My research is in algebraic combinatorics.

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

Papers and related talks

Expand each paper below to see related slides, talk recordings, arXiv preprints and extended abstracts (i.e. FPSAC proceedings).

In preparation

Configuration spaces and peak representations 

With Marcelo Aguiar and Vic Reiner

(an extended abstract on this paper has been accepted to appear in FPSAC 2024 proceedings)

Spectrum of random-to-random in the Hecke algebra

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


Wondertopes, submitted.

With Chris Eur, Lizzie Pratt, and Raluca Vlad

A three-regime theorem for flow-firing, submitted.

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


Left regular bands of groups and the Mantaci-Reutenauer algebra, to appear in Journal of Algebra.

With Jose Bastidas and Franco Saliola

Invariant theory of the free left regular band and a q-analogue, Pacific Journal of Mathematics (2023) 322-2, 251--280. 

With Patty Commins and Vic Reiner

A Type B analog of the Whitehouse representations, Mathematische Zeitschrift (2023), 303(3), 58.

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

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

With Forrest Glebe and David Perkinson

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

With Tamar Friedmann 

A workshop to build community and broaden participation in mathematics: reflections on the Mathematics Project at Minnesota, PRIMUS (2022) 32:6, 738-754

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

Other writing and content

Introduction to my research: A 5-minute video on my research made for the UMN accepted students weekend in March 2020. It should be accessible to anyone with familiarity in algebra.

A 5 minute introduction to my research