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 2021/22:

Term 1: Geometric Group Theory MA4H4

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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).
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), Comment. Math. Helv. 95 (2020), no. 4, 703-748.
Outer space for RAAGs (with C. Bregman and R. Charney), Duke Math J., to appear.

All publications