My research area is algebraic combinatorics. I am interested in symmetric functions and quasisymmetric functions. I especially like to work with chromatic symmetric functions and chromatic quasisymmetric functions. I also enjoy working with permutation statistics.
E. E. Allen, K. Celano, S. K. Mason. New proof of an inverse Kostka matrix problem posed by Eğecioğlu and Remmel and related identities in Sym and NSym. 2025+. In preparation.
Presented at Combinatorial Algebra meets Algebraic Combinatorics 2025 Poster
Presented in the MSU CG&T Seminar Video
Presented at Triangle Lectures in Combinatorics Slides
Presented at FPSAC 2025 (talk). Extended Abstract in Séminaire Lotharingien de Combinatoire. 93B. Proceedings of the 37th International Conference on "Formal Power Series and Algebraic Combinatorics", (FPSAC 2025). Slides
K. Celano, J. Elder, K. P. Hadaway, P. E. Harris, A. Priestley, G. Udell. Inversions in parking functions. 2025. arXiv 2507.07243. Submitted.
Started at Graduate Research Workshop in Combinatorics 2024 held at University of Wisconsin-Madison.
Presented FPSAC 2025. (poster). Extended Abstract in Séminaire Lotharingien de Combinatoire. 93B. Proceedings of the 37th International Conference on "Formal Power Series and Algebraic Combinatorics", (FPSAC 2025).
K. Celano, J. Elder, K. P. Hadaway, P. E. Harris, J. L. Martin, A. Priestley, G. Udell. On inversions, major index, and the area statistic on \ell-interval parking functions. 2025. arXiv 2507.07243. In preparation.
Started at Graduate Research Workshop in Combinatorics 2024 held at University of Wisconsin-Madison.
Presented at Permutation Patterns 2025 Slides
Esther Banaian, Kyle Celano, Megan Chang-Lee, Laura Colmenarejo, Owen Goff, Jamie Kimble, Lauren Kimpel, John Lentfer, Jinting Liang, and Sheila Sundaram. “The e-positivity of the chromatic symmetric function for twinned paths and cycles”. In: Discrete Mathematics 348.12 (2025).
Started at the Graduate Research Workshop in Combinatorics 2023 held at University of Wyoming. Original Proposal
Presented at JMM 2025 AMS Special Session on Research from the Graduate Research Workshop in Combinatorics Slides
K. Celano, N. Sieger, S. Spiro. Eulerian Polynomials for Digraphs. 2024. Combinatorial Theory, 5(1)
Extended abstract in Séminaire Lotharingien de Combinatoire. 91B. Proceedings of the 36th International Conference on "Formal Power Series and Algebraic Combinatorics", (FPSAC 2024).
FPSAC 2024 poster session. Poster
Started at Graduate Student Conference in Combinatorics 2022 at UCSD.
K. Celano. RSK for 3-free posets. In: Séminaire Lotharingien de Combinatoire. 89B. Proceedings of the 35th International Conference on "Formal Power Series and Algebraic Combinatorics" (FPSAC 2023)
FPSAC 2023 poster session. Poster
K. Celano. Advisor: M. L. Wachs. Chromatic Symmetric Functions and RSK for (3+1)-Free Posets. University of Miami. 2023