Felix Gotti

Research Interest

Algebra and Combinatorics: In algebra, I am mostly interested in the study of the phenomenon of non-uniqueness of factorizations into irreducibles in integral domains and atomic monoids using techniques of combinatorics, linear algebra, and number theory. My research in combinatorics focuses on posets and matroids. I am also interested in polyhedral geometry and cluster algebras.

Selected Publications

• Atomic semigroup rings and the ascending chain condition on principal ideals
  (with B. Li)
  Proceedings of the American Mathematical Society, Vol. 151 (2023) 2291-2302.
• Length-factoriality in commutative monoids and integral domains
  (with S. T. Chapman, J. Coykendall, and W. W. Smith)
  Journal of Algebra, Vol. 578 (2021) 186-212.
• On strongly primary monoids, with a focus on Puiseux monoids
  (with A. Geroledinger and S. Tringali)
  Journal of Algebra, Vol. 567 (2021) 310-345.
• Geometric and combinatorial aspects of submonoids of a finite-rank free commutative monoid
  Linear Algebra and Its Applications, Vol. 604 (2020) 146-186.
• Factorizations in upper triangular matrices over information semialgebras
  (with N. R. Baeth)
  Journal of Algebra, Vol. 562 (2020) 466-496.
• On the atomicity of monoid algebras
  (with J. Coykendall)
  Journal of Algebra, Vol. 539 (2019) 138-151.
• Increasing positive monoids of ordered fields are FF-monoids
  Journal of Algebra, Vol. 518 (2019) 40-56.
• Dyck paths and positroids from unit interval orders
  (with A. Chavez)
  Journal of Combinatorial Theory Series A, Vol. 154 (2018) 507-532.

Here is a relatively updated version of my full list of publications.

My research articles can also be found in

• Google Scholar
• ArXiv Repository
• My Orcid Profile

The list of my coauthors

David F. Anderson, Nick R. Baeth, Scott T. Chapman, Anastasia Chavez, Rebecca Conaway, Jyrko Correa-Morris, Jim Coykendall, Alfred Geroldinger, Marly Gotti, Richard E. Hasenauer, Jesse Horton, Bangzheng Li, Chris O'Neill, Roberto Pelayo, Harold Polo, Mesa Pracht, William W. Smith, Salvatore Tringali, Joseph Vulakh, Brian Wissman, and Muhammad Zafrullah.