Preprints

Topological feature selection for time series data. With Peter Bubenik (2025+). 

arXiv:2310.17494

Gromov–Hausdorff distances, Borsuk–Ulam theorems, and Vietoris–Rips complexes. With Henry Adams, Nate Clause, Florian Frick, Mario Gómez, Michael Harrison, R. Amzi Jeffs, Evgeniya Lagoda, Sunhyuk Lim, Facundo Mómoli, Michael Moy, Nikola Sadovek, Matt Superdock, Daniel Vargas, Qingsong Wang, and Ling Zhou (2025+).

arXiv:2301.00246

Research papers

The connectivity of Vietoris-Rips complexes of spheres. With Henry Adams and Žiga Virk. Journal of Applied and Computational Topology 9.2: 15. (2025).

Publisher link. arXiv:2407.15818

The topology of projective codes and the distribution of zeros of odd maps. With Henry Adams and Florian Frick. Michigan Mathematics Journal 74 (4) 775 - 796 (2024).

Publisher link. arXiv:2106.14677

Toroidal Coordinates: Decorrelating Circular Coordinates With Lattice Reduction. With Luis Scoccola, Hitesh Gakhar, Nikolas Schonsheck, Tatum Rask, Ling Zhou, and Jose A. Perea. 39th International Symposium on Computational Geometry (SoCG) (2023). 

Publisher link. arXiv:2212.07201

Representations of energy landscapes by sublevelset persistent homology: An example with n-alkanes. With Joshua Mirth, Yanqin Zhai, Enrique G Alvarado, Howie Jordan, Mark Heim, Bala Krishnamoorthy, Markus Pflaum, Aurora Clark, Y Z, and Henry Adams. Journal of Chemical Physics 154, 114114 (2021).

Publisher link. arXiv:2011.00918

Operations on metric thickenings. With Henry Adams and Joshua Mirth. Proceedings of Applied Category Theory Conference, Electronic Proceedings in Theoretical Computer Science 328:1-15 (2020).

Publisher link. arXiv:2101.10489

Metric thickenings, Borsuk–Ulam theorems, and orbitopes. With Henry Adams and Florian Frick. Mathematika 66:79-102 (2020).

Publisher link. arXiv:1907.06276

A torus model for optical flow. With Henry Adams, Brittany Carr, Lara Kassab, and Joshua Mirth. Pattern Recognition Letters 129:304-310 (2020).

Publisher link. arXiv:1812.00875

Book chapters

Topological Data Analysis. With Henry Adams and Joshua Mirth. In Data Science for Mathematicians, edited by Nathan Carter, Chapman & Hall/CRC, New York, (2020).

Publisher link. Supplementary material