Research | John Hunn Smith

Colin Albert, Olivia Beckwith, Irfan Demetoglu, Robert Dicks, John H. Smith and Jasmine Wang, “Integer Partitions with Large Dyson Rank.” Journal of the Ramanujan Mathematical Society, Mar. 2023. [ArXiv]

Computing periods of rational integrals: UW Algorithms and Complexity Reading Group, July 2025. (Blackboard)
Coefficient positivity and analytic combinatorics: UW Algebraic and Enumerative Combinatorics Seminar, October 2024. [Pre-Seminar Slides] [Seminar Slides]
Computing asymptotic-guaranteeing index for multivariate generating functions using ACSV: UIUC ECE Virtual Research Symposium , May 2024. (Senior Thesis Presentation) [Slides]

ACSV Coefficient Positivity: Completed work set out in senior thesis. Attempting to generalize the methods presented there to derive eventual-positivity for large class of multivariate rational functions using an ACSV-based ‘uniformity over directions’ approach. Pre-print: Coming soon! (EOY 2025)
Periods of Rational Integrals: Currently porting Pierre Lairez's reduction algorithm for computing annihilating ODEs for integrals of rational functions to Sage. The only existent implementation is written in Magma, which is closed-source and requires a paid license. We also investigate the possibility of achieving faster computation by using MSolve as our backend for polynomial system solving, as well as applying our implementation to derive new differential equations representing integrals arising in combinatorics and physics. This project will be completed in fulfillment of our Master’s Thesis. Code v1:Coming soon! (Early 2026)

I regularly attend the following:

I was present at the following:

Effective Computation of Asymptotic Positivity-Guaranteeing Index Using ACSV: UIUC ECE Senior Thesis, advised by Yuliy Baryshnikov, May 2024. [ PDF ]

Here are the LaTeX macros I use for everything. This is a modified version of a stylesheet originally created by Jeff Erickson.