2026 Giorgio Ottaviani: Mathematics Researcher – H-Index, Publications & Awards

Overview

Giorgio Ottaviani is affiliated with the University of Florence in Italy and has contributed extensively to the fields of Mathematics and Computer Science. Their research spans multiple subfields including Computational Theory and Mathematics, Computational Mathematics, Geometry and Topology, Algebra and Number Theory, and Numerical Analysis.

Their main areas of focus encompass the following topics:

Tensor decomposition and applications
Polynomial and algebraic computation
Matrix Theory and Algorithms
Commutative Algebra and Its Applications
Algebraic Geometry and Number Theory
Advanced Optimization Algorithms Research
Advanced Numerical Analysis Techniques

Ottaviani has published in several academic venues. The primary publication outlets include:

arXiv (Cornell University)
Florence Research (University of Florence)
Rendiconti del Circolo Matematico di Palermo Series 2
Advances in Applied Mathematics
Acta Mathematica Vietnamica

Significant papers by Giorgio Ottaviani include:

Asymptotics of degrees and ED degrees of Segre products, 2021, Advances in Applied Mathematics
The distance function from a real algebraic variety, 2020, Florence Research (University of Florence)
The Hessian Map, 2020, International Mathematics Research Notices
Taylor Polynomials of Rational Functions, 2023, Acta Mathematica Vietnamica
Tensors with eigenvectors in a given subspace, 2021, Florence Research (University of Florence)

The scientist has collaborated with several researchers on multiple occasions. Frequent co-authors include:

Ettore Teixeira Turatti
Luca Sodomaco
Ciro Ciliberto
Aldo Conca
Simone Naldi

Best Publications

The Euclidean Distance Degree of an Algebraic Variety

Jan Draisma;Emil Horobeţ;Giorgio Ottaviani;Bernd Sturmfels

240
Citations
Induction for secant varieties of Segre varieties

Hirotachi Abo;Giorgio Ottaviani;Chris Peterson

172
Citations
Spinor bundles on quadrics

Giorgio Ottaviani

171
Citations
On the Alexander–Hirschowitz theorem

Maria Chiara Brambilla;Giorgio Ottaviani

165
Citations
On Generic Identifiability of 3-Tensors of Small Rank

Luca Chiantini;Giorgio Ottaviani

162
Citations
Equations for secant varieties of Veronese and other varieties

J. M. Landsberg;Giorgio Ottaviani

154
Citations
Eigenvectors of tensors and algorithms for Waring decomposition

Luke Oeding;Giorgio Ottaviani

138
Citations
AN ALGORITHM FOR GENERIC AND LOW-RANK SPECIFIC IDENTIFIABILITY OF COMPLEX TENSORS ∗

Luca Chiantini;Giorgio Ottaviani;Nick Vannieuwenhoven

109
Citations
LAPLACE EQUATIONS AND THE WEAK LEFSCHETZ PROPERTY

Emilia Mezzetti;Rosa M. Mir;Giorgio Ottaviani

93
Citations
New Lower Bounds for the Border Rank of Matrix Multiplication

J. M. Landsberg;Giorgio Maria Ottaviani

91
Citations
Some extensions of horrocks criterion to vector bundles on Grassmannians and quadrics

Giorgio Ottaviani

87
Citations
On generic identifiability of symmetric tensors of subgeneric rank

Luca Chiantini;Giorgio Ottaviani;Nick Vannieuwenhoven

82
Citations
Syzygies of Veronese Embeddings

Giorgio Ottaviani;Raffaella Paoletti

80
Citations
The Number of Singular Vector Tuples and Uniqueness of Best Rank-One Approximation of Tensors

Shmuel Friedland;Giorgio Ottaviani

79
Citations
On the typical rank of real binary forms

Pierre Comon;Giorgio Ottaviani

78
Citations
Refined methods for the identifiability of tensors

Cristiano Bocci;Luca Chiantini;Giorgio Ottaviani

75
Citations
On 3-folds in $\mathbb {P}^5$ which are scrolls

Giorgio Ottaviani

65
Citations
Stability of special instanton bundles on ²ⁿ⁺¹

Vincenzo Ancona;Giorgio Ottaviani

59
Citations
The Euclidean distance degree of an algebraic variety

Jan Draisma;Emil Horobet;Giorgio Ottaviani;Bernd Sturmfels

24
Citations
Stability of Special Instanton Bundles on ℙ 2n + 1

Vincenzo Ancona;Giorgio Ottaviani

14
Citations

Frequent Co-Authors

Joseph M. Landsberg Texas A&M University

Bernd Sturmfels Max Planck Institute for Mathematics in the Sciences

Stefano Mancini University of Camerino

Pierre Comon Grenoble Alpes University

Shmuel Friedland University of Illinois at Chicago

Andrew J. Sommese University of Notre Dame

Bernard Mourrain French Institute for Research in Computer Science and Automation - INRIA

External Links

Personal website of Giorgio Ottaviani

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