Research
Publications:
Published:
Rotor-Routing Induces the Only Consistent Sandpile Torsor Structure on Plane Graphs. (2023)
With Ankan Ganguly.
Forum of Mathematics, Sigma, vol. 11, e78.
Extended Abstract Accepted for a talk at FPSAC 2022.
Sampling planar tanglegrams and pairs of disjoint triangulations (2023)
With Alexander E. Black, Kevin Liu, Garrett Nelson, Michael C. Wigal, Mei Yin, and Youngho Yoo.
Advances in Applied Mathematics, vol. 149.
Matching Complexes of Trees and Applications of the Matching Tree Algorithm. (2022)
With Marija Jelić Milutinović, Helen Jenne, and Julianne Vega.
Annals of Combinatorics, 26, pg 1041-1075.
A Combinatorial Mapping for the Higher-Dimensional Matrix-Tree Theorem. (2021)
Algebraic Combinatorics, vol. 4 no. 5.
Extended Abstract Accepted for a talk at FPSAC 2021.
Higher-Dimensional Sandpile Groups and Matrix-Tree Multijections. (2021)
Brown University PhD Thesis.
Determining Genus From Sandpile Torsor Algorithms. (2021)
Discrete Mathematics & Theoretical Computer Science, vol. 23 no. 1.
Extended Abstract accepted for a poster at FPSAC 2018.
Preprints:
A Canonical Group-Like Structure on the Spanning Trees of a Plane Graph. (2024)
Expository paper to bring sandpile torsors to a wider audience.
Not available online due to journal restrictions. Email me for a copy.
A Consistent Sandpile Torsor Algorithm for Regular Matroids. (2024)
With Changxin Ding, Lilla Tóthmérész, and Chi Ho Yuen
Extended Abstract Accepted for a Poster at FPSAC 2024.
The full version is not quite ready yet.
Fragmenting any Parallelepiped into a Signed Tiling. (2023)
With Joseph Doolittle.
Extended Abstract Accepted for a talk at ICECA 2023 and a poster at FPSAC 2024.
Accepted as a poster at AlCoVE 2023.
Torsors and Tilings from Toric Toggling. (2023)
With Colin Defant, Michael Joseph, and Matthew Macauley.
Extended Abstract 1 (with Laurent David) Accepted for a talk at AUTOMATA 2021.
Extended Abstract 2 Accepted for a poster at FPSAC 2022.
Realizable Standard Young Tableaux. (2023)
With Igor Araujo, Alexander E. Black, Amanda Burcroff, Yibo Gao, and Robert A. Kreuger.
Combinatorial and Asymptotic Results on the Neighborhood Grid. (2020)
With Ulrich Reitebuch and Martin Skrodzski.