Research

In Preparation

• H. Jordan. “Disjoint gluings of fiber bundles”.
• H. Jordan. “Categories of stratified spaces”.
• M. Pflaum, G. Rudolph, and H. Jordan. “Parallel transport along density matrices in infinite dimensions”.

Publications & Preprints

2025

• H. Jordan. “Gluings and Stratifications of Bundles and Infinite-Dimensional Spaces” (PhD Thesis).

2024

• H. Jordan, E. El Sai, S. Graham-Howard, P. Pillans, T. Sesnic, and M. J. Pflaum. “Challenges in the mathematical description of energy landscapes”. Journal of Innovative Materials in Extreme Conditions 5 (2).

2021

• J. Mirth, Y. Zhai, J. Bush, E. G. Alvarado, H. Jordan, M. Heim, B. Krishnamoorthy, M. Pflaum, A. Clark, Y. Z., and H. Adams. “Representations of energy landscapes by sublevelset persistent homology - An example with n-alkanes”. The Journal of Chemical Physics 154. DOI: 10.1063/5.0036747.

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Selected Talks

“Conjunctive Decompositions and Gluing Bundles”

• MAA Rocky Mountain Section Meeting (April 2025)

“Stratification of the state space of a C*-algebra”

• AMS Spring Western Sectional Meeting (May 2024)

“Artin gluing of fiber bundles”

• BLAST Conference (April 2024)