Harry Richman

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I am a postdoc at the University of Washington. I am interested in problems in combinatorics, tropical geometry, and number theory. My mentor at UW is Farbod Shokrieh. I was on the job market in fall 2019.

I was recently a graduate student at the University of Michigan where my advisors were David Speyer and Jeff Lagarias. Before graduate school I studied math at MIT and the Math in Moscow program.

Contact

Teaching

Research

1. "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.


2. "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.


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. "The distribution of Weierstrass points on a tropical curve," submitted.
   arXiv:1809.07920.


5. "Derangements and the p-adic incomplete gamma function," coauthored with Andrew O'Desky, accepted for publication in the Transactions of the American Mathematical Society.
   arXiv:2012.04615. DOI: 10.1090/tran/7357.


6. "Counting tripods on the torus," coauthored with Jayadev S. Athreya and David Aulicino, submitted.
   arXiv:2111.01891.


7. "The tropical Manin-Mumford conjecture," submitted.
   arXiv:2112.00168.


8. "Floor quotient partial orders," coauthored with Jeffrey Lagarias, in preparation.


9. "Origami hexagon deformations and the flip graph," coauthored with Y. Liu, in preparation.

Notes and Presentations

• "Matchings in convergent graph sequences," March 2017 notes


• "Moduli space of tropical curves," June 2017 notes


• "Local Gauss-Lucas theorem," July 2017 slides


• "Dilated floor functions having nonnegative commutator," July 2017 poster slides AMS


• "Descartes' rule and beyond," September 2017 slides


• "Distribution of tropical Weierstrass points," September 2018 slides poster animation


• "Weierstrass points and torsion points on tropical curves" (Ph.D. thesis) slides.
  


• "Continuity over p-adic numbers," November 2021 slides


• "Derangements and p-adic incomplete gamma function," November 2021 slides


• "Uniform bounds on tropical torsion points," January 2022 slides poster

Links