Research

My research is in algebraic combinatorics.

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

Papers and related talks

In preparation

Configuration spaces and peak representations (manuscript available upon request)

With Marcelo Aguiar and Vic Reiner

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

Preprints

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

Publications

Left regular bands of groups and the Mantaci-Reutenauer algebra, Journal of Algebra (2024) Vol. 655, pg 29-94.

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