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:
Justin Tatch Moore
I am supported by a Simons Collaboration Grant (award #635763, "Topological methods in geometric group theory," 2019-2024).