My background is in complex algebraic geometry. I have been working on the geometry of tensor decompositions and its relations with the study of secant varieties. Essentially, the tools we used come from projective and birational geometry. Tensors are very versatile objects that don’t appear only in math. In many applied sciences, important families of tensors naturally arise. I use a geometric approach to study their structure and the information they carry. I like to interact with mathematicians with different backgrounds than mine, and explore applications of my expertise.

Upcoming activities

• Together with Kaie Kubjas, Pierpaolo Santarsiero and Nick Vannieuwenhoven we're organizing the minisymposium Tensors in applications during the SIAM Conference on Applied Algebraic Geometry, held at the Eindhoven University of Technology between July 10th and 14th, 2023.
• Between August 28th and September 1st, 2023 I'll give a talk at the workshop Structural aspects of signatures and rough paths, held at the Center for advanced studies in Oslo.

Past activities

• On January 9th, 2023 I gave a talk about the Geometry of signature tensors at the workshop Interfaces: Probabilistic methods, Signatures, Cubature and Geometry at York University.
• The thematic semester AGATES has come to an end. Together with Weronika Buczyńska, Jarosław Buczyński and Joachim Jelisiejew we organized a one-semester program on tensor and their applications, with spcific workshops devoted to secant varieties, quantum physics, complezity theory, statistics, optimization, machine learning and deformation theory.
• On December 2nd, 2022 I gave a talk about Schemes of eigenpoints in the plane at the Oberwolfach workshop Subvarieties in projective spaces and their projections.
• On July 27th, 2022 I gave a talk about Defectivity of Segre-Veronese varieties at the Applied algebraic geometry seminars, at Bologna University.
• On July 19th, 2022 I gave a talk about Identifiability of ternary forms at the Killing and Weierstrass colloquium, held at Gdańsk University.
• Between June 28th and July 2nd, 2022 I attended Recent Advances in Classical Algebraic Geometry at the Jagellonian University in Krakow.
• Between June 20th and 24th, 2022 I attended MEGA 2022 at the Pedagogical University of Krakow.
• On June 13th, 2022 I gave a talk about Identifiability for pairs of ternary forms at Politecnico di Torino.
• On May 5th, 2022 I gave a talk about Schemes of tensor eigenvectors at Warsaw University.
• On March 4th, 2022 I gave a talk about Identifiability of pairs of polynomials at IMPANGA, at IM PAN Warsaw.
• On November 4th, 2021 I gave a talk about Defectivity of Segre-Veronese varieties at the University of Warsaw.
• On October 14th, 2021 I gave a talk about defectivity of Segre-Veronese varieties at the workshop Tensor days at IM PAN Warsaw.