Lawrence Reeves
Phone: |
8344 6764 |
Lecturing:
2011
Semester 1 |
Semester 2 |
| MAST10007 Linear Algebra | MAST10007 Linear Algbebra |
| MAST30005 Algebra |
2010
Semester 1 |
Semester 2 |
| MAST30005 Algebra | MAST10007 Linear Algbebra |
| MAST90055 Geometric Group Theory |
2009
Semester 1 |
Semester 2 |
| 620-636 Commutative Algebra | 620-156 Linear Algbebra |
| 620-321 Algebra |
Postgraduate Supervision:
I supervise four PhD candidates:
| Maurice Chiodo | |
| Nick Davis | |
| Nick Kotros | |
| Tharatorn Supasiti |
I supervise one MSc RT student:
Tom Lanigan
Research:
My research concentrates on geometric group theory.
In particular, I'm intereseted in automatic groups, hyperboic groups,
CAT(0) groups and the relationships between these various classes.
Papers:
- Geometric structures on certain virtual knot groups
(with I. Aitchison)
- On the genus of infinite groups
(with I. Aitchison)
- Non-automaticity of certain free-by-cyclic groups
(with M. Bridson) - On the algorithmic construction of classifying spaces and the isomorphism problem for biautomatic groups
(with M. Bridson)
- A combination theorem for strong relative hyperbolicity
(with M. Mj)
Geometry and Topology, 12 (2008), no. 3, 1777-1798. - Uniform non-amenability
(with G.N. Arzhantseva, J Burillo, M. Lustig, H. Short, E. Ventura),
Adv. Math. 197 (2005), no. 2, 499-522. - Coxeter groups act on CAT(0) cube complexes
(with G.A. Niblo)
J. Group Theory 6 (2003), no. 3, 399-413. - On Archimedean link complements
(with I.R. Aitchison)
Journal of Knot Theory and Its Ramifications, Vol. 11, No. 6 (2002) 833-868 - The geometry of cube complexes and the complexity of their fundamental groups
(with G.A. Niblo)
Topology, 37 (1998), no. 3, 621–633 - Groups acting on CAT(0) cube complexes
(with G.A. Niblo)
Geometry and Topology, Vol. 1 (1997), 1–7. - Central extensions of hyperbolic groups
(with W.D. Neumann)
Annals of Math., vol. 145 (1997), no. 1, 183–192. - Regular cocycles and biautomatic structures
(with W.D. Neumann)
Internat. J. Algebra Comput., 6(1996), no. 3, 313–324. - Rational subgroups of cubed 3-manifold groups
Michigan Math. J., 42 (1995), no. 1, 109–126.