Talks & Career

Career

• Postgraduate Fellowship in Geometry and Mathematical Physics, SISSA, Trieste (Italy), April 2021 - July 2021
• Master’s degree in Mathematics,University of Trieste, Trieste (Italy), 2017-2020
• Bachelor’s degree in Mathematics, University of Trieste, Trieste, Italy, 2014-2017
• Erasmus program at “UCL: Univ. Catholique de Louvain-La-Neuve”, Louvain-la-Neuve, Belgium, Sept. 2017- Feb. 2017
• Diploma of Perito Chimico, Istituto Superiore Statale “Giorgi-Fermi”, Treviso (Italy), 2009-2014

University Projects and Thesis

Bachelor Thesis: Introduzione alla Teoria delle Perturbazioni di Sistemi Hamiltoniani Autonomi

• Reminder on symplectic geometry and its relation with Hamiltonian systems.
• Liouville-Arnol’d Theorem and its consequences.
• Introduction to perturbation theory with a focus on Poincaré’s negative results.
• Summary of the historical contrast between ergotic theory and perturbation theory in relation to Fermi’s computational experiments.
• KAM Theorem and its similarities with Liouville-Arnol’d Theorem.

Master Thesis: Singular Solutions of Rolling Balls Model: a Topological View

• Lie groups and semisimple Lie algebras classification with a focus on the G_2 group.
• Division algebras: quaternions and their relations with the rotation of the three dimensional space; the octonions and their split form.
• The group G_2 as automorphism group of octonions and split octonions as conseguence of the Lie group classification.
• Sub-Riemannian geometry and singular solutions in relation to the rolling balls problem.
• Overview on the most recent results: relations between the model and quaternions, octonions and the G_2 group.
• Presentation of the research work’s results: description of the geometric spaces of singular solutions, their topological properties and their relation with lens spaces.

Attended Conferences and Schools

• From Statistical Physics to Random Geometry, SISSA Trieste, September 2023
• High Dimensional Statistics and Random Matrices, Porquerolles, Jun 15, 2023
• Random Matrices, Random Graphs and Statistical Physics for Machine Learning and Inference, ICTP Trieste (Italy) 16 / 05 / 2022 20/05/2022

Seminars (Speaker)

• “Singular Solutions of Rolling Balls Problem”, Geometric Structures Seminars, January 12, 2021, SISSA, Trieste, Italy
• “Singular Solutions of Rolling Balls Problem”, Geometry and Dynamical System Seminar, UPC, Barcelona, Spain, April 19/2021

Work Experience

• Exerciser of Geometria 1 (Linear Algebra), Università degli Studi di Trieste, October 2019- January 2020, Trieste (Italia)
• Exerciser of Geometria 3B (Topology), Universita’ degli Studi di Trieste, March 2019- June 2019, Trieste (Italia)
• Exerciser of Analisi 1 (Calculus), Università degli Studi di Trieste, October 2018- January 2019 Trieste (Italia)