Richard S. Hamilton
- Applied Mathematics top 0.02%
- Geometry and Topology top 0.02%
- Astronomy and Astrophysics top 1%
- Mathematical Physics top 1%
- Computational Theory and Mathematics top 1%
- Co-authors
- Michael E. GageBennett ChowXiaodong CaoPanagiota DaskalopoulosNataša ŠešumP. DaskalopoulosJames IsenbergHuai-Dong Cao
- Topics
- Geometric Analysis and Curvature Flows (28 papers)Geometry and complex manifolds (15 papers)Advanced Differential Geometry Research (9 papers)
- Journals
- Lecture notes in mathematicsTransactions of the American Mathematical SocietyInventiones mathematicae
- Partner nations
- United States
In The Last Decade
Richard S. Hamilton
34 papers receiving 4.7k citations
Hit Papers
Peers
Comparison fields: 5 of 87
- Applied Mathematics 4.5k
- Geometry and Topology 3.7k
- Astronomy and Astrophysics 1.9k
- Mathematical Physics 809
- Computational Theory and Mathematics 515
Countries citing papers authored by Richard S. Hamilton
This map shows the geographic impact of Richard S. Hamilton'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 Richard S. Hamilton with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Richard S. Hamilton more than expected).
Fields of papers citing papers by Richard S. Hamilton
This network shows the impact of papers produced by Richard S. Hamilton. 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 Richard S. Hamilton. The network helps show where Richard S. Hamilton may publish in the future.
Co-authorship network of co-authors of Richard S. Hamilton
This figure shows the co-authorship network connecting the top 25 collaborators of Richard S. Hamilton. A scholar is included among the top collaborators of Richard S. Hamilton 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 Richard S. Hamilton. Richard S. Hamilton is excluded from the visualization to improve readability, since they are connected to all nodes in the network.
All Works
| # | Work | Indexed citations |
|---|---|---|
| 1 | 43 | |
| 2 | 1 | |
| 3 | Classification of compact ancient solutions to the Ricci flow on surfaces, ArXiv:0902.1158 | 0 |
| 4 | 5 | |
| 5 | The Cross Curvature Flow of 3-Manifolds with Negative Sectional Curvature | 15 |
| 6 | 23 | |
| 7 | 82 | |
| 8 | 6 | |
| 9 | 119 | |
| 10 | 6 | |
| 11 | 24 | |
| 12 | 16 | |
| 13 | 48 | |
| 14 | 76 | |
| 15 | 231 | |
| 16 | The Ricci flow on surfacesbreakdown → | 378 |
| 17 | 380 | |
| 18 | The heat equation shrinking convex plane curvesbreakdown → | 737 |
| 19 | 25 | |
| 20 | 3 |
About Richard S. Hamilton
Richard S. Hamilton is a scholar working on Applied Mathematics, Geometry and Topology and Mathematical Physics, having authored 37 papers that have together received 5.5k indexed citations. Recurring topics across this work include Geometric Analysis and Curvature Flows (28 papers), Geometry and complex manifolds (15 papers) and Advanced Differential Geometry Research (9 papers). The work is most often cited by research in Applied Mathematics (4.5k citations), Geometry and Topology (3.7k citations) and Astronomy and Astrophysics (1.9k citations). Richard S. Hamilton has collaborated with scholars based in United States. Frequent co-authors include Michael E. Gage, Bennett Chow, Xiaodong Cao, Panagiota Daskalopoulos, Nataša Šešum, P. Daskalopoulos, James Isenberg, Huai-Dong Cao, M. Grayson and Shing‐Tung Yau. Their work appears in journals such as Lecture notes in mathematics, Transactions of the American Mathematical Society and Inventiones mathematicae.
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.