# Andrew Putman

*Notre Dame Professor of Topology*

## Education

Ph.D in Mathematics, University of Chicago. 2007

B.A. in Mathematics, Rice University. 2002

## Research Groups

Algebra and Algebraic Geometry, Topology

## Research Area

Geometry, Topology, Group Theory, and Representation Theory

## Bio

#### Research Statement:

My research focuses on geometric and topological properties of infinite groups. I am particularly interested in mapping class groups of surfaces, automorphism groups of free groups, and lattices in semisimple Lie groups. These groups lie at the juncture of a tremendous number of different areas of research and can be studied using a wide range of tools. My past work has used ideas and techniques from geometric group theory, algebraic topology, hyperbolic geometry, combinatorial group theory, number theory, algebraic geometry, and representation theory.

#### Selected Publications

- T. Church, M. Ershov, A. Putman On finite generation of the Johnson filtrations to appear in J. Eur. Math. Soc.
- N. Fullarton, A. Putman The high-dimensional cohomology of the moduli space of curves with level structures J. Eur. Math. Soc. 22 (2020), no. 4, 1261-1287.
- J. Malestein, A. Putman Simple closed curves, finite covers of surfaces, and power subgroups of Out(Fn) Duke Math. J. 168 (2019), no. 14, 2701-2726.
- A. Putman, S. Sam Representation stability and finite linear groups Duke Math. J. 166 (2017), no. 13, 2521-2598.
- A. Putman Stability in the homology of congruence subgroups Invent. Math. 202 (2015), no. 3, 987-1027.
- T. Brendle, D. Margalit, A. Putman Generators for the hyperelliptic Torelli group and the kernel of the Burau representation at t=-1 Invent. Math. 200 (2015), no. 1, 263-310.

**Email:** andyp@nd.edu

**Fax:** 574-631-6579

**Office:** 164 Hurley Hall