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.
Agates in Warsaw
Together with Jarosław Buczyński, Weronika Buczyńska, and Joachim Jelisiejew, we're organizing the thematic semester AGATES, that will take place between September 12th and December 16th, 2022.
Upcoming activities
- On June 13th, 2022 I'll talk about Identifiability for pairs of ternary forms at Politecnico di Torino.
- Between June 20th and 24th, 2022 I'll attend MEGA 2022 at the Pedagogical University of Krakow.
- Between June 28th and July 2nd, 2022 I'll attend the conference Recent advances in Classical Algebraic Geometry at the Jagellonian University in Krakov.
- Between July 18th and 22nd, 2022 I'll attend the Killing and Weierstrass colloquium, held at Gdańsk University.
- Together with Fulvio Gesmundo and Joachim Jelisiejew, we're organizing a summer school on thensor decompositions. It will take place between September 12th and 16th, 2022 in Warsaw, as part of the AGATES thematic semester.
- Together with Fatemeh Mohammadi and Luca Sodomaco, we're organizing the conference Tensors in statistics, optimization and machine learning, that will take place November 21st and 24th, 2022 in Warsaw, as part of the AGATES thematic semester.
- Between November 27th and December 3rd, 2022 I'll attend the Oberwolfach workshop Subvarieties in projective spaces and their projections.
Past activities
- 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.