Giorgio Ottaviani

Computational Theory and Mathematics · 2006–2015

A researcher in the Science corpus: 10 papers; trusts 18 researchers and is trusted by 17 researchers here, as inferred from the citation graph.

Subfields

• Computational Theory and Mathematics — 31 citations into it; #2,598 of 12,182 by trust here, #2,351 by citations
• Computational Mathematics — 30 citations into it; #75 of 612 by trust here, #102 by citations
• Geometry and Topology — 23 citations into it; #1,566 of 7,422 by trust here, #1,739 by citations
• Algebra and Number Theory — 18 citations into it
• Computational Mechanics — 14 citations into it
• Signal Processing — 12 citations into it
• Statistical and Nonlinear Physics — 6 citations into it
• Artificial Intelligence — 5 citations into it

Whom Giorgio Ottaviani trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Maria Chiara Brambilla
2. C. Ciliberto
3. Luca Chiantini
4. J. M. Landsberg
5. Massimiliano Di Mella
6. Hirotachi Abo
7. Bernd Sturmfels
8. Mariano Gasca
9. Jan Draisma
10. Pierre Comon

Who trusts Giorgio Ottaviani overall

1. Luca Chiantini
2. Alessandra Bernardi
3. Hirotachi Abo
4. Bruce Reznick
5. Igor Dolgachev
6. Jan Draisma
7. Pierre Comon
8. Edoardo Ballico
9. Nick Vannieuwenhoven
10. Enrico Carlini

Papers from Giorgio Ottaviani's perspective

Ordered by how strongly the researchers Giorgio Ottaviani trusts endorse each paper. Same corpus, a different order for every researcher.

1. Weakly defective varieties
2. Induction for secant varieties of Segre varieties
3. Symmetric Tensors and Symmetric Tensor Rank (SIAM Journal on Matrix Analysis and Applications)
4. On the Alexander–Hirschowitz theorem
5. Geometric Aspects of Polynomial Interpolation in More Variables and of Waring’s Problem
6. Tensor Decompositions and Applications
7. Tensors: Geometry and Applications
8. Power Sums, Gorenstein Algebras, and Determinantal Loci
9. Algebraic Statistics for Computational Biology: Preface
10. Identifiability of parameters in latent structure models with many observed variables

Their papers

• On the Alexander–Hirschowitz theorem (2007) — 165 citations
• Induction for secant varieties of Segre varieties (2006) — 172 citations
• Equations for secant varieties of Veronese and other varieties (2011) — 149 citations
• An Invariant Regarding Waring’s Problem for Cubic Polynomials (2007) — 49 citations
• On generic identifiability of symmetric tensors of subgeneric rank (2015) — 97 citations
• Laplace Equations and the Weak Lefschetz Property (2011) — 87 citations
• Non-defectivity of Grassmannians of planes (2009) — 47 citations
• Homotopy techniques for tensor decomposition and perfect identifiability (2014) — 50 citations
• Refined methods for the identifiability of tensors (2013) — 69 citations
• On the typical rank of real binary forms (2009) — 80 citations