I obtained my Ph.D. in Mathematics in June 2016 at Stockholm University (Sweden) under the supervision of Boris Shapiro. From February to May 2015, I visited Enrico Carlini at Monash University (Australia).
After my graduation, I have been from November 2016 to December 2017 a Postdoctoral Researcher at Inria Sophia Antipolis Méditerranée (France) in the team Aromath, supervised by Bernard Mourrain. Between January 2018 and March 2019, I was a Postdoctoral Fellow of the Barcelona Graduate School of Mathematics (BGSMath) in Barcelona (Spain) and I was part of the group of Marta Casanellas at Universitat Politècnica de Catalunya (Spain). From April 2019 to March 2020, I was a Postdoctoral Fellow of the A. v. Humboldt Foundation (Germany) and I was part of the group of Thomas Kahle at OvGU Magdeburg.
Since April 2020, I am an Assistant Professor (Ricercatore RTD-b) at Università di Trento (Italy).
Here you can find my complete CV.
My research interests are mostly in Commutative Algebra and Algebraic Geometry. I like to study geometric models that have relations to problems coming from applied sciences as the study of tensor decompositions or statistical models coming from phylogenetics or machine learning. These involve the study of Hilbert functions of 0-dimensional schemes and fat points, secant varieties of classical projective varieties as Veronese, Segre and Segre-Veronese varieties, apolarity theory and inverse systems.
Here is the full list of my research works.
Here is a selected list of slides from presentations.
Here are some of the problems that I like and I don't know how to solve.
- [June 2020: publication] The paper On minimal decompositions of low rank symmetric tensors with Bernard Mourrain (Inria Sophia Antipolis, France) has been accepted for publication on Linear Algebra and Its Applications.
- [May 2020: preprint] The pre-print On the strength of general polynomials, with Arthur Bik (U. of Bern, Switzerland) is on arXiv.
- [April 2020: publication] The paper Geometric conditions for strict submultiplicativity of rank and border rank, written together with Edoardo Ballico (U. di Trento, Italy), Alessandra Bernardi (U. di Trento, Italy), Fulvio Gesmundo (U. of Copenaghen, Denmark) and Emanuele Ventura (U. of Bern, Switzerland), has been accepted for publication on Annali di Matematica Pura e Applicata.
- [Aprile 2020: position] On April 3rd, I joined the U. di Trento (Italy) as an Assistant Professor (Ricercatore RTD-b).