the Edinburgh Mathematical Society (Journal)
Martin, A. (Editorial board member)
1 Feb 2024 → …Activity: Publication peer-review and editorial work › Editorial activity
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Combinatorial non-positive curvature
Martin, A. (Speaker)
1 Sept 2024 → 6 Sept 2024Activity: Talk or presentation › Invited talk