Research

My research lies in algebraic and enumerative combinatorics, especially the combinatorics of positroid varieties and their diagrammatic models. Publications are also listed on Google Scholar.

Preprints

1. 2026 · Preprint

   Toric Richardson Varieties and Slice Links

   with M. J. Tyler

   arXiv

2. 2026 · Preprint

   The Combinatorics of Affine Deodhar Diagrams

   arXivSlides

3. 2026 · Preprint

   Unimodality of q-Fibonomial Coefficients for Small Cases

   with B. B. Connelly^*, E. Ito^*, O. Shevchenko, and K. Yang^*

   arXiv

Manuscripts in preparation

1. In preparation

   Parking on Positroids

Published articles

1. Rocky Mountain Journal of Mathematics · 55(2), 369–380 · 2025

   Connections of Class Numbers to the Group Structure of Generalized Pythagorean Triples

   with T. Jaklitsch, S. J. Miller, and S. Mukherjee

   arXiv

2. Transactions of the American Mathematical Society · 375(1), 351–368 · 2022

   On Class Numbers, Torsion Subgroups, and Quadratic Twists of Elliptic Curves

   with T. Blum, C. Choi, A. Hoey, J. Iskander, and K. Lakein

   arXiv

3. Journal of Number Theory · 239, 402–444 · 2022

   Generalizing the Distribution of Missing Sums in Sumsets

   with H. V. Chu, D. King, N. Luntzlara, S. J. Miller, L. Shao, C. Sun, and V. Xu

   arXiv

4. Fibonacci Quarterly · 60(5), 220–230 · 2022

   Generalizing Zeckendorf's Theorem to Homogeneous Linear Recurrences, II

   with S. J. Miller, C. Mizgerd, J. Murphy, and C. Sun

   arXiv

5. Fibonacci Quarterly · 60(5), 231–254 · 2022

   Generalizing Zeckendorf's Theorem to Homogeneous Linear Recurrences, I

   with S. J. Miller, C. Mizgerd, and C. Sun

   arXiv

6. Fractal and Fractional · 6(10), 534–552 · 2022

   On Benford's Law and the Coefficients of the Riemann Mapping Function for the Exterior of the Mandelbrot Set

   with F. Beretta, J. Dimino, W. Fang, S. J. Miller, and D. Stoll

   arXiv

7. Fibonacci Quarterly · 58(5), 30–33 · 2020

   Counting on Euler and Bernoulli Number Identities

   with A. T. Benjamin and J. Lentfer

   arXiv

^* Undergraduate coauthor.