Room 5260, University of Warsaw, Faculty of Mathematics, Informatics and Mechanics, Banacha 2, 02-097 Warsaw, Poland.

Email address: galuppi@mimuw.edu.pl. My Orcid is 0000-0001-5630-5389. I'm the principal investigator of the Sonata grant "Tensor rank and its applications to signature tensors of paths", project 2023/51/D/ST1/02363, awarded by the National Science Center, Poland.

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**

- On October 18th, 2024 Pierpaola Santarsiero and I will talk about Rank and symmetries of signature tensors at the seminar Algebraic and combinatorial perspectives in the mathematical sciences.

**Past activities**

- On July 30th, 2024 I gave a talk about Rank and symmetries of signature tensors at the conference MEGA 2024, held at MPI MiS Leipzig.
- On June 26th, 2024 I gave a talk about Signature tensors of paths at Universita Politecnica delle Marche.
- On June 19th, 2024 I gave a talk about Signature tensors of paths at Bologna University.
- On April 9th, 2024 I gave a talk about Signature tensors of paths at the Dioscuri Centre in Topological Data Analysis in Warsaw.
- On March 14th, 2024 I gave a seminar about identifiability of pairs of polynomials at the University of Warsaw.
- On February 13th, 2024 I gave a talk about Tensor eigenvalues at the conference Algebraic Geometry in Ferrara.
- On September 1st, 2023 I talked at the workshop Structural aspects of signatures and rough paths, at the Center for advanced studies in Oslo.
- On July 19th, 2023 I talked about Ranks of some reducible forms at Trento University.
- Together with Kaie Kubjas, Pierpaola Santarsiero and Nick Vannieuwenhoven, we organized the minisymposium Tensors in applications during the SIAM Conference on Applied Algebraic Geometry. It took place on July 12th-13th, 2023 at the Eindhoven University of Technology.
- On July 10th, 2023 I gave a talk about partially symmetric rank of reducible forms at the SIAM AG minisymposium Tensors in algebraic geometry, at the Eindhoven University of Technology.
- 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.