Research Interests
I am broadly interested in Algebraic and Enumerative Combinatorics, in particular with connections to Geometry and Representation Theory.
I currently work on representations of reflection groups on splines, tubings of the cycle graph, expansions of the chromatic quasisymmetric function, and questions related to the cohomology of Hessenberg- and other GKM-varieties.
Publications and Papers
- B. Adenbaum, E. Barnard, M. Hlavacek, B. Kagy, N. R. T. Lesnevich, G. D. Nasr, and K. Waddle, "The Poset of Maximal Tubings of the Cycle Graph is a Lattice" ArXiv (2025). [arXiv:2510.09429:]
- N.R.T. Lesnevich, "Splines on Cayley Graphs of the Symmetric Group." Forum of Mathematics, Sigma 13 (2025): e96. [article, arXiv:2401.14380].
- N.R.T. Lesnevich, "Hook-shape immanant characters from Stanley-Stembridge characters". Algebraic Combinatorics, Volume 7 (2024) no. 1, pp. 137-157. [article, arXiv:2304.05285].
- N.R.T Lesnevich and P.R.W. McNamara "Positivity Among P-partition Generating Functions." Annals of Combinatorics 26, 171-204 (2022). [article, arXiv:2006.10087]
Upcoming and Recent Talks
- AMS Special Session on Interactions between Geometry, Combinatorics, and Flag Varieties, October 18-19, 2025
- Graduate Research Workshop in Combinatorics , June 16-27, 2025
- (Organizer) AMS Special Session on Combinatorics and Lie Theory, March 29-30, 2025
- WUSTL Combinatorics Seminar, March 17, 2025
- OKState Combinatorial and Commutative Algebra Seminar, March 13, 2025
- OKState Combinatorial and Commutative Algebra Seminar, October 17, 2024
- KU Combinatorics Seminar, November 3rd, 2023
- 2023 Schubert Summer School, June 20th, 2023
- CMS Summer Meeting, June 5, 2023
- Algecom XXIII (poster), April 15, 2023
- Graduate Online Combinatorics Colloquium, March 8, 2023
- Dartmouth Combinatorics Seminar, February 21, 2023
- WUSTL Combinatorics Seminar, February 20, 2023
- AMS Fall Eastern Sectional, October 2, 2022