Embedded Files
I am interested in algebraic combinatorics and its connections to commutative algebra, geometry, and representation theory. Currently, some of my favorite topics to think about include
toric posets and toric graphic hyperplane arrangements,
tableaux and their promotion orbits, and
webs and their connections to cluster algebras, dimer combinatorics, and Springer fibers.
Preprints
Twists, r-dimer covers, and web duality with Esther Banaian, Christian Gaetz, Miranda Moore, Gregg Musiker, and Kayla Wright. Submitted.
Extended abstract accepted as a poster at FPSAC 2025.
Identifying Orbit Lengths for Promotion with Jack Kendrick, Heather Russell, and Julianna Tymoczko. Submitted.
Extended abstract accepted as a poster at FPSAC 2025.
A Toric Analogue for Greene's Rational Function of a Poset. Submitted.
Extended abstract accepted as a poster at FPSAC 2025.
Dihedral Linking Invariants with Patricia Cahn, Sara Chimgee, Olivia Del Guercio, and Jack Kendrick. Submitted.
In Preparation
Promotion of Non-rectangular Tableaux Using Webs with Jesse Kim and Stephan Pfannerer.
UMN Combinatorics and Algebra REU
In summer 2024, I was a TA for Kayla Wright's REU research problem, A Mixed Dimer Model for Exceptional Type Quiver Representations and Cluster Algebras.
Inspired by the Dunkin' Donuts slogan and by Dynkin diagrams, I made shirts for my REU group that have on the front: "America Runs on..." and on the back: picture of the ADE Dynkin diagrams.
Page updated
Report abuse