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 the symmetric group on splines, immanants of Jacobi-Trudi matrices, and questions related to the cohomology of Hessenberg- and other GKM-varieties.
Upcoming and Recent Talks
- 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
Publications and Papers
- Lesnevich, N.R.T, "Splines on Cayley Graphs of the Symmetric Group". (Submitted) [arXiv:2401.14380].
- Lesnevich, N.R.T. "Hook-shape immanant characters from Stanley-Stembridge characters". Algebraic Combinatorics, Volume 7 (2024) no. 1, pp. 137-157. [article, arXiv:2304.05285].
- Lesnevich, N.R.T., McNamara, P.R.W. "Positivity Among P-partition Generating Functions." Annals of Combinatorics 26, 171-204 (2022). [article, arxiv:2006.10087]