Assistant Professor Harry Richman

Contact

• Email: hrichman@nycu.edu.tw
• Tel: +886-3-571-2121 ext.56446
• Fax: +886-3-572-4679
• Address: Department of Applied Mathematics National Yang Ming Chiao Tung University 1001, Ta Hsueh Road, Hsinchu 30050, Taiwan
• Site: https://harryrichman.github.io/  

Teaching

• Fall Semester, 2026：
  • Calculus A (I)
• Spring Semester, 2026：

Vitae

• Education
  • University of Michigan, Ph.D. 2014 – 2020
  • Independent University of Moscow, Study Abroad Program 2013 – 2014
  • Massachusetts Institute of Technology, S.B. 2009 – 2013
• Research Areas
  • 組合數學、熱帶幾何、數論、系統發育
• Positions, Honors and Awards
  National Yang Ming Chiao Tung University, Hsinchu, Taiwan
  Assistant Professor, Department of Applied Mathematics 2026 – present
  National Center for Theoretical Sciences, Taipei, Taiwan
  Postdoctoral Fellow, Division of Mathematics 2024 – 2026
  Fred Hutchinson Cancer Center, Seattle, WA
  Postdoctoral Fellow, Matsen Group, Herbold Computational Biology Program 2023 – 2024
  University ofWashington, Seattle, WA
  Postdoctoral Scholar, Department of Mathematics 2020 – 2022

Others

Combinatorial mathematics, Tropical geometry, Number theory, Phylogenetics

Selected Publications

(A)   Refereed Papers：

Tropical Geometry

1. "Tropical Weierstrass points and Weierstrass weights," coauthored with Omid Amini and Lucas Gierczak, Journal of the European Mathematical Society (JEMS), published online first. arXiv:2303.07729. DOI:10.4171/jems/1792.
2. "The distribution of Weierstrass points on a tropical curve," Selecta Mathematica 30 (2024). arXiv:1809.07920. DOI:10.1007/s00029-024-00919-5.
3. "The tropical Manin-Mumford conjecture," International Mathematics Research Notices (IMRN) 2023.21 (2023), pp. 18714-18751. arXiv:2112.00168. DOI:10.1093/imrn/rnad098.
4. "Weierstrass points and torsion points on tropical curves." (Ph.D. thesis）official version: link (local link)


Graph Theory

1. "On determinants of resistance matrices," coauthored with Farbod Shokrieh and Chenxi Wu, submitted. arXiv:2606.21902
2. "Principal minors of tree distance matrices," coauthored with Farbod Shokrieh and Chenxi Wu, submitted. arXiv:2411.11488
3. "Counting two-forests and random cut size via potential theory," coauthored with Farbod Shokrieh and Chenxi Wu, accepted to Annales de l'Institut Henri Poincaré B. arXiv:2308.03859. journal:link
4. "A Ricci flow on graphs from effective resistance," coauthored with A. Dawkins, V. Gupta, M. Kempton, W. Linz, J. Quail, and Z. Stier, J. Combinatorics 16.4 (2025), pp. 553-573. arXiv:2403.01151. DOI:10.4310/JOC.250923002737.
5. "Node resistance curvature in Cartesian graph products," coauthored with A. Dawkins, V. Gupta, M. Kempton, W. Linz, J. Quail, and Z. Stier, J. Combinatorics 16.4 (2025) pp. 575-589. arXiv:2403.01037. DOI:10.4310/JOC.250923003413.

Phylogenetics

1. "Unifying phylogenetic traversal and deep learning to guide tree exploration," with Lena Collienne (first author), David H. Rich, Mary Barker, Chris Jennings-Shaffer, and Erick Matsen, submitted. bioRxiv:10.64898/2026.01.14.699358 github:code 
2. "Vector encoding of phylogenetic trees by ordered leaf attachment," coauthored with Frederick Matsen and Cheng Zhang, Bulletin of Mathematical Biology 88 (2026), article 58. arxiv:2503.10169. DOI:10.1007/s11538-026-01611-9. github:code
3. ICLR 2025, with Tianyu Xie (first author), Jiansi Gao, Frederick A. Matsen IV, Cheng Zhang, "PhyloVAE: Unsupervised Learning of Phylogenetic Trees via Variational Autoencoders." arxiv:2502.04730. conference:link. github:code

Number Theory

1. "The Möbius function of the poset of triangular numbers under divisibility," coauthored with Rohan Pandey, submitted. arXiv:2402.07934
2. "The family of a-floor quotient partial orders," coauthored with Jeffrey Lagarias, in Proceedings of Combinatorial and Additive Number Theory VI (2025), pp. 283-318. arXiv:2403.04342. DOI:10.1007/978-3-031-65064-2_15.
3. "The floor quotient partial order," coauthored with Jeffrey Lagarias, Advances in Applied Mathematics 153 (2024). arXiv:2212.11689. DOI:10.1016/j.aam.2023.102615. 
4. "Derangements and the p-adic incomplete gamma function," coauthored with Andrew O'Desky, Transactions of the American Mathematical Society 376 (2023), pp. 1065-1087. arXiv:2012.04615. DOI:10.1090/tran/8716.

Miscellaneous

1. "Lower rational approximations and Farey staircases," Integers 24 (2024), paper A37. arXiv:2303.02935. DOI:10.5281/zenodo.10944039. journal version:link.
2. "Counting tripods on the torus," coauthored with Jayadev S. Athreya and David Aulicino, Arnold Mathematical Journal 9 (2023), pp. 359-379. arXiv:2111.01891. DOI:10.1007/s40598-022-00216-z.
3. "Dilated floor functions having nonnegative commutator II. Negative dilations," coauthored with Jeffrey Lagarias, Acta Arithmetica 196.2 (2020), pp. 163-186. arXiv:1907.09641. DOI:10.4064/aa190628-14-1.
4. "Dilated floor functions having nonnegative commutator I. Positive and mixed sign dilations," coauthored with Jeffrey Lagarias, Acta Arithmetica 187.3 (2019), pp. 271-299. arXiv:1806.00579. DOI:10.4064/aa180602-21-9.
5. "Dilated floor functions that commute," coauthored with J. C. Lagarias and T. Murayama, American Math. Monthly 123.10 (2016), pp. 1033-1038. arXiv:1611.05513. DOI:10.4169/amer.math.monthly.123.10.1033.

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