Papers

Published and Accepted:

1. Delta and Theta Operator Expansions (with A. Iraci), Forum of Mathematics, Sigma, 12 (2024), e30. The article.

2. New identities for Theta operators (with M. D’Adderio), Trans. Amer. Math. Soc., 376 (2023), 5775-5807. arXiv. The article.

3. A proof of the fermionic Theta coinvariant conjecture, (with A. Iraci and B. Rhoades), Discrete Mathematics, Volume 346, Issue 7, (2023), 113474. arXiv. The article. 

4. Some combinatorial aspects of Theta and Delta operators, Contemporary Mathematics, Macdonald Theory and Beyond: Combinatorics, Geometry, and Integrable Systems, Volume 825 (2025). 

5. Tiered trees and Theta operators (with M. D’Adderio, A. Iraci, Y. LeBorgne, and A. Vanden Wyngaerd), International Mathematics Research Notices, rnac258 (2022). arXiv. The article. 

6. Kronecker powers of harmonics, polynomial rings, and generalized principal evaluations, Journal of Algebraic Combinatorics, 18 (2022). arXiv. The article. 

7. Positivities in Hall-Littlewood expansions and related plethystic operators, Revista de la Unión Matemática Argentina Volume 64, No. 2 (2023). The article. 

8. A proof of the theta operator conjecture, Journal of Combinatorial Theory, Series A, Volume 185, (2022), 105535. arXiv. The article. 

9. Some new symmetric function tools and their applications (with A. M. Garsia and J. Haglund), Journal of Combinatorics (special issue in honor of Jeff Remmel), 10 (2019), pp. 655-674. The article. 

10. Delta operators at q = 1 and polyominoes (with A. Hicks). Séminaire Lotharingien de Combinatoire, 80B, (2018). The article. 

11. The Delta Conjecture at q = 1, Trans. Amer. Math. Soc. 369 (2017), pp. 7509-7530. arXiv. The article. 

12. A note on the kth tensor product of the defining representation (with A. Mendes), Journal of Combinatorics 7, 4 (2016). The article. 

Preprints and Submissions:

1. Five-Term Relations for wreath Macdonald polynomials and tableau formulas for Pieri coefficients (with J. J. Wen), arXiv:2505.15606, (2025). arXiv 

2. Tesler identities for wreath Macdonald polynomials (with J. J. Wen), arXiv:2505.01732, (2025). arXiv 

3. Color rules for cyclic wreath products and semigroup algebras from projective toric varieties (with F. Levicán), arXiv:2504.19008, (2025). arXiv 

4. On Macdonald expansions of q-chromatic symmetric functions and the Stanley–Stembridge Conjecture (with S. T. Griffin, A. Mellit, K. Weigl, and J. J. Wen), arXiv:2504.06936, (2025). arXiv 

5. The super nabla operator (with F. Bergeron, J. Haglund, and A. Iraci), arXiv:2303.00560, (submitted 2024). arXiv 

6. Stability theorems for multiplicities in graded Snmodules (with N. Wallach), arXiv:2108.00036 (submitted 2024). arXiv 

7. Bosonic-Fermionic Diagonal Coinvariants and Theta Operators (with F. Bergeron, J. Haglund, and Alessandro Iraci), (2022). 

8. e-Positivity Results and Conjectures (with A. Garsia, J. Haglund, and D. Qiu), arXiv:1904.07912 (2019). arXiv