Publications

In preparation

• The quantum k-Bruhat order, with Nick Mayers

• A box-by-box formula for Koornwinder polynomials, with Lucas Gagnon and Arun Ram 

Publications

1. The e-positivity of the chromatic symmetric function for twinned paths and cycles, with Esther Banaian, Megan Chang-Lee, Kyle Celano, Owen Goff, Jamie Kimble, Lauren Kimpel, John Lentfer, Jinting Liang, and Sheila Sundaram. Discrete Mathematics, Volume 348, Issue 12, (2025).

2. c-functions and Koornwinder polynomials, with Arun Ram. The Quarterly Journal of Mathematics (2025). 

3. On ranked and bounded Kohnert posets, with Felix Hutchins*, Nick Mayers, and Etienne Phillips*. Order (2025).
   ArXiV version (slightly different): arXiv: 2309.07747

4. A quantum Murnaghan--Nakayama rule for the flag manifold,  with Carolina Benedetti, Nantel Bergeron, Franco V. Saliola, and Frank Sottile. Algebraic Combinatorics, Volume 8 (2025) no. 3, pp. 619-653.

5. On the lucky and displacement statistics of Stirling permutations, with Aleyah Dawkins, Jennifer Elder, Pamela E. Harris, Kimberly J. Harry, Selvi Kara, Dorian Smith, and Bridget Eileen Tenner. Journal of Integer Sequences, Vol. 27 (2024), Article 24.6.7

6. Actualizing the virtuality of the Cauchy-Riemann equations, with Hortensia Soto,  Leandro Abbrescia, Adam Castillo, Anthony Sanchez, and Rosaura Uscanga. ZDM – Mathematics Education (2024).

7. c-functions and Macdonald polynomials, with Arun Ram. Journal of Algebra (2024).

8. Chromatic symmetric functions on unit interval orders and rook theory, with Alejandro H. Morales and Greta Panova. European Journal of Combinatorics (2022). Related extended abstract in Proceedings FPSAC 2021.

9. A quadratic identity in the shuffle algebra and a new proof for de Bruijn's formula, with Joscha Diehl and Miruna-Stefana Sorea. European Journal of Combinatorics (2021).

10. Counting k-Naples parking functions through permutations and the k-Naples area statistic, with Pamela E. Harris, Zakiya Jones*, Christo Keller*,  Andrés Ramos Rodríguez*, Eunice Sukarto*,  and Andrés R. Vindas-Meléndez. Enumerative Combinatorics and Applications, Volume 2021-1:2, Article #S2R11 (2021). 

11. Toric geometry of path signature varieties, with Francesco Galuppi and Mateusz Michalek. Advances in Applied Mathematics (2020).

12. Connections between vector-valued and highest-weight Jack and Macdonald polynomials, with Charles F. Dunkl and Jean-Gabriel Luque. AIHPD (2022).

13. An insertion algorithm on multiset partitions with applications to diagram algebras, with Rosa Orellana, Franco Saliola, Anne Schilling, and Mike Zabrocki. Journal of Algebra (2020). Related extended abstract in Proceedings FPSAC 2020.

14. Signatures of paths transformed by polynomial maps, with Rosa Preiß. Contributions to Algebra and Geometry (2020). 

15. Singular Nonsymmetric Macdonald Polynomials and Quasistaircases, with Charles F. Dunkl. SIGMA (2020).

16. Factorizations of symmetric Macdonald polynomials, with Charles F. Dunkl and Jean-Gabriel Luque. Symmetry  (2018).

17. A minimaj-preserving crystal on ordered multiset partitions, with Georgia Benkart, Pamela E. Harris, Rosa Orellana, Greta Panova, Anne Schilling, and Martha Yip. Advances in Applied Mathematics (2018). Related extended abstract in Proceedings FPSAC 2018.

18. Stability Properties Of The Plethysm: A Combinatorial Approach.
    Discrete Mathematics  (2017). Related extended abstract in Proceedings FPSAC 2015.

19. Plane partitions and the combinatorics of some families of reduced Kronecker coefficients.
    Related extended abstract in Proceedings FPSAC 2016.

20. Combinatorics on a family of reduced Kronecker coefficients, with Mercedes Rosas.
    Comptes Rendus Mathematiques (2015).

21. Combinatorial proof for a stability property of plethysm coefficients, with Emmanuel Briand.
    Electronic Notes in Discrete Mathematics (2014). 

22. Some stability phenomena for the reduced Kronecker coefficients, with Mercedes Rosas.
    Encuentros de Álgebra Computacional y Aplicaciones (2014).
    
    

(*) indicates that the author was an undergraduate student at the time of doing the research for the article.