Felix Gotti

News

Congratulations to my youngest PRIMES student Shihan Kanungo for becoming one of the few recipients of the 2023 Spirit of Ramanujan Fellowship.

Congratulations to my PRIMES student Sophie Zhu for getting into Harvard University, where she plans to pursue a major in pure mathematics starting in the Fall of 2023.

Congratulations to my mentee Cecilia Aguilera for getting accepted to UC Berkeley, where she will pursue a major in applied mathematics starting in the Fall of 2023.

Congratulations to Dr. Harold Polo for the wonderful defense of his PhD Thesis. Harold will be a President's Postdoctoral Fellow at UC Irvine starting on September 2023.

Congratulations to my PRIMES student Sophie Zhu for becoming a Finalist in the 2023 Regeneron Science Talent Search (Regeneron STS), the oldest science competition in the US.

Congratulations to my PRIMES student Joseph Vulakh for winning a 3rd Prize from AMS in the 2023 Regeneron International Science and Engineering Fair (Regeneron ISEF), the world’s largest pre-college STEM competition.

Advising and Mentoring

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.

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 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.

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
Communications in Algebra (to appear).

Further Publications I Have Supervised

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

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