Publications

My Google Scholar page.

Preprints

  • Topological feature selection for time series data. With Peter Bubenik.
  • 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 (2023).

Research papers

  • The topology of projective codes and the distribution of zeros of odd maps. With Henry Adams and Florian Frick. Accepted to appear in the Michigan Math Journal (2023).
  • 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). 
  • 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).
  • 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).
  • Metric thickenings, Borsuk–Ulam theorems, and orbitopes. With Henry Adams and Florian Frick. Mathematika 66:79-102 (2020).
  • A torus model for optical flow. With Henry Adams, Brittany Carr, Lara Kassab, and Joshua Mirth. Pattern Recognition Letters 129:304-310 (2020).

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).

Other

  • Topological, Geometric, and Combinatorial Aspects of Metric Thickenings. PhD dissertation (2021).