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. A. Dave*, T. Feng*, N. Lesnevich, S. Oh, E. Richmond, E. Wang*, and A. Wu*. "Shifted lower Bruhat intervals are EL-shellable". submitted (2026) [arXiv:2608.04417]
  2. J. Lee*, N. Lesnevich, and M. Precup. "Restricted inversion polynomials". to appear in Electronic Journal of Combinatorics (2026). [arXiv:2511.05676]
  3. J. Boretsky, A. Cornejo, R. Hodges, P. Horn, N. Lesnevich, and T. McAllister. "Comparability in Bruhat orders". submitted (2026) [arXiv:2601.21158]
  4. N.R.T. Lesnevich. "Signed permutations and degree-one dot action representations for types B and C". submitted (2025). [arXiv:2511.13913]
  5. 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:]
  6. N.R.T. Lesnevich. "Splines on Cayley Graphs of the Symmetric Group." Forum of Mathematics, Sigma 13 (2025): e96. [article, arXiv:2401.14380].
  7. 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].
  8. 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. U Kansas Smith Colloquium, September 17, 2026
  2. U Kansas Combinatorics Seminar, September 18, 2026
  3. JMM Special Session on Posets, lattices, and semilattices in algebraic and geometric combinatorics, January 12-15, 2027

  • Nate Lesnevich
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