Polynomials of small slice rank and strength
with C. Flavi, F. Gesmundo, E. Ventura
arXiv:2509.12322 (2025)
Algebraic surfaces as Hadamard products of curves
with D. Antolini, E. Ballico
arXiv:2502.18813 (2025)
preprint
Postulation for 2-superfat points in the plane
with S. Canino, M. V. Catalisano, A. Gimigliano, M. Idà
arXiv:2501.16849 (2025)
preprint
Hadamard-Hitchcock Decompositions: identifiability and decompositions
with N. Vannieuwenhoven
arXiv:2308.06597 (2023)
preprint
Decomposition loci of tensors
with A. Bernardi, P. Santarsiero
Journal of Symbolic Computation (Special Issue: MEGA 2024), 131:102451 (2025)
journal | computations: computations_decomposition_loci.m2
Non-defectivity of Segre-Veronese varieties
with H. Abo, M. C. Brambilla, F. Galuppi
Proceedings of American Mathematical Society Series B, 11:589-602 (2024)
journal | preprint
On schemes evinced by generalized additive decompositions and their regularity
with A. Bernardi, D. Taufer
J. de Mathématiques Pures et Appliquées, 188:446-469 (2024)
journal | preprint
Identifiability for mixtures of centered Gaussians and sums of powers of quadratics
with A. Casarotti, M. Michałek, A. Taveira Blomenhofer
Bulletin of London Mathematical Society, 55(5):2407-2424 (2023)
journal | preprint
Strength and slice rank of forms are generically equal
with E. Ballico, A. Bik, E. Ventura
Israel Journal of Mathematics, 254(5):275-291 (2023)
journal | preprint
Secant non-defectivity via collisions of fat points
with F. Galuppi
Advances in Mathematics, 409(B):108657 (2022)
journal | preprint | computations: base_cases.m2, numerical_appendix.m2
The set of forms with bounded strength is not closed
with E. Ballico, A. Bik, E. Ventura
Comptes Rendus - Sèrie Mathématique, 306:371-380 (2022)
journal | preprint
On the general strength of polynomials
with A. Bik
Linear and Multilinear Algebra, 70(21):6114-6140 (2022)
journal | preprint
Geometric conditions for strict submultiplicativity of rank and border rank
with A. Bernardi, E. Ballico, F. Gesmundo, E. Ventura
Annali di Matematica Pura e Applicata, 200(1):187-210 (2021)
journal | preprint
On minimal decompositions of low rank symmetric tensors
with B. Mourrain
Linear Algebra and its Applications 607:347-377 (2020)
journal | preprint | computations: apolar_lowrank.m2
On the Hilbert function of general fat points in ℙ1 x ℙ1
with E. Carlini, M. V. Catalisano
Michigan Mathematical Journal 69(3):601-632 (2020)
journal | preprint
The monic rank
with A. Bik, J. Draisma, E. Ventura
Mathematics of Computations 89:2481-2505 (2020)
journal | preprint
Unexpected curves arising from special line arrangements
with M. Di Marca, G. Malara
Journal of Algebraic Combinatorics 51:171-194 (2020)
journal | preprint
Tangential varieties to Segre-Veronese surfaces are never defective
with M. V. Catalisano
Revista Matemàtica Complutense 33:295-324 (2020)
journal | preprint
Partially Symmetric Variants of Comon's Problem via Simultaneous Rank
with F. Gesmundo, E. Ventura
SIAM Journal of Matrix Analysis and Applications 40(4):1453-1477 (2019)
journal | preprint
On generic and maximal k-rank of binary forms
with S. Lundqvist, B. Reznick, B. Shapiro
Journal of Pure and Applied Algebra 223(4):2062-2079 (2019)
journal | preprint
On the quantum periods of del Pezzo surfaces with ⅓(1,1) singularities
with A. Petracci
Advances in Geometry 18(3):303-336 (2018)
journal | preprint
Waring-like decompositions of polynomials - 1
with M. V. Catalisano, L. Chiantini, A. V. Geramita
Linear Algebra and its Applications 533:311-325 (2017)
journal | preprint
Waring loci and Strassen conjecture
with E. Carlini, M. V. Catalisano
Advances in Mathematics 314:630-662 (2017)
journal | preprint
On the real rank of monomials
with E. Carlini, M. Kummer, E. Ventura
Mathematische Zeitschrift 286(1):571-577 (2017)
journal | preprint
Mirror Symmetry and the classification of orbifold del Pezzo surfaces
with M. Akhtar, T. Coates, A. Corti, L. Heubergher, A. Kasprzyck, A. Petracci, T. Prince, K. Tveiten
Proceedings of American Mathematical Society 144:513-527 (2016)
journal | preprint
On a class of power ideals
with J. Backelin
Journal of Pure and Applied Algebra 219(8):3158-3180 (2015)
journal | preprint
Monomial as sum of k-th powers of forms
with E. Carlini
Communications in Algebra 43:659-658 (2015)
journal | preprint
Waring decompositions of special ternary forms with different Hilbert functions
with E. Angelini, L. Chiantini
Deformation of Artinian Algebras and Jordan Types: AMS Contemporary Mathematics (Proceedings of the AMS-EMS-SMF Special Session on Deformations of Artinian Algebras and Jordan Type, held July 18–22, 2022, at the Université Grenoble Alpes, Grenoble, France; eds. A. Iarrobino, P. Macias Marques, M. E. Rossi, J. Vallés) (2024)
volume | preprint
Minkowski sum and Hadamard products of algebraic varieties
with N. Fiedenbrg, R. Williams
Combinatorial Algebraic Geometry (Selected papers from the 2016 Apprenticeship Program; eds. G. G. Smith and B. Sturmfels) AMS Series: Fields Institute Communications (2017)
book | preprint
Ranks of tensors: geometry and applications
with E. Ventura
Bollettino dell'Unione Matematica Italiana, special issue: "A Projective Geometry Landscape", eds. A. Bernardi, C. Fontanari (2025)
journal
The Hitchhikker guide to: secant varieties and tensor decompositions
with A. Bernardi, E. Carlini, M. V. Catalisano, A. Gimigliano
Mathematics (Special issue Decomposability of Tensors, ed. L. Chiantini), 6(12):314 (2018)
journal | preprint
Algebraic stories from one and from the other pocket
with R. Fröberg, S. Lundqvist, B. Shapiro
Arnold Journal of Mathematics 4(2):137-160 (2018)
journal | preprint
Waring-type problems for polynomials: algebra meets geometry
Stockholm University, Faculty of Science, Department of Mathematics (2016)
thesis