Michael Atiyah
Impact in
- Mathematical Physics top 0.01%
- Homotopy and Cohomology in Algebraic Topology
- Advanced Operator Algebra Research
- Advanced Algebra and Geometry
- Geometry and Topology top 0.01%
- Algebraic Geometry and Number Theory
- Algebraic structures and combinatorial models
- Geometric and Algebraic Topology
Papers in
-
- Geometric and Algebraic Topology 25
- Algebraic Geometry and Number Theory 22
-
- Homotopy and Cohomology in Algebraic Topology 35
- Advanced Operator Algebra Research 22
- Advanced Algebra and Geometry 18
- Co-authors
- I. M. Singer (18 shared papers)R. Bott (21 shared papers)V. K. Patodi (11 shared papers)Nigel Hitchin (12 shared papers)Raoul Bott (3 shared papers)Graeme Segal (6 shared papers)Friedrich Hirzebruch (7 shared papers)Vladimir Drinfeld (2 shared papers)
- Journals
- Annals of Mathematics (11 papers)Topology (10 papers)Bulletin of the London Mathematical Society (8 papers)Mathematical Proceedings of the Cambridge Philosophical Society (8 papers)Lecture notes in mathematics (7 papers)
- Partner nations
- United KingdomUnited StatesSlovakia
In The Last Decade
Michael Atiyah
208 papers receiving 17.2k citations
Michael Atiyah's Hit Papers
Peers
Comparison fields: 5 of 152
- Mathematical Physics 11.3k
- Geometry and Topology 10.2k
- Algebra and Number Theory 4.0k
- Applied Mathematics 4.3k
- Nuclear and High Energy Physics 5.0k
Countries citing papers authored by Michael Atiyah
This map shows the geographic impact of Michael Atiyah'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 Michael Atiyah with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Michael Atiyah more than expected).
Fields of papers citing papers by Michael Atiyah
This network shows the impact of papers produced by Michael Atiyah. 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 Michael Atiyah. The network helps show where Michael Atiyah may publish in the future.
Co-authors
The 25 scholars most cited alongside Michael Atiyah, 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 233 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Spectral asymmetry and Riemannian Geometry. I Hit paper breakdown → | 1975 | 1205 |
| 2 | The Yang-Mills equations over Riemann surfaces Hit paper breakdown → | 1983 | 1123 |
| 3 | Self-duality in four-dimensional Riemannian geometry Hit paper breakdown → | 1978 | 910 |
| 4 | Construction of instantons Hit paper breakdown → | 1978 | 887 |
| 5 | The Index of Elliptic Operators: III Hit paper breakdown → | 1968 | 857 |
| 6 | The Index of Elliptic Operators: I Hit paper breakdown → | 1968 | 684 |
| 7 | The moment map and equivariant cohomology Hit paper breakdown → | 1984 | 535 |
| 8 | The Geometry and Dynamics of Magnetic Monopoles Hit paper breakdown → | 1988 | 500 |
| 9 | Convexity and Commuting Hamiltonians Hit paper breakdown → | 1982 | 493 |
| 10 | Topological quantum field theory Hit paper breakdown → | 1988 | 493 |
| 11 | 1997 | 483 | |
| 12 | 1957 | 480 | |
| 13 | Clifford modules Hit paper breakdown → | 1964 | 467 |
| 14 | 1973 | 452 | |
| 15 | 1957 | 443 | |
| 16 | Spectral asymmetry and Riemannian geometry. III Hit paper breakdown → | 1976 | 426 |
| 17 | 1963 | 379 | |
| 18 | 1967 | 332 | |
| 19 | 1977 | 330 | |
| 20 | 1971 | 328 |
About Michael Atiyah
Michael Atiyah is a scholar working on Geometry and Topology, Mathematical Physics, Applied Mathematics, Algebra and Number Theory and Computational Theory and Mathematics, having authored 233 papers that have together received 20.9k indexed citations. Recurring topics across this work include Homotopy and Cohomology in Algebraic Topology (35 papers), Advanced Topics in Algebra (27 papers), Geometric and Algebraic Topology (25 papers), Advanced Operator Algebra Research (22 papers), Algebraic Geometry and Number Theory (22 papers), Black Holes and Theoretical Physics (20 papers), Advanced Algebra and Geometry (18 papers) and Algebraic and Geometric Analysis (18 papers). The work is most often cited by research in Mathematical Physics (11.3k citations), Geometry and Topology (10.2k citations), Algebra and Number Theory (4.0k citations), Applied Mathematics (4.3k citations) and Nuclear and High Energy Physics (5.0k citations). Michael Atiyah has collaborated with scholars based in United Kingdom, United States and Slovakia. Frequent co-authors include I. M. Singer, R. Bott, V. K. Patodi, Nigel Hitchin, Raoul Bott, Graeme Segal, Friedrich Hirzebruch, Vladimir Drinfeld, Yu. I. Manin and R. S. Ward. Their work appears in journals such as Annals of Mathematics, Topology, Bulletin of the London Mathematical Society, Mathematical Proceedings of the Cambridge Philosophical Society and Lecture notes in mathematics.
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.