My research interests are bijective, enumerative and algebraic combinatorics. I'm currently interested in techniques for finding new bijective proofs from algebraic proofs of combinatorial identities.
Papers/Preprints
"Enumerating Vector Parking Functions and their Outcomes Based on Specified Lucky Cars," 2025. (with P. E. Harris, L. Martinez, E. Swartz) arXiv:2508.13917
“The support of Kostant’s weight multiplicity formula is an order ideal in the weak Bruhat order,” 2024. (with P. X. Anderson, E. Banaian, O. C. Goff, K. P. Hadaway, P. E. Harris, K. J. Harry, N. Mayers, S. Wang, A. N. Wilson) arXiv:2412.16820
“Bijections for generalized Wilf equivalences,” 2024. arXiv:2410.22432
"Naturally emerging maps for derangements and nonderangements," 2023. arXiv:2301.13718
Poster from Permutation Patterns 2022 "Recursive maps for derangements and nonderangements" can be viewed here.
Non-math
When I was an undergraduate, I worked on physics research in the Materials Simulation group at Wake Forest. The following paper is related to that work.
"Reactivity of Atomic Layer Deposition Precursors with OH/H2O-containing Metal Organic Framework Materials." (with K. Tan, S. Jensen, L. Feng, H. Wang, Sh. Yuan, J. Klesko, R. Rahman, J. Cure, J. Li, H. Zhou, T. Thonhauser, Y. Chabal.) Chemistry of Materials 31(7), 2286–2295 (2019). [link]