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 — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Giorgio Ottaviani Italy	20	510	505	380	249	189	65	1.1k
Luca Chiantini Italy	15	333 0.7×	373 0.7×	231 0.6×	107 0.4×	174 0.9×	66	695
Peter Bürgisser Germany	15	175 0.3×	246 0.5×	822 2.2×	91 0.4×	198 1.0×	63	1.3k
Christopher J. Hillar United States	11	478 0.9×	136 0.3×	302 0.8×	42 0.2×	124 0.7×	42	933
Anthony V. Geramita Canada	26	338 0.7×	984 1.9×	867 2.3×	109 0.4×	1.0k 5.4×	84	1.6k
Chris Peterson United States	14	97 0.2×	225 0.4×	221 0.6×	66 0.3×	216 1.1×	62	592
Bruce Reznick United States	16	63 0.1×	258 0.5×	487 1.3×	124 0.5×	136 0.7×	59	946
Vadim Olshevsky United States	19	81 0.2×	51 0.1×	770 2.0×	55 0.2×	82 0.4×	54	1.1k
Georg Heinig Kuwait	15	31 0.1×	70 0.1×	700 1.8×	83 0.3×	155 0.8×	52	986
Olga Holtz United States	13	66 0.1×	56 0.1×	264 0.7×	36 0.1×	59 0.3×	30	577
Lorenzo Robbiano Italy	15	25 0.0×	520 1.0×	814 2.1×	43 0.2×	646 3.4×	55	1.1k

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

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20 of 20 papers shown

Ottaviani, Giorgio, et al.. (2024). Generalized identifiability of sums of squares. Journal of Algebra. 661. 641–656.

Ottaviani, Giorgio. (2022). The Critical Space for Orthogonally Invariant Varieties. Florence Research (University of Florence).

Ottaviani, Giorgio, et al.. (2021). Tensors with eigenvectors in a given subspace. Florence Research (University of Florence). 2 indexed citations

Ottaviani, Giorgio, et al.. (2020). The distance function from a real algebraic variety. Florence Research (University of Florence). 5 indexed citations

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

Fløystad, Gunnar, et al.. (2018). The Chow form of the essential variety in computer vision. Florence Research (University of Florence). 6 indexed citations

Blekherman, Grigoriy, et al.. (2018). On real typical ranks. Institutional Research Information System (Università degli Studi di Trento). 9 indexed citations

Drusvyatskiy, Dmitriy, et al.. (2017). THE EUCLIDEAN DISTANCE DEGREE OF ORTHOGONALLY \nINVARIANT MATRIX VARIETIES. Florence Research (University of Florence). 16 indexed citations

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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