Sam Shepherd

Department of Mathematics, 1326 Stevenson Center, Vanderbilt University, Nashville, TN 37240

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.


A cubulation with no factor system , arXiv, 2022

Semistability of cubulated groups , arXiv, 2022, to appear in Math. Ann.

Commensurability of lattices in right-angled buildings, arXiv, 2022

Imitator homomorphisms for special cube complexes, arXiv, 2021, to appear in Trans. Amer. Math. Soc.

Two generalisations of Leighton's theorem , with an appendix by Giles Gardam and Daniel J. Woodhouse, arXiv, 2019, to appear in Groups Geom. Dyn.


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