Professor of Mathematics
Teaching Responsibilities 2022/23:
Term 1: Geometric Group Theory MA4H4
Moduli spaces of graphs and CAT(0) structures, and connections of these with other areas of mathematics, physics and biology.
The Euler characteristic of the moduli space of graphs (with M. Borinsky), Adv. Math., to appear. Quanta magazine article about this paper.
Outer space for RAAGs (with C. Bregman and R. Charney), Duke Math J., to appear.
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.