Mathematical Articles & Theses

1. q-Chromatic polynomials (with E. Bajo and M. Beck), submitted, arXiv:2403.19573.
2. Combinatorics of generalized parking-function polytopes (with M.M. Bayer, S. Borgwardt, T. Chambers, S. Daugherty, A. Dawkins, D. Deligeorgaki, H. Liao, T. McAllister, A. Morrison, G. Nelson), submitted, arXiv:2403.07387.
3. Combinatorial results on barcode lattices (with A. Bouquet), Order (accepted), arXiv:2312.08705.
4. Ehrhart positivity of panhandle matroids and a bound for paving matroids (with D. Deligeorgaki and D. McGinnis), submitted, arXiv:2311.01640.
5. Local h*-polynomials for one-row Hermite normal form simplices (with E. Bajo, B. Braun and G. Codenotti and J. Hofscheier), submitted, arXiv:2309.01186.
6. Stack-sorting simplices: geometry and lattice-point enumeration (with C. Mitchell and E. Lee), submitted, arXiv:2308.16457.
7. A combinatorial proof of a tantalizing symmetry on Catalan objects (with M. Bóna, S. Dimitrov, G. Labelle, Y. Li, J. Pappe, and Y. Zhuang), submitted, arXiv:2212.10586.
8. Generalized parking function polytopes (with M. Hanada and J. Lentfer), Annals of Combinatorics (2023), published online, arXiv:2212.06885.
9. On the critical group of hinge graphs (with A. Martinian), Rocky Mountain Journal of Mathematics (accepted), arXiv:2210.01793.
10. Ehrhart theory of paving and panhandle matroids (with D. Hanely, J.L. Martin, D. McGinnis, D. Miyata, G. Nasr, and M. Yin), Advances in Geometry, 23 (2023), no. 4, 501–526, arXiv:2201.12442.
11. Maximal chains in bond lattices (with S. Ahirwar, S. Fishel, P. Gya, P.E. Harris, N. Pham, and D.K. Vo), The Electronic Journal of Combinatorics, 29 (2022), no. 3, Paper No. 3.11.
12. Enumerating k-Naples parking functions through Catalan objects (with J. Carvalho, P.E. Harris, G. Rojas Kirby, and N. Tripeny), Integers (accepted), arXiv:2109.01735.
13. Triangulations, order polytopes, and generalized snake posets (with M. Bell, B. Braun, D. Hanely, K. Serhiyenko, J. Vega, and M. Yip), Combinatorial Theory, 2 (2022), no. 3, Paper No. 10, 34, arXiv:2102.11306.
    • Extended Abstract, Séminaire Lotharingien de Combinatoire 86B.05 (2022), 12pp., Proceedings of FPSAC 2022.
14. Counting k-Naples parking functions through permutations and the k-Naples area statistic (with L. Colmenarejo, P.E. Harris, Z. Jones, C. Keller, A. Ramos Rodríguez, and E. Sukarto), Enumerative Combinatorics and Applications, 1 (2021), no. 2, Paper No. S2R11, 16 pp., arXiv:2009.01124.
15. Decompositions of Ehrhart h*-polynomials for rational polytopes (with M. Beck and B. Braun), Discrete &amp Computational Geometry, 68 (2022), no. 1, 50-71, arXiv:2006.10076.
    • Extended Abstract, Séminaire Lotharingien de Combinatoire 85B.38 (2021), 12pp., Proceedings of FPSAC 2021.
16. Combinatorial invariants of rational polytopes, Doctoral Dissertation, University of Kentucky, 2021.
17. The equivariant Ehrhart theory of the permutahedron (with F. Ardila and M. Supina), Proceedings of the American Mathematical Society, 148 (2020), no. 12, 5091-5107, arXiv:1911.11159.
    • Extended Abstract, Séminaire Lotharingien de Combinatoire 84B.33 (2020), 12pp., Proceedings of FPSAC 2020.
18. A brief survey on lattice zonotopes (with B. Braun), Algebraic and Geometric Combinatorics on Lattice Polytopes, Proceedings of the Summer Workshop on Lattice Polytopes, T.   Hibi and A. Tsuchiya (eds), World Scientific, New Jersey, 2019, pp. 101-116.
19. The equivariant volumes of the permutahedron (with F. Ardila and A. Schindler), Discrete & Computational Geometry, 65 (2021), no. 3, 618-635, arXiv:1803.02377.
    • Extended Abstract, Séminaire Lotharingien de Combinatoire 82B.16 (2019), 12pp., Proceedings of FPSAC 2019.
20. Two problems on lattice point enumeration of rational polytopes, Master’s Thesis, San Francisco State University, 2017.