Joshua Mirth

Colorado State University

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 and of the Category Theory lab, as well as an attendee of the Pattern Analysis Lab and the Topology Seminar.


Papers

"On the nonlinear statistics of optical flow."
With Henry Adams, Johnathan Bush, Brittany Carr, and Lara Kassab.
To appear in Pattern Recognition Letters, special issue Topological Analysis and Recognition (2018+).
[Slides, Abstract]

"A fractal dimension for measures via persistent homology"
With Henry Adams, Manuchehr Aminian, Elin Farnell, Michael Kirby, Rachel Neville, Chris Peterson, and Clayton Shonkwiler.
Submitted September 2018.
[arXiv:1808.01079, Abstract]

"Metric Thickenings of Euclidean Submanifolds"
With Henry Adams.
Submitted December 2017
[arXiv:1709.02492, Abstract, Master's Thesis]