芮天松（Harry Richman）助理教授

聯絡方式

• Email: hrichman@nycu.edu.tw
• 電話: (03)5712121 分機56494
• 傳真: (03)5724679
• 地址: 新竹市大學路1001號 陽明交通大學 應用數學系
• 相關網站: https://harryrichman.github.io/  

近兩學期教授課程

• 115 學年度第一學期：
  • 微積分甲(一)


• 114 學年度第二學期：

履歷

• 學歷
  • 密西根大學，博士，2014-2020
  • 莫斯科獨立大學，海外學習項目，2013-2014
  • 麻省理工學院，學士，2009-2013
• 學術專長暨研究領域
  • 組合數學、熱帶幾何、數論、系統發育
• 學術經歷與榮譽
  國立陽明交通大學，應用數學系助理教授，2026年至今
  國家理論科學研究中心，數學部博士後研究員，2024-2026年
  弗雷德·哈欽森癌症中心，赫博德計算生物學計畫馬岑研究小組博士後研究員，2023-2024年
  華盛頓大學，數學系博士後研究員，2020-2022年

研究趣向

組合數學、熱帶幾何、數論、系統發育

著作選集

(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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