Curriculum Vitae

Education

  • University of Florida, FL, US
  • University of California, Berkeley, CA, US
  • Berkeley City College, CA, US

Publications

  1. Arithmetic of additively reduced monoid semidomains (with S. T. Chapman). Semigroup Forum (to appear) (pdf)
  2. On the arithmetic of polynomial semidomains (with F. Gotti). Forum Mathematicum (to appear). (pdf)
  3. On the subatomicity of polynomial semidomains (with F. Gotti). Proceedings of the Conference on Rings and Polynomials 2021, Graz (to appear). (pdf) (doi)
  4. A characterization of finite factorization positive monoids. Communications of the Korean Mathematical Society, Vol. 37 (2022) 669–679. (pdf) (doi)
  5. Factorization invariants of the additive structure of exponential Puiseux semirings. Journal of Algebra and Its Applications, Vol. 22 (2023) 2350077. (pdf) (doi)
  6. Approximating length-based invariants in atomic Puiseux monoids. Algebra and Discrete Mathematics, Vol. 33 (2022) 128–139. (pdf) (doi)
  7. On the atomic structure of exponential Puiseux monoids and semirings (with S. Albizu-Campos and J. Bringas). Communications in Algebra, Vol. 49 (2021) 850–863. (pdf) (doi)
  8. On the sets of lengths of Puiseux monoids generated by multiple arithmetic sequences. Communications of the Korean Mathematical Society, Vol. 35 (2020) 1057–1073. (pdf) (doi)

Preprints

  1. Tiling and matroids on the lattice points of a regular simplex (with F. Gotti). (pdf)

Selected Talks

  • Additively Reduced Semidomains, Fall Southeastern Sectional Meeting of the AMS, University of Tennessee at Chattanooga, 2022.
  • Power series with nonnegative integer coefficients: a negative example of positive coefficients, Algebra Seminar, University of Florida, 2022
  • On the Arithmetic of Polynomial Semidomains, International Meeting on Numerical Semigroups, Rome, Italy, 2022
  • Localization and atomic domains, Algebra Seminar, University of Havana, Cuba, 2022
  • Polynomial Semidomains, Spring Western Sectional Meeting of the AMS (online), 2022
  • Exponential Puiseux Semirings, Conference on Rings and Polynomials, Graz, Austria 2021
  • Categories, Functors, and Natural Transformations, University of Florida, 2020
  • Abstract Varieties, Algebraic Geometry Seminar, University of Florida, 2019
  • Tiling Matroids, Combinatorics Seminar, University of Florida, 2018
  • Lower Binomials, Joint Mathematics Meeting, 2018
  • Steinitz’ Theorem for 3-Polytopes, Hot Topics in Mathematics, UC Berkeley, 2017
  • Approximating Roots using Lower Binomials, MSRI, 2017
  • Generic Monomial Ideals and Cellular Resolutions, Seminar on Combinatorial Commutative Algebra, UC Berkeley, 2017

Awards and Honors

  • University of California President’s Postdoctoral Fellow
  • CAM Summer Research Fellowship (University of Florida)
  • Graduate Alumni Fellowship (University of Florida)
  • Board of Education Summer Fellowship (University of Florida)
  • UC Berkeley Transfer Scholarship
  • Bernard Osher Foundation Scholarship

Journals Refereed

  • Aequationes Mathematicae
  • AIMS Mathematics
  • Communications in Algebra
  • Discussiones Mathematicae, General Algebra and Applications
  • Involve
  • Reviewer for Mathematical Reviews