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RESEARCH

In my research I exploit techniques coming from algebraic geometry, non-linear algebra and metric algebraic
geometry to tackle multilinear algebra related problems. From a purely tensor perspective, I am
particularly interested in the identifiability problem for tensor decomposition and in the structure of the
points forming a decomposition. More generally, I enjoy using multilinear algebra methods to tackle
problems in different applications.

PREPRINTS AND PUBLICATIONS

If you need access to one of my articles, feel free to contact me.

  1. Rank and symmetries of signature tensors, arXiv:2407.20405 (2024), submitted. with F. Galuppi. â€‹

  2. Decomposition loci of tensors, arXiv:2407.18138 (2024), Journal of Symbolic Computation (Accepted for publication) With A. Bernardi and A. Oneto (supplementary material here).

  3. Degree of the subspace variety, Collect. Math., 1-17 (2024). With P. Breiding.

  4. Geometry of first nonempty Terracini loci, arXiv:2311.09067 (2023), Communications in Contemporary Mathematics (Accepted for publication). With F. Galuppi, D. A. Torrance and E. Teixeira Turatti (supplementary material here).

  5. Decomposing tensor spaces via path signatures, J. Pure Appl. Algebra, 229(1), 107807 (2025). With C. Améndola, F. Galuppi, Á. D. Ríos Ortiz and T. Seynnaeve (supplementary material here).

  6. The symmetric geometric rank of symmetric tensors. arXiv: 2303.17537 (2023), submitted. With J. Lindberg.

  7. Average degree of the essential variety, La Matematica 3, 753–776, 2024. With P. Breiding, S. Fairchild and E. Shehu, (supplementary material here).

  8. An algorithm for the non-identifiability of rank-3 tensors. Boll Unione Mat Ital,16, 595–624 (2023). (code implementation here)

  9. Terracini locus for three points on a Segre variety. Asian J.Math., 27(3) (2023). With E. Ballico and A. Bernardi.

  10. Identifiability of Rank-3 tensors. Mediterr. J. Math. 18, 174 (2021).With E. Ballico and A. Bernardi.

RECENT TALKS

  • 01/2025 Decomposition loci of tensors, Royal Spanish Mathematical Society’s 7th Congress of Young Researchers, Bilbao, Spain.

  • 01/2025 On the Terracini locus of a variety, Algebra and Geometry seminar, Università di Bologna, Bologna, Italy.

  • 11/2024 Degree of subspace varieties, IMPANGA seminar, IMPAN, Warsaw, Poland.

  • 11/2024 Rank and symmetries of signature tensors, NUMA seminar, KU Leuven, Leuven, Belgium.

  • 07/2024 Degree of subspace varieties, MEGA2024, Leipzig, Germany.

  • 07/2024 An algebraic perspective on signature tensors, Kick-off meeting of the INABAG research group, Torino, Italy.

  • 06/2024 A geometric perspective on condition numbers for tensor decomposition, II Meeting UMI for doctoral students, Napoli, Italy.​

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