Keywords
Keywords
Singularities and normality of secant varieties of (pre)homogeneous varieties;
Hilbert schemes of points, secant bundles and Terracini loci;
Subvarieties of Grassmannians, C*-actions and Chow quotients;
Algebraic invariants and orbit closures;
Secant varieties of minimal degree and Scorza varieties;
Tensors in multipersistent homology;
Modeling and data analysis in life sciences (biology, chemistry, physics).
Preprints (5)
"Tensor analysis for lipid transport" , with I. Pellegrinelli, H. Harrington, A. Nadler and M. Lennartz
(2026) arXiv [q-bio.QM]
"On the coupled cluster doubles truncation varieties of four electrons" , with F. Faulstich, E. Neuhaus and I. Portakal
(2026) arXiv [math.AG , physics.chem-ph]
"The GameTheory package for Macaulay2" , with E. Connelly, Z. He, G. Maletto, E. Neuhaus, I. Portakal, H. Tillmann-Morris, C. Zhao
(2025) arXiv [math.AG]
"Discrete signature tensors for persistence landscapes" , with H. Harrington and D. Tolosa
(2025) arXiv [math.AT]
"Secant varieties of generalised Grassmannians"
(2024) arXiv [math.AG]
Publications (4)
"Identifiability and singular locus of secant varieties to spinor varieties"
Communications in Contemporary Mathematics, in press (2025)
journal | arXiv [math.AG]
"Equivariant Euler characteristics on permutohedral varieties" , with H. Keneshlou and M. Michałek
Lefschetz Properties: Current and New Directions, Springer INdAM Series 59, pp. 129–154 (2024)
journal | arXiv [math.AG]
"Identifiability and singular locus of secant varieties to Grassmannians" , with R. Staffolani
Collectanea Mathematica 76, pp. 227–249 (2025)
journal | arXiv [math.AG]
"Graph States and the Variety of Principal Minors", with F. Holweck
Annali di Matematica Pura ed Applicata 203, pp. 273–295 (2024)
journal | arXiv [math.AG , quant-ph]
Surveys (1)
"Some Classical Invariants, from Harmonic Quadruples to Triangle Groups" , with Giorgio Ottaviani
(2026) arXiv
Theses
"Secant varieties of Spinor varieties and of other generalized Grassmannians". Ph.D. thesis (2023) [ here ]
Advisors: Alessandra Bernardi , Giorgio Maria Ottaviani
"Kronecker decomposition of pencils of quadrics and nonabelian apolarity". Master thesis (2020) [ here ]
Advisor: Giorgio Maria Ottaviani
"Teoria di Galois su superfici di Riemann: rivestimenti ramificati e algebre étale". Bachelor thesis (2016) [ here ]
Advisor: Marco Franciosi
Other Notes
Teoria dei campi e teoria di Galois [ note ], course held by Prof. Ilaria Del Corso at Università di Pisa, 2016.