Education

MMath

Oxford University (1998)

DPhil

Oxford University (2002)

Honours

• NSF Grant 2004-7

---

Publications

The Geometry of the Word Problem for Finitely Generated Groups (2007)
N. Brady, T.R. Riley, H. Short
Publisher: Birkhauser-Verlag
URL provided by the author

Diameters of Cayley graphs of Chevalley Groups (2007)
M. Kassabov, T.R. Riley
Eur. J. Comb. vol: 28 , Issue: 3 , Pages: 791 - 800
URL provided by the author

Full list of publications

Research Interests

I work in Geometric Group Theory. I study infinite discrete groups via associated metric spaces, Riemannian manifolds, graphs and cell complexes, and I focus on geometric features such as curvature, the shapes of balls, and characteristics of discs spanning loops (this can be called soap-film geometry). The setting for much of my research to date has been the geometry of the word problem for groups — a meeting-point of algebra, algorithmic complexity, geometry, topology and formal languages. My work has also touched on graph theory and cryptography.

Research Themes

• Geometric Group Theory