Research

My current research interests are in enumerative combinatorics. Much of my current research focuses on connections between rectangulations and other combinatorial objects. During my undergrad I also did research in graph theory and in the chemistry lab. See below for links to all of my pre-prints and publications and scroll further down for slides from talks I have given. If you are one of my collaborators and I am missing or have an incorrect link to your homepage, please let me know.

Rectangulation connections

I created the following document summarizing the rectangulations research landscape to provide both an entry point for newcomers and to highlight open questions and research directions. A downloadable version is available HERE (last edited 10 July 2025). This document was created in IPE version 7.2.29. Do you know of a result I missed? Let me know!

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Recent pre-prints

More research coming soon!

Published articles

3
Patterns in rectangulations. Part I: T-like patterns, inversion sequence classes I(010, 101, 120, 201) and I(011, 201), and rushed Dyck paths
(with Andrei Asinowski), Discrete Mathematics & Theoretical Computer Science, vol. 27, num. 1, Permutation Patterns 2024 (2025)
PDF
arXiv
DOI
2
Mechanical Recycling of 3D-Printed Thermosets for Reuse in Vat Photopolymerization
(with Erin M. Maines, Greg Haugstad, Brenda Zhao, Theresa M. Reineke, and Christopher J. Ellison), ACS Applied Polymer Materials 6(8), Apr 2024, 9 pp.
PDF
Supp. Info
DOI
1
The 334-Triangle Graph of SL(3,Z)
(with Eric Egge), Involve: A Journal of Mathematics, vol. 15, num. 3 (2022), 537-546.
PDF
arXiv
DOI

Talks

Characterization of Avoidance of One-Sided 2- and 3-Segment Patterns in Rectangulations by Mesh Patterns
20-minute version

Patterns in Rectangulations: T-avoiding rectangulations, Catalan structures, inversion sequences, and Dyck paths
20-minute version
50-minute version

The 334-Triangle Graph of SL(3,Z)
20-minute version