Research

I am interested in the intersection of algebraic combinatorics with representation theory, algebraic topology, algebraic geometry and probability.

Papers and related talks

Configuration spaces and peak representations (manuscript available upon request)

With Marcelo Aguiar and Vic Reiner

an extended abstract on this paper has been accepted to the FPSAC 2024 proceedings
Slides from a 50 minute talk on this paper

Crystal skeletons and their axioms (manuscript in preparation)

With Sylvie Corteel, Zajj Daugherty, and Anne Schilling

The k-random-to-random family in the Hecke algebra (manuscript in preparation)

With Patty Commins, Darij Grinberg, and Franco Saliola

With Ilani Axelrod-Freed, Judy Chiang, Patty Commins, and Veronica Lang

Wondertopes, submitted.

With Chris Eur, Lizzie Pratt, and Raluca Vlad

With Galen Dorpalen-Barry, Selvi Kara, Carly Klivans, and Lisa Schneider

Slides from a talk on this paper at the JMM Special Session on Research Communities in Algebraic Combinatorics in Boston, MA in January 2023.

With Jose Bastidas and Franco Saliola

With Patty Commins and Vic Reiner

ArXiv preprint
An extended abstract based on this paper was accepted to FPSAC 2023 as a poster.
Slides from a talk Vic gave on this paper
Slides from a talk Patty gave on this paper
Slides from a talk I gave on this paper (and extensions!)

Eulerian representations for real reflection groups, Journal of the London Mathematical Society (2022), 105(1): 412-444.

ArXiv preprint
An extended abstract of this paper was accepted to FPSAC 2021 as a talk, and awarded the Best Student Paper Award!
Slides from my talk at FPSAC 2021, and the recording of the talk.
Slides from a 50-minute version of the talk

Enumerating linear systems on graphs, Mathematische Zeitschrift (2020), 296(3): 1101-1134.

With Forrest Glebe and David Perkinson

ArXiv preprint
An extended abstract of this paper was accepted to FPSAC 2019 as a poster
Slides from a talk on this paper at the AMS Special Session on Combinatorial Algebraic Geometry at University of Wisconsin, Madison in September 2019.

A simplified presentation of Specht modules, Journal of Pure and Applied Algebra (2022), 226(7).

With Tamar Friedmann

ArXiv preprint
Slides from a talk on this paper at the AMS Special Session on Combinatorics in Algebra and Algebraic Geometry at University of Michigan, October 2018.

With Esther Banaian, Harini Chandramouli, Kim Klinger-Logan, Alice Nadeau, and McCleary Philbin.