My research is in applied topology. In particular, I am interested in the structure of Vietoris–Rips simplicial complexes, discrete Morse theory, and persistent homology.
I am co-organizer of the Greenslopes seminar at Colorado State University.
"A fractal dimension for measures via persistent homology" With Henry Adams, Manuchehr Aminian, Elin Farnell, Michael Kirby, Rachel Neville, Chris Peterson, Patrick Shipman, and Clayton Shonkwiler. [arXiv:1808.01079, Abstract]