Simon Donaldson
Impact in
- Geometry and Topology top 0.01%
- Geometry and complex manifolds
- Algebraic Geometry and Number Theory
- Geometric and Algebraic Topology
- Mathematical Physics top 0.05%
- Homotopy and Cohomology in Algebraic Topology
- Advanced Algebra and Geometry
- Advanced Operator Algebra Research
Papers in
-
- Geometry and complex manifolds 35
- Geometric and Algebraic Topology 24
- Algebraic Geometry and Number Theory 19
- Mathematics and Applications 5
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- Geometric Analysis and Curvature Flows 29
- Co-authors
- P. B. Kronheimer (3 shared papers)Song Sun (6 shared papers)Xiuxiong Chen (4 shared papers)Dennis Sullivan (1 shared paper)Robert Friedman (1 shared paper)Mikio Furuta (1 shared paper)D. Kotschick (1 shared paper)Ludmil Katzarkov (3 shared papers)
- Journals
- Journal of Differential Geometry (14 papers)Bulletin of the London Mathematical Society (8 papers)Journal of the American Mathematical Society (3 papers)Bulletin of the American Mathematical Society (3 papers)Topology (3 papers)
- Partner nations
- United KingdomUnited StatesSlovakia
In The Last Decade
Simon Donaldson
69 papers receiving 5.6k citations
Simon Donaldson's Hit Papers
Peers
Comparison fields: 5 of 77
- Geometry and Topology 5.4k
- Mathematical Physics 3.1k
- Applied Mathematics 2.8k
- Discrete Mathematics and Combinatorics 322
- Nuclear and High Energy Physics 1.2k
Countries citing papers authored by Simon Donaldson
This map shows the geographic impact of Simon Donaldson'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 Simon Donaldson with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Simon Donaldson more than expected).
Fields of papers citing papers by Simon Donaldson
This network shows the impact of papers produced by Simon Donaldson. 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 Simon Donaldson. The network helps show where Simon Donaldson may publish in the future.
Co-authors
The 25 scholars most cited alongside Simon Donaldson, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 73 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | The Geometry of Four-Manifolds Hit paper breakdown → | 1990 | 628 |
| 2 | The Geometry of Four-Manifolds Hit paper breakdown → | 1990 | 576 |
| 3 | Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles Hit paper breakdown → | 1985 | 563 |
| 4 | 1983 | 368 | |
| 5 | Scalar Curvature and Stability of Toric Varieties Hit paper breakdown → | 2002 | 309 |
| 6 | 1990 | 303 | |
| 7 | 2001 | 242 | |
| 8 | 1987 | 213 | |
| 9 | 1987 | 213 | |
| 10 | 1983 | 205 | |
| 11 | 1987 | 184 | |
| 12 | Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities Hit paper breakdown → | 2014 | 168 |
| 13 | 1996 | 151 | |
| 14 | 1984 | 145 | |
| 15 | 1984 | 142 | |
| 16 | 1986 | 131 | |
| 17 | 2014 | 119 | |
| 18 | 2014 | 115 | |
| 19 | 1987 | 109 | |
| 20 | 2002 | 109 |
About Simon Donaldson
Simon Donaldson is a scholar working on Geometry and Topology, Applied Mathematics, Mathematical Physics, Statistical and Nonlinear Physics and Algebra and Number Theory, having authored 73 papers that have together received 6.6k indexed citations. Recurring topics across this work include Geometry and complex manifolds (35 papers), Geometric Analysis and Curvature Flows (29 papers), Geometric and Algebraic Topology (24 papers), Homotopy and Cohomology in Algebraic Topology (19 papers), Algebraic Geometry and Number Theory (19 papers), Advanced Algebra and Geometry (9 papers), Mathematics and Applications (5 papers) and Nonlinear Waves and Solitons (4 papers). The work is most often cited by research in Geometry and Topology (5.4k citations), Mathematical Physics (3.1k citations), Applied Mathematics (2.8k citations), Discrete Mathematics and Combinatorics (322 citations) and Nuclear and High Energy Physics (1.2k citations). Simon Donaldson has collaborated with scholars based in United Kingdom, United States and Slovakia. Frequent co-authors include P. B. Kronheimer, Song Sun, Xiuxiong Chen, Dennis Sullivan, Robert Friedman, Mikio Furuta, D. Kotschick, Ludmil Katzarkov, Denis Auroux and Ivan Smith. Their work appears in journals such as Journal of Differential Geometry, Bulletin of the London Mathematical Society, Journal of the American Mathematical Society, Bulletin of the American Mathematical Society and Topology.
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.