My interests lie at the intersection of semiring theory, number theory, and factorization theory. Specifically, I am interested in understanding the algebraic and factorization properties of subsemirings of integral domains. Additionally, I am investigating analogues of the Goldbach conjecture in the context of polynomial semirings.

Selected Papers

A Goldbach theorem for Laurent series semidomains (with N. Kaplan). Available at https://arxiv.org/abs/2312.14888.
A Goldbach theorem for Laurent polynomials with positive integer coefficients (with S. Liao), Amer. Math. Monthly, 131 (2024) 704-711.
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

Integer-valued polynomials on semidomains, AMS-UMI International Joint Meeting, Palermo, Italy, 2024.
Numerical-valued polynomials, International Meeting on Numerical Semigroups, Jerez, Spain, 2024.
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.
Localization and atomic domains, Algebra Seminar, University of Havana, Cuba, 2022.

Here you can find a recent version of my curriculum vitae (updated on Oct. 2024).

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