Research Interests
I am currently a Brains & Behavior Fellow at Georgia State University. My primary research interests are Combinatorics as it connects to (Hyper) Graph Theory and Design Theory. I have completed multiple projects generalizing previous theorems concerning factorizations of hypergraphs and completion of Latin squares with varied parameters. My academic project work also includes mini-studies of a variety of problems in (multi)-graph edge coloring and structural graph theory.
Click here to view my ORCID record.
Current Projects
- Applications of the Goldberg-Seymour conjecture
Publications
Published or Accepted
- Embedding Connected Factorizations (with Amin Bahmanian and Stefan Napirata), Journal of Combinatorial Theory, Series B, Volume 155, July 2022, pp. 358-373
- Existence of 2-factors in t-tough Graphs with Forbidden Induced Subgraphs (with Elizabeth Grimm and Songling Shan), Discrete Mathematics, Volume 346, Issue 10, October 2023
Submitted for Publication
- Embedding Irregular Colorings into Connected Factorizations (with Amin Bahmanian), 17 pages, under review
- Ryser’s Theorem for Equitable Rectangles (with Amin Bahmanian), 19 pages, submitted spring 2024
In Preparation
- The Andersen-Hoffman Theorem for Equitable Rectangles (with Amin Bahmanian)