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Research Interests
Research Interests
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
Papers
Papers
"When loxodromics are pseudo-Anosovs on witnesses", preprint.
"Stable subgroups of graph products" with Sahana Balasubramanya, Alice Kerr, Johanna Mangahas, and Marie Trin, preprint.
"(Non)-recognizing spaces for stable subgroups," with Sahana Balasubramanya, Alice Kerr, Johanna Mangahas, and Marie Trin, published in 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.
Works with undergraduate co-authors
Works with undergraduate co-authors
(* indicates undergraduate co-author)
"The Edge-Distinguishing Game," with Nathaniel Benjamin, Elisa Benthem*, Cooper Burkel*, Mike Janssen, accepted in Communications on Number Theory and Combinatorial Theory.
Presenting at the (online) 2020 Topology Student Workshop (photo courtesy of Dan Margalit)
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