Broadly, I am interested in geometric topology and geometric group theory. Some specific groups I study are mapping class groups of surfaces and the related handlebody groups, groups related to Artin groups, and non-positively curved groups in varying flavors (e.g. hierarchically hyperbolic groups, relatively hyperbolic groups, acylindrically hyperbolic groups, stable subgroups, etc.).Â
"(Non)-recognizing spaces for stable subgroups," with Sahana Balasubramanya, Alice Kerr, Johanna Mangahas, and Marie Trin, accepted to Proceedings of the AMS.
"Purely pseudo-Anosov subgroups of the genus two handlebody group," with Chris Leininger, published online first at Groups, Geometry, and Dynamics.
"Stable subgroups of the genus two handlebody group," published in Algebraic & Geometric Topology.
(* indicates undergraduate co-author)
"The Edge-Distinguishing Game," with Nathaniel Benjamin, Elisa Benthem*, Cooper Burkel*, Mike Janssen, preprint.
Presenting at the (online) 2020 Topology Student Workshop (photo courtesy of Dan Margalit)