Felix Gotti

Mentoring

Mentoring is a fundamental part of my academic career. These are the students who have published at least one paper under my supervision: Sofia Albizu-Campos, Alan Bu, Juliet Bringas, Nancy Jiang, Ben Li, Harold Polo, Marcos Tirador, Joseph Vulakh, Alex Zhao, and Sophie Zhu.

MIT PRIMES

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 (to appear).
• Length-factoriality and pure irreducibility
  by A. Bu, J. Vulakh, and A. Zhao
  Communications in Algebra (to appear).

CrowdMath

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
  Submitted.

Further Publications by my Students

• 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.

Here is a relatively updated version of the full list of papers I have supervised.

Awards Earned by my Students

• Ben Li
• 2022 Regeneron STS: Scholar
• Joseph Vulakh
• 2023 Regional Regeneron ISEF: 2nd Place
• Sophie Zhu
• 2022 Regeneron ISEF: 4th Grand Award
• 2022 Regeneron ISEF: 2nd Special Award (from AMS)
• 2023 Regeneron STS: Finalist