Camille Horbez

University of Utah

Department of Mathematics, JWB108

155 S 1400 E RM 233

Salt Lake City, UT, 84112-0090

USA

Email:
horbez@math.utah.edu
(Internet)

Tel: +1 801 58

FAX: +1 801 581 4148

I am currently a post-doc at the University of Utah. Here is a CV.

- A compactification of outer space which is an absolute retract, with M. Bestvina, arXiv:1512.02893
- Central limit theorems for mapping class groups and Out(F_N), arXiv:1506.07244
- Spectral theorems for random walks on mapping class groups and Out(F_N), with F. Dahmani, arXiv:1506.06790
- The Tits alternative for the automorphism group of a free product, arXiv:1408.0546
- The boundary of the outer space of a free product, arXiv:1408.0543

- Hyperbolic graphs for free products, and the Gromov boundary of the graph of cyclic splittings, to appear in J. Topol. [arXiv version]
- The horoboundary of outer space, and growth under random automorphisms, to appear in Ann. Scient. Ec. Norm. Sup. [arXiv version]
- Spectral rigidity for primitive elements of F_N, to appear in J. Group Theory [arXiv version]
- The Poisson boundary of Out(F_N), to appear in Duke Math. J. [arXiv version]
- The hyperbolicity of the sphere complex via surgery paths, with A.Hilion, to appear in J. Reine Angew. Math. [paper, arXiv version]
- A short proof of Handel and Mosher's alternative for subgroups of Out(F_N), to appear in Groups Geom. Dyn. [arXiv version]

- Automorphisms of graphs of cyclic splittings of F_N, with R.D. Wade, Geom. Dedic. 178(1) (2015), 171-187 [paper, arXiv version]
- Sphere paths in outer space, Alg. Geom. Topol. 12(4) (2012), 2493-2517. [paper, arXiv version]

- My thesis: Random walks on Out(F_N) and automorphism groups of free products

- Growth under random products of automorphisms of a free group, talk given at the CIRM during the conference "Impact of geometric group theory" (07/14/2015)
- Horoboundary of outer space and growth under random automorphisms, talk given at the University of Notre-Dame during the conference "Boundaries and Ergodic Geometry" (06/01/2015).
- The Tits alternative for the automorphism group of a free product, talk given at the University of Illinois at Urbana-Champaign (02/19/2015).