Isis A. Gallardo PhD.
I'm an enthusiastic mathematician with passion for nature, art, technology and science.
Biography
My name is Isis A. Gallardo, I was born in Tandil, Buenos Aires, Argentina. Studied a Licenciatura in Mathematics at the Universidad del Centro de la Provincia de Buenos Aires. In 2019 I graduated with a Masters in Mathematics from the New Mexico State University. And in 2024, I obtained a PhD. in Mathematics from the University of Denver.My research focuses on non-classical logic, algebraic logic, universal algebra, topological dualities, and residuated lattices.I have strong interest in machine learning, algorithm design, data science, and quantum computing. My next chapter is to focus on applying the techniques learned during her PhD to data science and quantum coputing.
Portfolio
Isis has experience in several programming languages such as Python, Fortran, R, and Qiskit, as well as technical writing and communications. Some of her work can be found here.
Research
Isis has conducted mathematical research in the areas of algebraic logic, universal algebra, and residuared lattices.
Publications
Distributive ℓ-pregroups: Generation and decidability- N. Galatos, I. Gallardo, Journal of Algebra, Volume 648, 2024, Pages 9-35, ISSN 0021-8693.
Generation and decidability for periodic ℓ-pregroups- N. Galatos, I. Gallardo, Journal of Algebra, Volume 669, 2025,301-340, ISSN 0021-8693.
Weakening relations over duals of limit ordinals- N. Galatos, I. Gallardo, Journal of Pure and Applied Algebra (Under review)
Decidability for weakening relations- N. Galatos, I. Gallardo (On the works)
Conferences and talks
2025: "Decidability and generation for the varieties of periodic l-pregroups", AMS Western Sectional Meeting in Denver.
2025: “Decidabity and generation for varieties of involutive residuated lattices”, Mathematical Congress of the Americas.
2025: "Sobre la decidibilidad y generacion de variedades de l-pregrupos distributivos", UNICEN, NUCOMPA
2025: "Decidability and generation of the variety of distributive l-pregroups", Online Logic Seminar -Southern Illinois University
2024: “Decidability and generation of the variety of distributive l-pregroups”, ASL Annual meeting, Invited Speaker- Algebraic Logic Special Session- Iowa State University
2023: “Algorithm for decidability and generation of l-pregroups”, Logics Seminar, University of Denver.
2018: “Isbell and de Vries dualities for compact Hausdorff spaces”, Algebra Seminar, New Mexico state University.
Teaching
Isis has experience teaching at the University of Denver and New Mexico State University. She has planned, organized, and instructed several subjects including:
College Algebra
College Algebra and Trigonometry
Pre-Calculus
Calculus I
Calculus II
Data & Models with R