Daniele Valtorta
- Applied Mathematics top 5%
- Computational Theory and Mathematics top 10%
- Geometry and Topology top 10%
- Mathematical Physics top 10%
- Astronomy and Astrophysics
- Co-authors
- Aaron NaberJeff CheegerStefano Pigola
- Topics
- Geometric Analysis and Curvature Flows (8 papers)Advanced Mathematical Modeling in Engineering (6 papers)Nonlinear Partial Differential Equations (6 papers)
- Partner nations
- SwitzerlandUnited StatesItaly
In The Last Decade
Daniele Valtorta
10 papers receiving 156 citations
Peers
Comparison fields: 5 of 14
- Applied Mathematics 152
- Computational Theory and Mathematics 76
- Geometry and Topology 55
- Mathematical Physics 54
- Astronomy and Astrophysics 14
Countries citing papers authored by Daniele Valtorta
This map shows the geographic impact of Daniele Valtorta'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 Daniele Valtorta with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Daniele Valtorta more than expected).
Fields of papers citing papers by Daniele Valtorta
This network shows the impact of papers produced by Daniele Valtorta. 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 Daniele Valtorta. The network helps show where Daniele Valtorta may publish in the future.
Co-authorship network of co-authors of Daniele Valtorta
This figure shows the co-authorship network connecting the top 25 collaborators of Daniele Valtorta. A scholar is included among the top collaborators of Daniele Valtorta 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 Daniele Valtorta. Daniele Valtorta is excluded from the visualization to improve readability, since they are connected to all nodes in the network.
All Works
| # | Work | Indexed citations |
|---|---|---|
| 1 | 0 | |
| 2 | 1 | |
| 3 | 14 | |
| 4 | 4 | |
| 5 | Sharp estimates on the first eigenvalue of the $$p$$ p -Laplacian with negative Ricci lower bound | 12 |
| 6 | 3 | |
| 7 | 7 | |
| 8 | 10 | |
| 9 | 33 | |
| 10 | 28 | |
| 11 | 48 | |
| 12 | 1 |
About Daniele Valtorta
Daniele Valtorta is a scholar working on Applied Mathematics, Mathematical Physics and Computational Theory and Mathematics, having authored 12 papers that have together received 161 indexed citations. Recurring topics across this work include Geometric Analysis and Curvature Flows (8 papers), Advanced Mathematical Modeling in Engineering (6 papers) and Nonlinear Partial Differential Equations (6 papers). The work is most often cited by research in Applied Mathematics (152 citations), Geometry and Topology (55 citations) and Mathematical Physics (54 citations). Daniele Valtorta has collaborated with scholars based in Switzerland, United States and Italy. Frequent co-authors include Aaron Naber, Jeff Cheeger and Stefano Pigola. Their work appears in journals such as Annals of Mathematics, Inventiones mathematicae and Nonlinear Analysis.
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.