My primary research area is combinatorics. I am especially interested in symmetric functions, representation theory, matroids, and positivity properties for integer sequences (e.g. unimodality, log-concavity, Pólya Frequency, etc).

Preprints

• Cylindrical Networks and Total Nonnegativity, February 2025.

Published Work

• Generalized Diagonals in Positive Semi-Definite Matrices, joint work with Daniel Soskin. In the European Journal of Combinatorics, December 2025. Also on the arXiv.

• Chow Rings of Matroids as Permutation Representations, joint work with Anastasia Nathanson and Victor Reiner. In the Journal of the London Mathematical Society, January 2025. Also on the arXiv.

• Superspace Coinvariants and Hyperplane Arrangements, joint work with Patricia Commins, Trevor Karn, Satoshi Murai, and Brendon Rhoades. In Advances in Mathematics, May 2025. Also on the arXiv.

Presentations

• Hadamard Products of Jacobi-Trudi Matrices

  • At the AMS Fall Virtual Sectional Meeting, October 2025.

  • At the UMN Combinatorics Seminar, October 2025.

  • At the AMS Southeastern Sectional Meeting, October 2025.

• Cylindrical Networks and Total Nonnegativity

  • At the University of Michigan Combinatorics Seminar, September 2025.

  • At the Graduate Online Combinatorics Colloquium, May 2024.

• Weakly Interlacing Polynomials and Total Nonnegativity

  • At the UMN Combinatorics Seminar, November 2023.

  • At the Graduate Student Combinatorics Conference, March 2023.

• Permutations Actions on Chow Rings of Matroids

  • At the UMN Combinatorics Seminar, February 2023.

  • At MaTroCom London, January 2023.

• Various expository talks:

  • Path Matrices, Temperley-Lieb Immanants, and the Jacobi-Trudi Identity, UMN Student Combinatorics and Algebra Seminar, October 2025.

  • A Tale of Two Hierarchies: "Nice" Number Sequences and Representations, UMN Student Combinatorics and Algebra Seminar, October 2024.

  • Totally Nonnegative Matrices and Real-Rooted Polynomials in Combinatorics, UMN Student Combinatorics and Algebra Seminar, October 2023.

  • Total Positivity in Three Flavors, UMN Student Combinatorics and Algebra Seminar, February 2022.

  • Characters of the Infinite Symmetric Group and Total Positivity, UMN Student Summer Representation Theory Seminar, July 2021.

For the 2025-2026 academic year, I am supported by the University of Minnesota's Doctoral Dissertation Fellowship.

In the past, I have been both a Visiting Instructor at Macalester College and a Graduate Teaching Assistant at the University of Minnesota.

Macalester College

• (x5) Discrete Mathematics, primary instructor. Spring '24- Spring '25.

University of Minnesota

• Short Calculus, teaching assistant, Fall '24.

• Calculus and Dynamical Systems in Biology, teaching assistant, Fall '23.

• Precalculus I, teaching assistant, teaching assistant, Spring '23.

• College Algebra and Probability, teaching assistant, Spring '23.

• Precalculus I, primary instructor, teaching assistant, Fall '22.

• (x2) Sequences, Series, and Foundations, teaching assistant, Fall '21-Spring '22.

• Calculus II, Spring '21.

• Calculus I, Fall '20.

Research Experiences for Undergraduates (REU) and Directed Reading Program (DRP)

In the summers of 2022 and 2023, I was a TA for the University of Minnesota REU in Combinatorics. Students in my groups authored this paper and this paper.

I have been a mentor for Minnesota's DRP program several times. I have mentored projects on partition theory/Rogers-Ramanujan identities, surreal numbers, and the theory of gambling.