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, posets of maximal tubings, expansions of the chromatic quasisymmetric function, and questions related to the cohomology of Hessenberg- and other GKM-varieties.

Publications and Papers

  1. J. Boretsky, A. Cornejo, R. Hodges, P. Horn, N. Lesnevich, and T. McAllister. "Comparability in Bruhat orders". (2026) [arXiv:2601.21158]
  2. N.R.T. Lesnevich. "Signed permutations and degree-one dot action representations for types B and C". submitted (2025). [arXiv:2511.13913]
  3. J. Lee*, N. Lesnevich, and M. Precup. "Restricted inversion polynomials". submitted (2025). [arXiv:2511.05676]
  4. 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". submitted (2025). [arXiv:2510.09429:]
  5. N.R.T. Lesnevich. "Splines on Cayley Graphs of the Symmetric Group." Forum of Mathematics, Sigma 13 (2025): e96. [article, arXiv:2401.14380].
  6. 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].
  7. 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]

*undergraduate coauthor

Upcoming and Previous Talks

  1. AMS Special Session on Algebraic Combinatorics, March 28-29, 2026
  2. AMS Special Session on Symmetric functions and subvarieties of flag varieties, March 28-29, 2026

  • Nate Lesnevich
☰