Karen Vogtmann Professor of Mathematics CV Office: C2.05 Phone: +44 (0)2476 523739 Email: K dot Vogtmann at warwick dot ac dot uk

Teaching Responsibilities 2017/18:
Term 2: MA4J7 Cohomology and Poincare Duality

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

Research Interests:
Geometric group theory, low-dimensional topology, cohomology of groups

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.