## Department Colloquium

### Friday, January 18th, 2019

**Time:** 2:30 p.m. **Place:** Jeffery Hall 234

**Speaker:** Lee Mosher (Rutgers University)

**Title:** The automorphism group of a rank 2 free group, and other matters.

**Abstract: ** As a lead up to discussing current research into the geometry of the automorphism and outer automorphisms groups of finite rank free groups, I’ll examine in some detail the geometry of the automorphism group of a rank 2 free group.

**Professor Lee Mosher** completed his PhD in Princeton in 1983 under the direction of Bill Thurston. He then went on to Harvard, and was a member of the IAS, before accepting a position at Rutgers University, where he is now a Distinguished Professor. Although trained as a topologist, Prof.~Mosher's broad research interests also cover geometry, geometric group theory and dynamical systems. His work has been published in the top mathematical journals, including Annals of Mathematics, Acta Mathematica and Inventiones, and has been continuously supported by the NSF since 1990.