1. Kirillov-Reshetikhin dual equivalence graphs.
(with J. McDonough, P. Pylyavskyy). (2025). (Read it)
2. The support of Kostant's weight multiplicity formula is an order ideal in the weak Bruhat order.
(with P. Anderson, E. Banaian, M. Ferreri, O. Goff, K. Hadaway, P. Harris, K. Harry, N. Mayers, A. Wilson). (2025). (Read it)
3. The Stanley-Stembridge Conjecture for 2+1+1-avoiding unit interval orders: a diagrammatic proof.
(with J. McDonough, P. Pylyavskyy). (2024). (Read it)
4. 0-Hecke modules for row-strict dual immaculate functions.
(with E. Niese, S. Sundaram, S. van Willigenburg, J. Vega). Trans. Amer. Math. Soc. 377 (2024), 2525-2582. (Read it)
5. Pieri rules for skew dual immaculate functions.
(with E. Niese, S. Sundaram, S. van Willigenburg). Canadian Mathematical Bulletin. Published online (2024), 1-13. (Read it)
6. Row-strict dual immaculate functions.
(with E. Niese, S. Sundaram, S. van Willigenburg, J. Vega). Advances in Applied Mathematics. 149 (2023): 102540. (Read it)
7. The e-positivity of the chromatic symmetric functions and the inverse Kostka matrix (2022). (Read it)
8. Row-strict dual immaculate functions and 0-Hecke modules.
(with E. Niese, S. Sundaram, S. van Willigenburg, J. Vega). Poster presentation at FPSAC 2022. Extended abstract published in Sém. Lothar. Combin, 86B (2022), Art. #6, 12 pp. (Read it)
9. Connection between graphical potential games and Markov random fields with an extension to Bayesian networks (2018).
Master thesis at California State University Long Beach. (Read it)
