I am a second-year math PhD student at UC Davis, where I am fortunate to be advised by Jesús de Loera.
I am broadly interested in combinatorics, computation, and probability. My current focus is the algorithmic and computational aspects of discrete geometry.
Contact me at moralesduarte _at_ ucdavis.edu
Research
Published
- Statistics of Erdős-Rényi Random Numerical Semigroups. With N. Kravitz and C. Schildkraut (2025). To appear in European Journal of Combinatorics. (arXiv)
- Improved Upper Bounds on Key Invariants of Erdős-Rényi Numerical Semigroups. With Tristram Bogart (2024). Semigroup Forum (2026). (Springer, arXiv)
- An Exact Method for Reliable Shortest Path Problems With Correlation. With E. Leiva, D. Yamín, and A. L. Medaglia. Networks (2026): 1–18. (Wiley)
Preprints
- Most (0,1)-polytopes are not normal (2026). (arXiv)
- Ehrhart h*-distributions. With B. Braun, M. Hlavacek, C. J. Meza, and A. R. Vindas-Meléndez (2026). (arXiv)
- There are matroid toric ideals without quadratic Gröbner bases. With J. A. De Loera, L. Ferroni, and J. Rambau (2026). (arXiv)