Sam Shepherd
Address:
Department of Mathematics, 1326 Stevenson Center, Vanderbilt University, Nashville, TN 37240
Email:
sjkshepherd@gmail.com
I am currently 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, Leighton’s graph covering theorem and generalisations, and quasi-isometric rigidity.
Preprints
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
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
Commensurability of lattices in right-angled buildings, arXiv, 2022, to appear in Adv. Math.
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