Mentoring is a fundamental part of my academic career. These are the students who have completed at least one research paper under my supervision: Cecilia Aguilera, Khalid Ajran, Sofia Albizu-Campos, Alan Bu, Juliet Bringas, Andre Hamelberg, Nancy Jiang, Bangzheng Li, Harold Polo, Easton Singer, Marcos Tirador, Joseph Vulakh, Alex Zhao, and Sophie Zhu.

Also, I have co-adviced the dissertations/theses of the following students.

*Harold Polo*

Title:*Arithmetic of Polynomial-Like Semidomains*

PhD Dissertation, 2023.*Pedro A. Rodríguez*

Title:*Subatomicity in Lattice Monoids*

Undergraduate Thesis, 2022.

I have been a research mentor for *MIT PRIMES* during the past three years. Here are some of the papers my PRIMES students have produced under my supervision (in chronological order by completion).

*Factorizations in evaluation monoids of Laurent semirings*

by S. Zhu

Communications in Algebra, Vol. 50 (2022) 2719-2730.*Divisibility in rings of integer-valued polynomials*

by B. Li (with F. Gotti)

New York Journal of Mathematics Vol. 28 (2022) 117–139.*On the primality and elasticity of algebraic valuations of cyclic free semirings*

by N. Jiang, B. Li, and S. Zhu

International Journal of Algebra and Computation Vol. 33 (2023) 197-210.*Length-factoriality and pure irreducibility*

by A. Bu, J. Vulakh, and A. Zhao

Communications in Algebra, Vol. 51 (2023) 3745-3755.

I am currently the Lead Mentor of *CrowdMath*, a free year-long online research program in mathematics, which is open to all high-schoolers and undergrads around the world. Feel free to sign up or get in touch with me if you have any questions. Here is a link to the paper produced during CrowdMath 2022. You can access to the project of CrowdMath 2023 here.

*Factorization in additive monoids of evaluation polynomial semirings*

by K. Ajran, J. Bringas, B. Li, E. Singer, M. Tirador

Communications in Algebra (to appear).

*On the atomic structure of exponential Puiseux monoids and semirings*

by S. Albizu-Campos, J. Bringas, and H. Polo

Communications in Algebra, Vol. 49 (2021) 850-863.*On the set of molecules of numerical and Puiseux monoids*

by M. Gotti and M. Tirador

In: Rings, Monoids, and Module Theory (Eds. A. Badawi and J. Coykendall) Springer Proceedings in Mathematics and Statistics, Vol. 382, Singapore, 2022.*On the set of lengths of Puiseux monoids generated by multiple geometric sequences*

by H. Polo

Communications of the Korean Mathematical Society, Vol. 35 (2020) 1057-1073.

- Shihan Kanungo
- 2023 Spirit of Ramanujan:
*SOR Fellow* - Banzheng Li
- 2022 Regeneron STS:
*Scholar* - Joseph Vulakh
- 2023 Regeneron ISEF:
*3rd Special Award (from AMS)* - Sophie Zhu
- 2022 Regeneron ISEF:
*4th Grand Award* - 2022 Regeneron ISEF:
*2nd Special Award (from AMS)* - 2023 Regeneron STS:
*Finalist*