Welcome!
I am a mathematician working in Algebraic Geometry and Commutative Algebra, with a focus on the study of tensors from both theoretical and applied perspectives. I am passionate about teaching and finding new ways to engage students during my lectures. I am also committed to mentoring young researchers and helping them develop their skills and reach their full potential, and I take part in outreach activities that promote mathematics to a wider audience.
I agree with Federico Ardila's axioms on diversity.
I try to implement them in my daily life as a mathematician, teacher, and mentor:
- Mathematical talent is distributed equally among different groups, irrespective of geographic, demographic, and economic boundaries.
- Everyone can have joyful, meaningful, and empowering mathematical experiences.
- Mathematics is a powerful, malleable tool that can be shaped and used differently by various communities to serve their needs.
- Every student deserves to be treated with dignity and respect.
A call to action addressing the challenges posed by the use of artificial intelligence in mathematical research.
A declaration written by 25 Fields Medalists in the aftermath of the announcement by OpenAI of the solution of the Navier-Stokes problem.
Where I will be
- October 1st, 2026
I will be giving a seminar at the U. of Nice, France. - November 27th - 29th, 2026
I will be a speaker at the TENORS Doctoral Days at the U. of Florence, Italy. This is one of the events of the TENORS MSC Doctoral Network. - July 19th - 23rd, 2027
I am part of the Program Committee of the SIAM Conference on Applied Algebra and Geometry at the U. of Osnabrück, Germany.
News
- September 21st, 2026
The paper Hadamard ranks of algebraic varieties coauthored with Dario Antolini and Guido Montúfar has been accepted for publication in the SIAM Journal on Applied Algebra and Geometry. - May 7th, 2026
Together with Pierpaola Santarsiero and Ettore Teixeira Turatti, we posted the preprint entitled On Waring rank jumps via critical rank-one approximations. - April 1st, 2026
Together with Dario Antolini and Edoardo Ballico, we posted the preprint entitled Finiteness of Hadamard ranks. - March 18th, 2026
The paper Algebraic surfaces as Hadamard products of curves coauthored with Dario Antolini and Edoardo Ballico appeared on Journal of Algebra - March 11th, 2026
The paper Hadamard-Hitchcock Decompositions: identifiability and decompositions coauthored with Nick Vannieuwenhoven appeared online on Mathematics of Computation. - December 31st, 2025
I started my new job at the University of Genova. - September 15th, 2025
Together with Cosimo Flavi, Fulvio Gesmundo and Emanuele Ventura, we posted the preprint entitled Polynomials of small slice rank and strength.
MultilinearVerse Project
Launched in February 2024, MultilinearVerse is a dynamical portal designed to unify the rapidly growing literature on tensors. It serves as a guide through more than one century of algebra, geometry and applied mathematics, providing the community with a resource to rapidly look up facts and track different relevant references.
This is an ambitious resource at an early stage, currently maintained by myself together with Fulvio Gesmundo (U. Toulouse) and Alessandro Iannone (JAKALA). We welcome contributions from the community to help populate and expand the database.
If you want to know more or join the project, please contact me.
INABAG Network
I am part of the Italian Network for Applied and Birational Algebraic Geometry, a group of geometers and algebraists based in Italy, whose common research interests lie within the theory of tensors from the perspective of commutative algebra, algebraic geometry and birational geometry, with a view towards applications.
Our research team cultivates a collaborative atmosphere by means of joint seminars, conferences and collective activities that foster the growth of its members. We have a long track record of joint publications and successful fundraising initiatives to support our activities and young researchers.
Discover more about the network at this link.