## 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.