Sam Shepherd
Fourth Year DPhil Student
Status:
Postgraduate Student
Personal website:
CV (114.98K)
+44 1865 615352
Research groups:
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Research interests:
- Geometric group theory
- Cube complexes
- Leighton's Theorem
- Quasi-isometric rigidity
Teaching:
MT20: Tutor for Infinite Groups (Part C)
TT20: Tutor for Group Theory (Part A)
HT20: TA for Geometric Group Theory (Part C)
MT19: TA for Infinite Groups (Part C)
HT19: TA for Geometric Group Theory (Part C)
MT18: TA for Topology and Groups (Part B)
MT17: TA for Geometry of Surfaces (Part B)
Major / recent publications:
- Quasi-isometric rigidity for graphs of virtually free groups with two-ended edge groups (joint with Daniel J. Woodhouse), arXiv:2007.10034
- Leighton's Theorem: extensions, limitations, and quasitrees (joint with Martin R. Bridson), arXiv:2009.04305
- Two Generalisation's of Leighton's Theorem (with appendix by Giles Gardam and Daniel J. Woodhouse), arXiv:1908.00830
- Agol's Theorem for hyperbolic cubulations, arXiv:1905.06199, Rocky Mountain J. Math., to appear