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.