Giorgio Ottaviani

2.7k total citations
65 papers, 1.1k citations indexed

About

Giorgio Ottaviani is a scholar working on Geometry and Topology, Computational Theory and Mathematics and Computational Mathematics. According to data from OpenAlex, Giorgio Ottaviani has authored 65 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 38 papers in Geometry and Topology, 28 papers in Computational Theory and Mathematics and 24 papers in Computational Mathematics. Recurrent topics in Giorgio Ottaviani's work include Algebraic Geometry and Number Theory (30 papers), Tensor decomposition and applications (24 papers) and Polynomial and algebraic computation (20 papers). Giorgio Ottaviani is often cited by papers focused on Algebraic Geometry and Number Theory (30 papers), Tensor decomposition and applications (24 papers) and Polynomial and algebraic computation (20 papers). Giorgio Ottaviani collaborates with scholars based in Italy, United States and France. Giorgio Ottaviani's co-authors include Luca Chiantini, J. M. Landsberg, Vincenzo Ancona, Maria Chiara Brambilla, Hirotachi Abo, Chris Peterson, Luke Oeding, Bernd Sturmfels, Rekha R. Thomas and Jan Draisma and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Transactions of the American Mathematical Society and Pacific Journal of Mathematics.

In The Last Decade

Giorgio Ottaviani

60 papers receiving 1.0k citations

Peers

Giorgio Ottaviani
Luca Chiantini Italy
Peter Bürgisser Germany
Christopher J. Hillar United States
Anthony V. Geramita Canada
Chris Peterson United States
Bruce Reznick United States
Vadim Olshevsky United States
Georg Heinig Kuwait
Olga Holtz United States
Lorenzo Robbiano Italy
Luca Chiantini Italy
Giorgio Ottaviani
Citations per year, relative to Giorgio Ottaviani Giorgio Ottaviani (= 1×) peers Luca Chiantini

Countries citing papers authored by Giorgio Ottaviani

Since Specialization
Citations

This map shows the geographic impact of Giorgio Ottaviani's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Giorgio Ottaviani with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Giorgio Ottaviani more than expected).

Fields of papers citing papers by Giorgio Ottaviani

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Giorgio Ottaviani. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Giorgio Ottaviani. The network helps show where Giorgio Ottaviani may publish in the future.

Co-authorship network of co-authors of Giorgio Ottaviani

This figure shows the co-authorship network connecting the top 25 collaborators of Giorgio Ottaviani. A scholar is included among the top collaborators of Giorgio Ottaviani based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Giorgio Ottaviani. Giorgio Ottaviani is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Ottaviani, Giorgio, et al.. (2024). Generalized identifiability of sums of squares. Journal of Algebra. 661. 641–656.
2.
Ottaviani, Giorgio. (2022). The Critical Space for Orthogonally Invariant Varieties. Florence Research (University of Florence).
3.
Ottaviani, Giorgio, et al.. (2021). Tensors with eigenvectors in a given subspace. Florence Research (University of Florence). 2 indexed citations
4.
Ottaviani, Giorgio, et al.. (2020). The distance function from a real algebraic variety. Florence Research (University of Florence). 5 indexed citations
5.
Hauenstein, Jonathan D., Luke Oeding, Giorgio Ottaviani, & Andrew J. Sommese. (2019). Homotopy techniques for tensor decomposition and perfect identifiability. Florence Research (University of Florence). 19 indexed citations
6.
Fløystad, Gunnar, et al.. (2018). The Chow form of the essential variety in computer vision. Florence Research (University of Florence). 6 indexed citations
7.
Blekherman, Grigoriy, et al.. (2018). On real typical ranks. Institutional Research Information System (Università degli Studi di Trento). 9 indexed citations
8.
Drusvyatskiy, Dmitriy, et al.. (2017). THE EUCLIDEAN DISTANCE DEGREE OF ORTHOGONALLY \nINVARIANT MATRIX VARIETIES. Florence Research (University of Florence). 16 indexed citations
9.
Landsberg, J. M. & Giorgio Ottaviani. (2015). . Theory of Computing. 11(1). 285–298. 28 indexed citations
10.
Ottaviani, Giorgio. (2013). A computational approach to Lueroth quartics. Florence Research (University of Florence). 1 indexed citations
11.
Oeding, Luke & Giorgio Ottaviani. (2013). Eigenvectors of tensors and algorithms for Waring decomposition. Journal of Symbolic Computation. 54. 9–35. 55 indexed citations
12.
Brambilla, Maria Chiara & Giorgio Ottaviani. (2008). On the Alexander–Hirschowitz theorem. Journal of Pure and Applied Algebra. 212(5). 1229–1251. 68 indexed citations
13.
Ottaviani, Giorgio, et al.. (2005). Resolutions of homogeneous bundles on ℙ 2 . Annales de l’institut Fourier. 55(3). 973–1015. 2 indexed citations
14.
Ottaviani, Giorgio, et al.. (2003). The Binet–Cauchy theorem for the hyperdeterminant of boundary format multi-dimensional matrices. Journal of Algebra. 259(1). 87–94. 4 indexed citations
15.
Ottaviani, Giorgio, et al.. (2001). Syzygies of Veronese Embeddings. Compositio Mathematica. 125(1). 31–37. 25 indexed citations
16.
Ottaviani, Giorgio, et al.. (1998). Boundedness for codimension two submanifolds of quadrics. Collectanea mathematica. 49(2). 293–316. 3 indexed citations
17.
Braun, Rüdiger, Giorgio Ottaviani, Manfred Schneider, & Frank–Olaf Schreyer. (1996). Classification of conic bundles in $\mathbb {P}^5$. French digital mathematics library (Numdam). 23(1). 69–97. 3 indexed citations
18.
Ottaviani, Giorgio. (1992). On 3-folds in $\mathbb {P}^5$ which are scrolls. French digital mathematics library (Numdam). 19(3). 451–471. 9 indexed citations
19.
Ancona, Vincenzo & Giorgio Ottaviani. (1989). An introduction to the derived categories and the theorem of Beilinson. Messanae Universitas Studiorum (University of Messina). 5 indexed citations
20.
Ottaviani, Giorgio. (1988). Spinor Bundles on Quadrics. Transactions of the American Mathematical Society. 307(1). 301–301. 28 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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