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Research Interests

Generally speaking, my interests lie in the realm of geometric group theory and topological properties of infinite groups. Three specific areas of primary interest include the extended family of Thompson's groups, discrete Morse theory, and finiteness properties and Bieri-Neumann-Strebel-Renz invariants. Some other topics of interest include braid groups, groups of automorphisms of free groups, CAT(0) cube complexes, homological stability, and buildings.

My coauthors and collaborators:

Peter Abramenko
Sahana Balasubramanya
Eli Bashwinger
Jim Belk
Collin Bleak
Matt Brin
Kai-Uwe Bux
Martin Fluch
Francesco Fournier-Facio
Andy Heald
Judy Holdener
Martin Kassabov
Lee Kennard
Yash Lodha
Brendan Mallery
Marco Marschler
Francesco Matucci
Rob McEwen
Justin Tatch Moore
Mark Pearson
Lucas Sabalka
Eduard Schesler
Nick Scoville
Rachel Skipper
Rob Spahn
Marco Varisco
Stefan Witzel
I am supported by a Simons Collaboration Grant (award #635763, "Topological methods in geometric group theory," 2019-2024).