Publications

Published Articles

J. Yang, H. Fang, J. Dhesi, H. Yoon, J. Bull, H. Byrne, H. Harrington, G. Grindstaff “Topological classification of tumour-immune interactions and dynamics” Journal of Mathematical Biology 91, 25 (2025)

I. Yoon, G. Henselman, Y. Yu, R. Ghrist, S. Smith, C. Giusti “Tracking the Topology of Neural Manifolds across populations” Proceedings of the National Academy of Sciences Volume: 121, Issue: 46 (2024)

B. Stolz, J. Dhesi, J. Bull, H. Harrington, H. Byrne, H. Yoon “Relational Persistent Homology for Multispecies Data with Application to the Tumor Microenvironment” in Bulletin of Mathematical Biology vol 86 (2024)

H. Yoon, R. Ghrist, C. Giusti “Persistent Extensions and Analogous Bars: Data-induced Matchings Between Persistence Barcodes” in Journal of Applied and Computational Topology 7, 571-617 (2023)

H. Yoon, A. Coria, A. Laederach, and C. Heitsch “Towards an Understanding of RNA Structural Modalities: a Riboswitch Case Study” in Computational and Mathematical Biophysics vol. 7, no.1, pp.48-63 (2019)

H. Yoon “Cellular Shaves and Cosheaves for Distributed Topological Data Analysis” PhD thesis. University of Pennsylvania (2018)

L. Taalman, A. Tongen, B. Warren, F. Wyrick-Flax, and I. Yoon “Mancala Matrices”, in College Mathematics Journal 44(4):273-283. (2013)

Preprints

M. Torras-Perez, I. Yoon, P. Weeratunga, L.P. Ho, H. Byrne, U. Tillman, H. Harrington “Topology across scales on heterogeneous cell data” arxiv:2505.02717 (2025)

I. Yoon “Dowker duality, profunctors, and spectral sequences” arxiv:2408.13136 (2024)

H. Yoon, R. Jenkins, X. Fu, H. Zhang, A. Rullan, D. Moore, Y. Yuan, C. Swanton, H. Harrington, H. Byrne, E. Sahai “Deciphering the diversity and sequence of extracellular matrix and cellular spatial patterns in lung adenocarcinoma using topological data analysis” (2024)

A. Barbensi, H. Yoon, C. Madsen, D. Ajayi, M. Stumpf, H. Harrington “Hypergraphs for Multiscale Cycles in Structured Data” (2022)

H. Yoon and R. Ghrist “Persistence by Parts: Multiscale Feature Detection via Distributed Persistent Homology” arXiv:2001.01623 (2020)