Gianmarco La Rosa, Ph.D.

About Me

I am Gianmarco La Rosa, and I hold a Ph.D. in Mathematics and Computational Sciences, awarded on February 26, 2024, by the University of Palermo. During my doctoral studies, I focused on non-commutative and non-associative algebra, particularly Lie and Leibniz algebras.

Current Project

I am currently a research fellow on an industrial project (in collaboration with the Department of Mathematics, University of Palermo) focused on the development of an AI-based decision-support system designed to respond to complex geopolitical and economic queries. My role involves designing and structuring the system's ontology, which is a fundamental component of the architecture.

Nevertheless, I continue my research in algebra and geometry, and recently I have been delving into studies on abstract fuzzy algebra and fuzzy topological spaces.

Education

  • 2024 — Ph.D. in Mathematics and Computational Sciences (Doctor Europaeus), University of Palermo, Palermo, Italy
    Thesis: On nilpotent Leibniz algebras, Lie biderivations, and related topics.
  • 2020 — Master’s Degree in Mathematics (LM-40), University of Palermo, Palermo, Italy
    Final grade: 110/110 cum laude. Thesis: Extensions of Lie algebras.
  • 2018 — Bachelor’s Degree in Mathematics (L-35), University of Palermo, Palermo, Italy
    Final grade: 102/110. Thesis: Modules over principal ideal domains.

Academic Positions

Postdoctoral Research

  • May 2024 – present — Research Fellow, University of Palermo, Palermo, Italy
    Title: Mathematical models for explainable AI using fuzzy ontologies and categorical approaches.

Teaching

  • Feb 2024 – present — Adjunct Professor, University of Palermo, Palermo, Italy
    Teaching Geometry for the Sustainable Development Engineering program.
  • 2021–2022 — University Tutor, University of Palermo
    Courses in Mathematical Analysis and Geometry for engineering programs.
  • 2020–2021 — University Tutor, University of Palermo
    Courses in Geometry and Fundamentals of Mathematics for engineering and optics students.
  • 2019–2020 — University Tutor, University of Palermo
    Exercises for Geometry and Algebra (B.Sc. in Physics).
  • Feb - Nov 2020 — School Tutor, The Math House, Palermo, Italy
    Tutoring in Mathematics and Physics for secondary school and university students.

Visiting Positions

  • Feb–May 2023 — Visiting researcher, City, University of London (UK)
    Supervisor: Prof. Markus Linckelmann. Research focus: Homological Algebra.
  • Oct 2023 — Visiting researcher, University of Szeged (Hungary)
    Hosted by Prof. P. G. Nagy. Research focus: C*-algebras and midpoint operators.

Contact

✉️ gianmarco.larosa@unipa.it
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