# Professor Karen Vogtmann

## Karen VogtmannProfessor of Mathematics |

**Teaching Responsibilities 2019/20:****
**TCC Term 2 Introduction to graph homology

2017/18 Warwick Symposium on geometry, topology and dynamics in low dimensions

**Research Interests:
**Moduli spaces of graphs and CAT(0) structures, and connections of these with other areas of mathematics, physics and biology.

**Selected publications: **

**Moduli of graphs and automorphisms of free groups (with M. Culler), Inventionnes 84 (1986), 91–119.
Geometry of the space of phylogenetic trees (with L. J. Billera and S. Holmes), Advances in Applied Math 27 (2001), 733–767.
On a theorem of Kontsevich (with J. Conant), Algebr. Geom. Topol. 3 (2003), 1167–1224.
The cohomology of automorphism groups of free groups, Proceedings of the I.C.M. Madrid II (2006), 1101–1119.
Automorphisms of two-dimensional right-angled Artin groups (with R. Charney), Geometry & Topology 11 (2007), 2227–2264.
Actions of automorphism groups of free groups on spheres and acyclic manifolds (with Martin Bridson), Commentarii Math. Helv. 86 no. 1 (2011).
Abelian covers of graphs and maps between outer automorphisms of free groups (with M. R.. Bridson), Math. Ann. 353 no. 4 (2012), 1069–1102.
Assembling homology classes in automorphism groups of free groups (with J.Conant, A.Hatcher and M.Kassabov), Commentarii Math. Helv. 91 (2016), 751-806.**