E-prints

The support by the National Science Foundation is greatly appreciated

• The Tits Alternative for Out(F_n) I: Dynamics of exponentially growing automorphisms with Mark Feighn and Michael Handel (Annals of Math. 151 (2000), 517-623)

• The Tits Alternative for Out(F_n) II: A Kolchin Theorem with Mark Feighn and Michael Handel

• Solvable subgroups of Out(F_n) are virtually abelian with Mark Feighn and Michael Handel

• The topology at infinity of Out(F_n) with Mark Feighn (Invent. Math. 140 (3) (2000) pp 651-692). For an online copy of the published paper through Springer Link go here

• R-trees in topology, geometry, and group theory survey paper about real trees

• Non-positively curved aspects of Artin groups of finite type Geometry and Topology 3 (1999), 269-302

• Van Kampen's embedding obstruction for discrete groups with Misha Kapovich and Bruce Kleiner (Invent. math. 150 (2002) 2, 219-235). For an online copy of the published paper through Springer Link go here

• Proper actions of lattices on contractible manifolds with Mark Feighn (Invent. math. 150 (2002) 2, 237-256). For an online copy of the published paper through Springer Link go here

• Bounded cohomology of subgroups of mapping class groups with Koji Fujiwara, Geometry and Topology 6 (2002), 69-89

• The topology of Out(F_n) survey paper about Out(F_n). There are also slides from a talk I gave

• Notes on Sela's work: Limit groups and Makanin-Razborov diagrams with Mark Feighn

• Counting maps from a surface to a graph with Mark Feighn

• Limit groups are CAT(0) with Emina Alibegovic

• Dimension of the Torelli group for Out(F_n) with Kai-Uwe Bux and Dan Margalit

• Quasi-homomorphisms on mapping class groups with Koji Fujiwara

• A characterization of higher rank symmetric spaces via bounded cohomology with Koji Fujiwara

• The asymptotic geometry of right-angled Artin groups, I with Bruce Kleiner and Michah Sageev

• The Dimension of the Torelli group with Kai-Uwe Bux and Dan Margalit

• Quasiflats in CAT(0) complexes with Bruce Kleiner and Michah Sageev

• PL Morse theory notes

• A hyperbolic Out(F_n)-complex with Mark Feighn

• Shearing coordinates and convexity of length functions on Teichmueller space with Ken Bromberg, Koji Fujiwara and Juan Souto

• Some groups of mapping classes not realized by diffeomorphisms with Tom Church and Juan Souto

• Asymmetry of Outer space with Yael Algom-Kfir

• A Bers-like proof of the existence of train tracks for free group automorphisms

• The asymptotic dimension of mapping class groups is finite with Ken Bromberg and Koji Fujiwara

• Geometry of Integral Binary Hermitian Forms with Gordan Savin

• Filling boundaries of coarse manifolds in semisimple and solvable arithmetic groups with Alex Eskin and Kevin Wortman

• Hyperbolicity of the complex of free factors with Mark Feighn

• Homological stability of Aut(F_n) revisited

• Outer Limits with Mark Feighn

• Construction of projection complexes, super short version with Ken Bromberg, Koji Fujiwara and Alessandro Sisto