My interest lie at the intersection of commutative algebra, semiring theory, and factorization theory. Specifically, I am interested in understanding the algebraic and factorization properties of subsemirings of integral domains.

Selected Publications

A Goldbach theorem for Laurent polynomials with positive integer coefficients, Amer. Math. Monthly (to appear).
Arithmetic of additively reduced monoid semidomains (with S. T. Chapman), Semigroup Forum, 107 (2023) 40-59.
On the arithmetic of polynomial semidomains (with F. Gotti), Forum Math., 35 (2023) 1179-1197.
On the subatomicity of polynomial semidomains (with F. Gotti). In: Algebra and Polynomials: Algebraic, Number Theoretic, and Topological Aspects of Ring Theory (Eds. J. L. Chabert, M. Fontana, S. Frisch, S. Glaz, and K. Johnson), Springer, Cham. https://doi.org/10.1007/978-3-031-28847-0_13.
On the atomic structure of exponential Puiseux monoids and semirings (with S. Albizu-Campos and J. Bringas), Comm. Algebra 49 (2021) 850-863.

Recent Talks

Goldbach conjecture for polynomials, Southern California Number Theory Day, University of California, Irvine, 2023.
The D + M construction in semidomains, Conference on Rings and Factorizations, Graz, Austria, 2023.
On the arithmetic of polynomial semidomains, International Meeting on Numerical Semigroups, Rome, Italy, 2022.
Localization and atomic domains, Algebra Seminar, University of Havana, Cuba, 2022.
Polynomial Semidomains, Spring Western Sectional Meeting of the AMS (online), 2022.

Here you can find a recent version of my curriculum vitae (updated on Oct. 2023).