Patrizio Frosini

CURRICULUM VITAE OF PATRIZIO FROSINI (short version)

ORCID: 0000-0001-6711-1926
Date of Birth: September 20, 1960
Nationality: Italian

EDUCATION AND PROFESSIONAL EXPERIENCE
1991 – PhD in Mathematics, University of Florence.
1993–2014 – Assistant Professor of Geometry, University of Bologna.
2014–2024 – Associate Professor of Geometry, University of Bologna.
2024–present – Associate Professor of Geometry, University of Pisa.
2019 – National scientific qualification for Full Professor (01/A2 – Geometry and Algebra; valid until September 4, 2030).

ACTIVITY AS A REVIEWER. Referee for many well-known journals, including Advances in Data Analysis and Classification; Applicable Algebra in Engineering, Communication and Computing; Artificial Intelligence Review; Computer Vision and Image Understanding; Computer-Aided Design; Computers & Graphics; Computers & Mathematics with Applications; Discrete & Computational Geometry; Foundations of Computational Mathematics; IEE Proceedings - Vision, Image & Signal Processing; IEEE Transactions on Image Processing; IEEE Transactions on Pattern Analysis and Machine Intelligence; IEEE Transactions on Signal Processing; International Journal of Computer Vision; International Journal of Shape Modeling; Japan Journal of Industrial and Applied Mathematics; Journal of Applied and Computational Topology; Journal of Geometric Analysis; Journal of Mathematical Imaging and Vision; Journal of Pure and Applied Algebra; Nature Machine Intelligence; Pattern Recognition; Pattern Recognition Letters; Topological Methods in Nonlinear Analysis.

Author/coauthor of more than 70 scientific papers
Citations: 1352 (Scopus - 2 May 2025)
h-index: 20 (Scopus - 2 May 2025)
Supervisor of 5 Ph.D. students

RESEARCH INTERESTS. My research primarily focuses on the topological and geometric properties of manifolds and topological spaces equipped with filtering functions taking values in ℝⁿ, particularly in the presence of symmetry groups. In the early 1990s, I introduced and began studying the first theoretical elements of topological data analysis and persistent homology, as acknowledged in Herbert Edelsbrunner's plenary lecture at the 2012 European Congress of Mathematics. For further information on my mathematical contributions in this field, you can consult the online page: Wikipedia – Topological Data Analysis. As of now, Scopus reports over 5,000 documents under the term “topological data analysis” and more than 6,000 under “persistent homology.”
Regarding persistent topology, I am particularly interested in extending the theory in the presence of a subgroup G of the topological group of all homeomorphisms of the space in question, and in studying the natural pseudo-distance associated with G, both for real-valued and vector-valued functions. I introduced and began developing the topological theory of spaces of Group Equivariant Non-Expansive Operators (GENEOs) with respect to groups of homeomorphisms, as well as their application to topological data analysis, machine learning, and artificial intelligence (https://www.nature.com/articles/s42256-019-0087-3). Together with several collaborators, I am currently extending the GENEO framework to graphs (https://www.nature.com/articles/s41598-025-90152-7) and collaborating with various research groups, a major pharmaceutical company, and a large multinational mobile telecommunications company for the application of GENEO theory to deep learning and related areas.

INVITED TALKS AND SEMINARS. I have been invited to deliver approximately 50 presentations at conferences, workshops, webinars, and international meetings, and I have received invitations to give seminars from more than 20 universities and internationally recognized institutions. I have been invited to teach four minicourses at international scientific schools. Additionally, I have served as a member of 15 program/scientific/organizing committees for international workshops, c