Harry Richman


I am interested in problems in tropical geometry (what's that??), phylogenetics, combinatorics, and number theory.

I am currently a postdoc at NCTS mentored by Liang-Chung Hsia. I previously held postdoc positions in the Matsen group, part of the Herbold Computational Biology Program at the Fred Hutch Cancer Center, and at the University of Washington where my mentor was Farbod Shokrieh. Before that I was a graduate student at the University of Michigan where my advisors were David Speyer and Jeff Lagarias. I was on the academic job market in fall 2019.

Before graduate school I studied math at MIT and the Math in Moscow program.

Contact

email: hrichman (аt) ncts (dot) ntu (dot) edu (dot) tw
hrichman (аt) alum (dot) mit (dot) edu
office: Room 402, Cosmology Building
address: 台北市 羅斯福路 4段 1號
台灣大學 次震宇宙館 503室
Room 503, Cosmology Building
National Taiwan University
No. 1, Sec. 4, Roosevelt Rd.
Taipei City 106, Taiwan (R.O.C.)
github: harryrichman

Teaching

Spring 2022: Math 208
Winter 2022: Math 208
Winter 2022: WXML Counting spanning trees
Autumn 2021: WXML Counting spanning trees
Summer 2021: MREG Rational Catalan combinatorics
Spring 2021: Math 308
Autumn 2020: Math 308 (linear algebra)
Winter 2019: Math 116, Origami on Lattices
Winter 2018: Math 116
Fall 2016: Math 215 (multivariable calculus)
Winter 2016: Math 116
Fall 2015: Math 216 (differential equations)
Winter 2015: Math 116 (calculus II)
Fall 2014: Math 115 (calculus I)

Research

My work can be found on arXiv, Google Scholar, MathSciNet, ORCID, and zbMATH.

Preprints

Published

  1. "Lower rational approximations and Farey staircases," Integers 24 (2024), paper A37.
    arXiv:2303.02935. DOI:10.5281/zenodo.10944039. journal version:link.
  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 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. "The tropical Manin-Mumford conjecture," International Mathematics Research Notices 2023.21 (2023), pp. 18714-18751.
    arXiv:2112.00168. DOI:10.1093/imrn/rnad098.
  5. "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.
  6. "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.
  7. "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.
  8. "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.
  9. "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.

Ph.D. thesis

  1. "Weierstrass points and torsion points on tropical curves."
    official version: link (local link)

Notes and Presentations


Links


Analysis quals
Rubik's cube
Quotes about math
Origami simulator built by Amanda Ghassaei
Multiline formulas guidelines provided by Acta Arithmetica
Math Subject Classification browse and search, resource from zbMATH
OEIS Online Encyclopedia of Integer Sequences
FindStat database and search engine for combinatorial statistics and maps
Eugenia Cheng on the lecture system
Why should I do math? Reasons by Tao Lin (43., 35., 31., 10., 28., 8., 11., 14., 41., 26., 21., 18.)