Filippo Viviani

567 total citations
30 papers, 177 citations indexed

About

Filippo Viviani is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Filippo Viviani has authored 30 papers receiving a total of 177 indexed citations (citations by other indexed papers that have themselves been cited), including 30 papers in Geometry and Topology, 20 papers in Mathematical Physics and 8 papers in Algebra and Number Theory. Recurrent topics in Filippo Viviani's work include Algebraic Geometry and Number Theory (24 papers), Advanced Algebra and Geometry (14 papers) and Advanced Differential Equations and Dynamical Systems (7 papers). Filippo Viviani is often cited by papers focused on Algebraic Geometry and Number Theory (24 papers), Advanced Algebra and Geometry (14 papers) and Advanced Differential Equations and Dynamical Systems (7 papers). Filippo Viviani collaborates with scholars based in Italy, Portugal and Germany. Filippo Viviani's co-authors include Lucia Caporaso, Sandra Di Rocco, June Huh, Jan Draisma, Aldo Conca and Bernd Sturmfels and has published in prestigious journals such as SHILAP Revista de lepidopterología, Lecture notes in mathematics and Advances in Mathematics.

In The Last Decade

Filippo Viviani

27 papers receiving 148 citations

Peers

Filippo Viviani
Comparison fields: 5 of 22
  • Geometry and Topology 162
  • Mathematical Physics 80
  • Computational Theory and Mathematics 79
  • Algebra and Number Theory 47
  • Statistical and Nonlinear Physics 26
Brian Osserman United States
Fumiharu Kato Japan
Stefan Schröer Germany
Ana J. Reguera Spain
Walter Gubler Germany
Oliver Lorscheid Brazil
Eric Katz United States
Maria Chiara Brambilla Italy
Massimiliano Mella Italy
Olivier Piltant France
Brian Osserman United States View profile →
Citations per field, relative to Filippo Viviani
Filippo Viviani · 1×
Citations per year, relative to Filippo Viviani
Filippo Viviani · 1×

Countries citing papers authored by Filippo Viviani

Since Specialization
Citations

This map shows the geographic impact of Filippo Viviani'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 Filippo Viviani with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Filippo Viviani more than expected).

Fields of papers citing papers by Filippo Viviani

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Filippo Viviani. 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 Filippo Viviani. The network helps show where Filippo Viviani may publish in the future.

Co-authorship network of co-authors of Filippo Viviani

This figure shows the co-authorship network connecting the top 25 collaborators of Filippo Viviani. A scholar is included among the top collaborators of Filippo Viviani 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 Filippo Viviani. Filippo Viviani 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
# Title Journal Authors Indexed citations
1 Slope inequalities for KSB‐stable and K‐stable families Proceedings of the London Mathematical Society Filippo Viviani et al. 0
2 Tropicalization of the universal Jacobian SHILAP Revista de lepidopterología Filippo Viviani et al. 2
3 On some modular contractions of the moduli space of stable pointed curves Algebra & Number Theory Filippo Viviani et al. 1
4 The Picard group of the universal moduli stack of principal bundles on pointed smooth curves II ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE Filippo Viviani et al. 1
5 Fine compactified Jacobians of reduced curves Iris (Roma Tre University) Filippo Viviani et al. 14
6 Fourier–Mukai and autoduality for compactified Jacobians. I Journal für die reine und angewandte Mathematik (Crelles Journal) Filippo Viviani et al. 3
7 The singularities and birational geometry of the compactified universal Jacobian Algebraic geometry Filippo Viviani et al. 5
8 The Picard group of the compactified universal Jacobian Iris (Roma Tre University) Filippo Viviani et al. 9
9 The geometry and combinatorics of cographic toric face rings Iris (Roma Tre University) Filippo Viviani et al. 3
10 On GIT quotients of Hilbert and Chow schemes of curves arXiv (Cornell University) Filippo Viviani et al. 2
11 The Local Structure of Compactified Jacobians: Deformation Theory arXiv (Cornell University) Filippo Viviani et al. 2
12 The Chow ring of the stack of cyclic covers of the projective line Annales de l’institut Fourier Filippo Viviani et al. 6
13 On the tropical Torelli map Advances in Mathematics Filippo Viviani et al. 36
14 Torelli theorem for graphs and tropical curves Duke Mathematical Journal Lucia Caporaso, Filippo Viviani 20
15 Infinitesimal deformations of restricted simple Lie algebras II Journal of Pure and Applied Algebra Filippo Viviani 2
16 Deformations of the Restricted Melikian Lie Algebra Communications in Algebra Filippo Viviani 3
17 Ramification groups and Artin conductors of radical extensions of Journal de Théorie des Nombres de Bordeaux Filippo Viviani 11
18 Infinitesimal deformations of restricted simple Lie algebras I Journal of Algebra Filippo Viviani 4
19 Picard group of moduli of hyperelliptic curves Mathematische Zeitschrift Filippo Viviani et al. 7
20 DEFORMATIONS OF SIMPLE FINITE GROUP SCHEMES arXiv (Cornell University) Filippo Viviani 1

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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