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

MA4J7 Cohomology and Poincare Duality

Teaching Responsibilities 2020/21:

Term 1: Cohomology and Poincare Duality

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Conference announcement:
The conference Artin groups, CAT(0) geometry and drelated topics, a conference in honor of Ruth Charney has been rescheduled to July 5-9, 2021

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), Inventiones 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.
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.
Outer space for untwisted automorphisms of right-angled Artin groups (with R. Charney and N. Stambaugh), Geom. Topol 21 (2017), no 2, 1131-1178.
The Euler characteristic of Out(F_n) (with M. Borinsky), to appear in Commentarii Math. Helv.

All publications