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Address:
Institut für Mathematische Logik und Grundlagenforschung
Fachbereich Mathematik und Informatik, Universität Münster
Einsteinstraße 62, 48149 Münster, Germany
Email:
sam.shepherd@uni-muenster.de
I am currently a postdoc at the University of Münster, in the working group of Katrin Tent. Previosuly, I was a postdoc at Vanderbilt University. I completed my PhD at the University of Oxford, under the supervision of Martin Bridson.
Here is my CV.
Research Interests
Research Interests
Geometric Group Theory and Topology; including CAT(0) cube complexes and specialness, group splittings, Leighton’s graph covering theorem and generalisations, and quasi-isometric rigidity.
Published or accepted for publication
Published or accepted for publication
14. Common overlattices in trees and trees with fins, arXiv, 2026, to appear in the Journal of Algebra
13. Graphically discrete groups and rigidity, with Alex Margolis, Emily Stark and Daniel J. Woodhouse, J. Topol. 19, no. 1, 2026
12. Higher-rank GBS groups: non-positive curvature and biautomaticity, with Motiejus Valiunas, Geom. Dedicata 219, no. 5, 2025
11. A cubulation with no factor system, Algebr. Geom. Topol. 25, no. 1, 2025
10. Separability properties of higher-rank GBS groups, with Jone Lopez de Gamiz Zearra, Bull. Lond. Math. Soc. 57, no. 4, 2025
9. Product separability for special cube complexes, arXiv, 2024, to appear in Commentarii Mathematici Helvetici
8. Commensurability of lattices in right-angled buildings, Adv. Math. 441, 2024
7. Splittings of one-ended groups with one-ended halfspaces and non-1-acyclicity at infinity, with Michael Mihalik, arXiv, 2023, to appear in the Michigan Mathematical Journal
6. Semistability of cubulated groups, Math. Ann. 387, no. 3-4, 2023
5. Imitator homomorphisms for special cube complexes, Trans. Amer. Math. Soc. 376, no. 1, 2023
4. Two generalisations of Leighton's theorem, with an appendix by Giles Gardam and Daniel J. Woodhouse, Groups Geom. Dyn. 16, no. 3, 2022
3. Leighton's Theorem: extensions, limitations, and quasitrees, with Martin R. Bridson, Algebr. Geom. Topol. 22 (2), 2022
2. Quasi-isometric rigidity for graphs of virtually free groups with two-ended edge groups, with Daniel J. Woodhouse, J. Reine Angew. Math. 782, 2022
1. Agol's theorem on hyperbolic cubulations, Rocky Mountain J. Math. 51 (3), 2021
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