Colorado State University

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Publications

• On Vietoris-Rips complexes of hypercube graphsWith Michal AdamaszekJournal of Applied and Computational Topology 6, 177-192, 2022
• Representations of energy landscapes by sublevelset persistent homology: An example with n-alkanes With Joshua Mirth, Yanqin Zhai, Johnathan Bush, Enrique G Alvarado, Howie Jordan, Mark Heim, Bala Krishnamoorthy, Markus Pflaum, Aurora Clark, and Y ZJournal of Chemical Physics 154, 114114, 2021
• Metric thickenings and group actions With Mark Heim and Chris PetersonJournal of Topology and Analysis 14, 587-613, 2022
• Metric thickenings, Borsuk-Ulam theorems, and orbitopes With Johnathan Bush and Florian Frick Mathematika 66, 79-102, 2020
• On homotopy types of Vietoris-Rips complexes of metric gluings With Michal Adamaszek, Ellen Gasparovic, Maria Gommel, Emilie Purvine, Radmila Sazdanovic, Bei Wang, Yusu Wang, and Lori Ziegelmeier Journal of Applied and Computational Topology 4, 425-454, 2020
• Multidimensional scaling on metric measure spaces With Mark Blumstein and Lara Kassab Rocky Mountain Journal of Mathematics 50, 397-413, 2020
• Metric reconstruction via optimal transport With Michal Adamaszek and Florian Frick SIAM Journal on Applied Algebra and Geometry 2, 597-619, 2018
• Persistence images: A stable vector representation of persistent homology With Sofya Chepushtanova, Tegan Emerson, Eric Hanson, Michael Kirby, Francis Motta, Rachel Neville, Chris Peterson, Patrick Shipman, and Lori Ziegelmeier Journal of Machine Learning Research 18, Number 8, 1-35, 2017
• The Vietoris-Rips complexes of a circle With Michal Adamaszek Pacific Journal of Mathematics 290, 1-40, 2017
• Nerve complexes of circular arcs With Michal Adamaszek, Florian Frick, Chris Peterson, and Corrine Previte-Johnson Discrete & Computational Geometry 56, 251-273, 2016