Biography

My name is Nate Fisher, and I am a Van Vleck Visiting Assistant Professor (postdoc) at the University of Wisconsin-Madison. I’m interested in geometric group theory, metric geometry, and geometric topology.

In particular, the main part of PhD thesis examined nilpotent groups, integrating ideas from sub-Riemannian geometry to better understand the geometry of finitely generated nilpotent groups. I am studying horofunction boundaries in nilpotent and other groups and aim to apply this boundary theory to examine the dynamics of group actions and random walks.

I am also interested in Teichmüller theory, the geometry of mapping class groups, infinite-type surfaces, and translation surfaces.

My PhD adviser was Moon Duchin.