I enjoy working with students! For the past couple of years, I have been involved in mentoring activities such as MIT PRIMES and CrowdMath.  If you're interested in doing research in mathematics and need some guidance, please feel free to reach out to me at harold.polo@uci.edu. 

I have had the pleasure of working with the following students: Sofía Albizu-Campos, Juliet Bringas, Hannah Fox, Agastya Goel, Victor Michel Gonzalez, Eddy Li, Sophia Liao, Caroline Liu, Annabel Ma, Advaith Mopuri, Pedro Rodriguez,  Andrew Zhang, and Charlez Zhang.

Here are the papers that have been completed or are currently in progress under my guidance:

• On the atomic structure of exponential Puiseux monoids and semirings by Sofía Albizu-Campos, Juliet Bringas, and Harold Polo.

Communication in Algebra 49 (2021) 850-863.

• A Goldbach theorem for Laurent polynomials with positive integer coefficients by Sophia Liao and Harold Polo. American Mathematical Monthly 134 (2024) 704-711.

• On the factorization invariants of arithmetical congruence monoids by Scott T. Chapman, Annabel Ma, Caroline Liu, and Andrew Zhang.

• Arithmetic of semisubtractive semidomains by Hannah Fox, Agastya Goel, and Sophia Liao. Journal of Algebra and Its Applications (Online Ready).    

• Localization of unique factorization semidomains by Victor Gonzalez, Harold Polo, and Pedro Rodriguez. Submitted.  

• Goldbach theorems for groups semidomains by Eddy Li, Advaith Mopuri, and Charles Zhang. Submitted.