Professor Karen Vogtmann, FRS
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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.
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鈥�1119.
On a theorem of Kontsevich (with J. Conant), Algebr. Geom. Topol. 3 (2003), 1167鈥�1224.
Geometry of the space of phylogenetic trees (with L. J. Billera and S. Holmes), Advances in Applied Math 27 (2001), 733鈥�767.
Moduli of graphs and automorphisms of free groups (with M. Culler), Inventiones 84 (1986), 91鈥�119.