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

On study leave for 2024/25 academic year.

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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:

The Euler characteristic of the moduli space of graphs (with M. Borinsky), Adv. Math. 432 (2023),Paper No. 109290, 58pp.Quanta magazine article about this paper.
Outer space for RAAGs (with C. Bregman and R. Charney), Duke Math J. 173 (2023), no. 6, 1033-1108.
Assembling homology classes in automorphism groups of free groups (with J.Conant, A.Hatcher and M.Kassabov), Commentarii Math. Helv. 91 (2016), 751-806.
The cohomology of automorphism groups of free groups, Proceedings of the I.C.M. Madrid II (2006), 1101–1119.
On a theorem of Kontsevich (with J. Conant), Algebr. Geom. Topol. 3 (2003), 1167–1224.
Geometry of the space of phylogenetic trees (with L. J. Billera and S. Holmes), Advances in Applied Math 27 (2001), 733–767.
Moduli of graphs and automorphisms of free groups (with M. Culler), Inventiones 84 (1986), 91–119.

All publications