My Group

Post Doc

• Hanieh Keneshlou (2022-) (University of Konstanz). In the framework of Konstanzia Fellowship Program (Gender equality in science and studies).

Former Post Doc

• Maciej Gałązka (2024-2025). Post doc of the TensorDec Laboratory, in the framework of PRIN 2022 - Multilinear Algebraic Geometry.

• Tomasz Mańdziuk (2023-2024).

PhD Students

• Oriol Reig Fité (ongoing XL Cycle) (MSC-Doctoral Network, In the frame of Horizon 2020- TENORS fellow)

• Enrica Barrilli (ongoing XL Cycle) (MSC-Doctoral Network, In the frame of Horizon 2020- TENORS fellow)

• Asma Momal (ongoing – XXXIX Cycle) (In the framework of PNRR DM 117: Industrial PhD in collaboration with BlueTensor).

Alumni PhD students

• Vincenzo Galgano (Excellence Program for PhD students of the Mathematical PhD school of Trento). Defended in December 2023. Title of the thesis: Secant varieties of Spinor varieties and of other generalized Grassmannians.
  Papers that are coming out from the thesis:
  - Identifiability and singular locus of secant varieties to spinor varieties, Galgano, V., arXiv:2302.05295.
  - Equivariant Euler characteristics on permutohedral varieties, Galgano, V., Keneshlou, H., Michalek, M., arXiv:2302.04598.
  - Identifiability and singular locus of secant varieties to Grassmannians, Galgano, V., Staffolani, R., arXiv:2212.05811.
  - Graph States and the Variety of Principal Minors, Galgano, V., Holweck, F. AMPA, 2023.
  Followup: (2024-) postdoctoral researcher Max-Planck Institute of Molecular Cell Biology and Genetics (MPI-CBG) in Dresden, Germany. 

• Valentina Amitrano (Quantum@TN PhD program). Defended in 2023, Co-advised with F. Pederiva. Title of the thesis: Digital quantum computing for many-body simulation.
  Followup: (2023-) Pst-doc INFN Ferrara.

• Claudia De Lazzari (Excellence Program for PhD students of the Mathematical PhD school of Trento, Quantum@TN PhD program). Defended in December 2022.  Title of the thesis: Algebraic, geometric and numerical methods for Tensor Network Varieties.
  Papers that came out from the thesis:
  - The Linear Span of Uniform Matrix Product States, De Lazzari, C., J Motwani, H., Seynnaeve, T., SIGMA 18 (2022), 099, 18 pages.
  - Dimension of tensor network varieties, Bernardi, A., De Lazzari, C., Gesmundo, F., Communications in Contemporary Mathematics, 2022, 2250059.
  Followup: (2022- ) CDL is the Quantum Cryptographer - QTI SRL

• Pierpaola Santarsiero. Defended in April 2022. Title of the thesis: Identifiability of small rank tensors and related problems.
  Papers that came out from the thesis:
  - An algorithm for the non-identifiability of rank-3 tensors, Santarsiero, P. BUMI, 2023, 16(3), pp. 595–624.
  - Terracini locus for three points on a Segre variety, Ballico, E., Bernardi, A., Santarsiero, P., arXiv:2012.00574.
  - Identifiability of Rank-3 Tensors, Ballico, E., Bernardi, A., Santarsiero, P., Mediterranean Journal of Mathematics, 2021, 18(4), 174.
  Followup: (2022) PS was Postdoctoral researcher, MPI MiS. (2023) Post-doc University of Osnabrück, Germany. (2024) Post-doc in Bologna.

• Reynaldo Staffonali. Defended on February 2022. Title of the thesis: Schur apolarity and how to use it.
  Papers that came out from the thesis:
  - Schur apolarity, Staffolani, R., JSC, 2023, 114, pp. 37–73.
  - A note on the maximal rank, Bernardi, A., Staffolani, R. European Journal of Mathematics, 2022, 8, pp. 94–100.

Master Students

• Vincenzo Antonio Isoldi.

Alumni

• Jose Enrique Manrique Santillana (2024). Internship at Cancer Center Amsterdam. Perineural Invasion in Pancreatic Cancer: Clinical significance using Multiple and SVD-Based Imputation.

• Simone Patscheider (2023), Geometric Measure of Entanglement via Tensor Decomposition. Master in Mathematics. Internship at Equal1 (Dublin).

• Elena Zordan (2021), Data is the new oil only for the right people: the silent problem of data gap that fosters inequalities (Co-advised. Main advisor: Luigi Amedeo Bianchi). Master in Data Science.

• Martina Iannacito (2019), HOSVD for multispectral images. A numerical approach to plant biodiversity estimation.
  Papers that came out form this thesis:
  - High order singular value decomposition for plant diversity estimation, Bernardi, A., Iannacito, M., Rocchini, D., Bolletino dell Unione Matematica Italiana, 2021, 14(4), pp. 557–591.
  - rasterdiv—An Information Theory tailored R package for measuring ecosystem heterogeneity from space: To the origin and back, Rocchini, D. at al, Methods in Ecology and Evolution, 2021, 12(6), pp. 1093–1102.

• Daniele Taufer (2017): Symmetric Tensor Decomposition (Thesis for the final defense of Galileian School of Higher Education - University of Padova).
  Paper that came out of this thesis:
  - Waring, tangential and cactus decompositions, Bernardi, A., Taufer, D., Journal des Mathematiques Pures et Appliquees, 2020, 143, pp. 1–30.

PEM (Excellence CV)

• Federico Mazzone (2018): Title of the thesis: Il crivello quadratico.

• Lorenzo Barban (2018): Title of the thesis: Sistemi inversi di Macaulay.