Prof. Dr. Alessandro Oneto

Profile

Academic positionLecturer, Assistant Professor, Researcher
Research fieldsAlgebra, Theory of Numbers, Algebraic Geometry,Mathematical and Applied Statistics
KeywordsRestricted Boltzmann Machines, Defective varieties, Statistical algebraic models, Tensor decompositions, Hadamard products

Current contact address

CountryItaly
CityPovo di Trento
InstitutionUniversita degli Studi di Trento
InstituteDepartment of Mathematics

Host during sponsorship

Prof. Dr. Thomas KahleInstitut für Algebra und Geometrie (IAG), Otto-von-Guericke-Universität Magdeburg, Magdeburg
Start of initial sponsorship01/04/2019

Programme(s)

2017Humboldt Research Fellowship Programme for Postdocs

Publications (partial selection)

2021Ballico, E. and Bernardi, A. and Gesmundo, F. and Oneto, A. and Ventura, E.: Geometric conditions for strict submultiplicativity of rank and border rank. In: Annali di Matematica Pura ed Applicata, 200, 2021, 187-210
2021Bik, A. and Oneto, A.: On the strength of general polynomials. In: Linear and Multilinear Algebra, 2021,
2020Mourrain, B. and Oneto, A.: On minimal decompositions of low rank symmetric tensors. In: Linear Algebra and Its Applications, 607, 2020, 347-377
2020Carlini, E. and Catalisano, M.V. and Oneto, A.: On the hilbert function of general fat points in P1 × P1. In: Michigan Mathematical Journal, 69, 2020, 601-632
2020Catalisano, M.V. and Oneto, A.: Tangential varieties of Segre–Veronese surfaces are never defective. In: Revista Matematica Complutense, 33, 2020, 295-324
2020Bik, A. and Draisma, J. and Oneto, A. and Ventura, E.: The monic rank. In: Mathematics of Computation, 89, 2020, 2481-2505
2019Lundqvist, S. and Oneto, A. and Reznick, B. and Shapiro, B.: On generic and maximal k-ranks of binary forms. In: Journal of Pure and Applied Algebra, 223, 2019, 2062-2079
2019Gesmundo, F. and Oneto, A. and Ventura, E.: Partially symmetric variants of Comon's problem via simultaneous rank. In: SIAM Journal on Matrix Analysis and Applications, 40, 2019, 1453-1477
2019Di Marca, M. and Malara, G. and Oneto, A.: Unexpected curves arising from special line arrangements. In: Journal of Algebraic Combinatorics, 2019,
2018Oneto, A. and Petracci, A.: On the quantum periods of del Pezzo surfaces with 1/3 (1, 1) singularities. In: Advances in Geometry, 18, 2018, 303-336
2018Bernardi, A. and Carlini, E. and Catalisano, M.V. and Gimigliano, A. and Oneto, A.: The Hitchhiker guide to: Secant varieties and tensor decomposition. In: Mathematics, 6, 2018,
2017Friedenberg, N. and Oneto, A. and Williams, R.L.: Minkowski sums and hadamard products of algebraic varieties. In: Fields Institute Communications, 80, 2017, 133-157
2017Carlini, E. and Kummer, M. and Oneto, A. and Ventura, E.: On the real rank of monomials. In: Mathematische Zeitschrift, 286, 2017, 571-577
2017Carlini, E. and Catalisano, M.V. and Oneto, A.: Waring loci and the Strassen conjecture. In: Advances in Mathematics, 314, 2017, 630-662
2017Catalisano, M.V. and Chiantini, L. and Geramita, A.V. and Oneto, A.: Waring-like decompositions of polynomials, 1. In: Linear Algebra and Its Applications, 533, 2017, 311-325
2016Akhtar, M. and Coates, T. and Corti, A. and Heuberger, L. and Kasprzyk, A. and Oneto, A. and Petracci, A. and Prince, T. and Tveiten, K.: Mirror symmetry and the classification of orbifold del pezzo surfaces. In: Proceedings of the American Mathematical Society, 144, 2016, 513-527
2015Carlini, E. and Oneto, A.: Monomials as Sums of k th-Powers of Forms. In: Communications in Algebra, 43, 2015, 650-658
2015Backelin, J. and Oneto, A.: On a class of power ideals. In: Journal of Pure and Applied Algebra, 219, 2015, 3158-3180