Baia del Silenzio (Sestri Levante, Italy)

Alessandro Oneto

(he/his)

Associate Professor @ Università di Trento (Italy)

Short Bio

I obtained my Ph.D. in Mathematics in June 2016 at Stockholm University (Sweden) with a thesis with title Waring-type problems for polynomials in algebraic geometry, under the supervision of Boris Shapiro and Enrico Carlini.

After my graduation, since November 2016, I have been a Postdoctoral Researcher at Inria Sophia Antipolis Méditerranée (France) in the team Aromath, supervised by Bernard Mourrain. In January 2018, I joined the group of Marta Casanellas at Universitat Politècnica de Catalunya in Barcelona (Spain) as a Postdoctoral Fellow of the Barcelona Graduate School of Mathematics. I was awarded Postdoctoral Fellowship of the Alexander von Humboldt Foundation (Germany) that I started in April 2019 by joining the group of Thomas Kahle at OvGU Magdeburg (Germany).

In April 2020, I joined the Università di Trento (Italy) as a tenure-track Assistant Professor (Ricercatore RTD-b). Since April 2023, I am an Associate Professor.

Here you can find my complete CV.

Research interests

My research interests are mostly in Commutative Algebra and Algebraic Geometry. I like to study algebraic geometric models that have relations to problems coming from applied sciences such as the study of tensor decompositions or algebraic statistical models.

Here is the full list of my research works.
Here is a selected list of slides from presentations.

New Events

TiME 2025
Invariant Theory: from classics to modern developments
a school on the shoulders of Cayley and Sylvester
Lie-Strømer Center, Tromsø (Norway), 26-30 May 2025

The school will provide a multifaceted viewpoint on the theory of invariants, tracing its origin to the pioneering works of Cayley and Sylvester, connecting the theory of XIX century and its development through computational algebra, modern algebraic geometry, and applications to other applied sciences.

Teachers: Harm Derksen, Kristin DeVleming, Giorgio Ottaviani, Michael Walter.

Co-organised with: Kathlen Kohn, Ettore Turatti, Pierpaola Santarsiero.
Supported by: Lie-Strømer Center.

For more info on the school: check the webpage.

INABAG Conference 2025
Trento (Italy), 30 June - 2 July 2025

The conference will be the second event of the Italian Network for Applied and Birational Algebraic Geometry (INABAG). The conference wants to gather international experts to present recent achievements as well as discuss future lines of research. The conference will also be an occasion to celebrate the remarkable career and contributions of Sandro Gimigliano, a crucial member and guiding figure of the Network, honouring his 70th birthday.

Co-organised with: Elena Guardo, Pierpaola Santarsiero, Elisa Postinghel.
Supported by: MUR (through PRIN2022 projects), CIRM-FBK, INdAM-GNSAGA.

For more info on the speakers and for registration: check the webpage.

New paper

Decomposition loci of tensors
with A. Bernardi (U. Trento), P. Santarsiero (U. Bologna)
Journal of Symbolic Computation (Special Issue: MEGA 2024), 131 (2025):102451
paper | computations: computations_decomposition_loci.m2

Non-defectivity of Segre-Veronese varieties
with H. Abo (U. Idaho), M. C. Brambilla (U. Politecnica delle Marche), F. Galuppi (U. Warsaw)
Proceedings of American Mathematical Society Series B, 11 (2024): 589-602
paper

New preprints

Algebraic surfaces as Hadamard products of curves
with D. Antolini (U. Trento), E. Ballico (U. Trento)
arXiv:2502.18813 (2025)
preprint

Since February 2024 is online the MultilinearVerse: a dynamical portal unifying the rapidly growing literature on tensors. It aims to serve as a guide through more than one century of algebra, geometry and applied mathematics, and provide the community with a resource to rapidly look up facts and track different relevant references. The project is currently mantained by myself together with Fulvio Gesmundo (PSU Toulouse) and Alessandro Iannone (JAKALA): however, this is at a very early stage and we hope that more people interested in tensors from several different communities will join us in populating the webpage.

Read here if you would like to contribute.

TensorDec Laboratory

Since 2020, the Department of Mathematics of the U. of Trento has a TensorDec Laboratory.

The lab wants to be a recipient of activities, both research and formation. It aims to connect master and graduate students to the different aspects of the topic of tensor decompositions.

If you want to know more about what we do, or to check if we have open positions, visit our webpage or just send me an email!

INABAG Network

I am part of a group of geometers and algebraists based in Italy, whose common research interests lie within the theory of tensors from the commutative algebraic, the birational algebro-geometric, and the applied viewpoints. Our research team cultivates a collaborative atmosphere by means of joint seminars and collective activities (see the "Activities" tab) that foster the growth of its members. We also have a long track record of joint publications.

If you want to know more about our activities or any job offers, check the webpage.

I agree with Federico Ardila axioms on diversity.

Axiom 1
Mathematical talent is distributed equally among different groups, irrespective of geographic, demographic, and economic boundaries.

Axiom 2
Everyone can have joyful, meaningful, and empowering mathematical experiences.

Axiom 3
Mathematics is a powerful, malleable tool that can be shaped and used differently by various communities to serve their needs.

Axiom 4
Every student deserves to be treated with dignity and respect.

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