Carlo Petronio
- Geometry and Topology top 0.5%
- Mathematical Physics top 2%
- Discrete Mathematics and Combinatorics top 2%
- Applied Mathematics top 2%
- Computational Theory and Mathematics top 5%
- Co-authors
- Riccardo BenedettiBruno MartelliR. De PietriAndreĭ VesninD. B. A. EpsteinSergei MatveevMaria Antonietta PascaliJeffrey R. Weeks
- Topics
- Geometric and Algebraic Topology (38 papers)Advanced Combinatorial Mathematics (25 papers)Homotopy and Cohomology in Algebraic Topology (14 papers)
In The Last Decade
Carlo Petronio
47 papers receiving 743 citations
Hit Papers
Peers
Comparison fields: 5 of 50
- Geometry and Topology 709
- Mathematical Physics 525
- Discrete Mathematics and Combinatorics 259
- Applied Mathematics 205
- Computational Theory and Mathematics 139
Countries citing papers authored by Carlo Petronio
This map shows the geographic impact of Carlo Petronio'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 Carlo Petronio with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Carlo Petronio more than expected).
Fields of papers citing papers by Carlo Petronio
This network shows the impact of papers produced by Carlo Petronio. 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 Carlo Petronio. The network helps show where Carlo Petronio may publish in the future.
Co-authorship network of co-authors of Carlo Petronio
This figure shows the co-authorship network connecting the top 25 collaborators of Carlo Petronio. A scholar is included among the top collaborators of Carlo Petronio 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 Carlo Petronio. Carlo Petronio is excluded from the visualization to improve readability, since they are connected to all nodes in the network.
All Works
| # | Work | Indexed citations |
|---|---|---|
| 1 | 1 | |
| 2 | 2 | |
| 3 | 3 | |
| 4 | 3 | |
| 5 | 3 | |
| 6 | 14 | |
| 7 | 1 | |
| 8 | Complexity of geometric three-manifolds and Dehn surgery on the three-rings chain-link | 0 |
| 9 | 10 | |
| 10 | 1 | |
| 11 | 5 | |
| 12 | Two-sided asymptotic bounds for the complexity of cyclic branched coverings of two-bridge links | 3 |
| 13 | 6 | |
| 14 | 13 | |
| 15 | 17 | |
| 16 | 12 | |
| 17 | Ideal triangulations of hyperbolic $3$-manifolds | 0 |
| 18 | 11 | |
| 19 | 27 | |
| 20 | Lectures on Hyperbolic Geometrybreakdown → | 368 |
About Carlo Petronio
Carlo Petronio is a scholar working on Discrete Mathematics and Combinatorics, Geometry and Topology and Mathematical Physics, having authored 50 papers that have together received 868 indexed citations. Recurring topics across this work include Geometric and Algebraic Topology (38 papers), Advanced Combinatorial Mathematics (25 papers) and Homotopy and Cohomology in Algebraic Topology (14 papers). The work is most often cited by research in Geometry and Topology (709 citations), Discrete Mathematics and Combinatorics (259 citations) and Mathematical Physics (525 citations). Carlo Petronio has collaborated with scholars based in Italy, Russia and Australia. Frequent co-authors include Riccardo Benedetti, Bruno Martelli, R. De Pietri, Andreĭ Vesnin, D. B. A. Epstein, Sergei Matveev, Maria Antonietta Pascali, Jeffrey R. Weeks, Francesco Costantino and F. Berizzi. Their work appears in journals such as Lecture notes in mathematics, Transactions of the American Mathematical Society and Journal of Mathematical Physics.
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.