Sam Shepherd
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
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.
Preprints
Product separability for special cube complexes, arXiv, 2024
Separability properties of higher-rank GBS groups, with Jone Lopez de Gamiz Zearra, arXiv, 2023
Splittings of one-ended groups with one-ended halfspaces and non-1-acyclicity at infinity, with Michael Mihalik, arXiv, 2023
Graphically discrete groups and rigidity, with Alex Margolis, Emily Stark and Daniel J. Woodhouse, arXiv, 2023
Published or accepted for publication
Commensurability of lattices in right-angled buildings, Adv. Math. 441, 2024
Semistability of cubulated groups, Math. Ann. 387, no. 3-4, 2023
Imitator homomorphisms for special cube complexes, Trans. Amer. Math. Soc. 376, no. 1, 2023
A cubulation with no factor system, arXiv, 2022, to appear in Algebr. Geom. Topol.
Two generalisations of Leighton's theorem, with an appendix by Giles Gardam and Daniel J. Woodhouse, Groups Geom. Dyn. 16, no. 3, 2022
Leighton's Theorem: extensions, limitations, and quasitrees, with Martin R. Bridson, Algebr. Geom. Topol. 22 (2), 2022
Quasi-isometric rigidity for graphs of virtually free groups with two-ended edge groups, with Daniel J. Woodhouse, J. Reine Angew. Math. 782, 2022
Agol's theorem on hyperbolic cubulations, Rocky Mountain J. Math. 51 (3), 2021