Thomas Koberda

LG&TBQ2: Geometry, Topology, and Dynamics is a sequel to the conference LG&TBQ organized in 2019 at the University of Michigan. In addition to the plenary lectures, we will have contributed talks in three parallel sessions. There will also be a...

I will give a survey of results concerning the actions of a mapping class on the homology of various finite covers to which it lifts. I will draw connections to 3-manifold theory, especially largeness, growth of torsion homology and Alexander...

We discuss a result which shows that every right-angled Artin group quasi-isometrically embeds in a planar pure braid group. As a consequence, we obtain examples of quasi-isometrically embedded closed hyperbolic manifold subgroups of pure braid...

There is a rich interplay between the degree of regularity of a group action on the circle and the allowable algebraic structure of the group. I will outline some highlights of this theory, culminating in a construction due to Kim and myself of...