Michael Atiyah
Impact in
- Mathematical Physics top 0.01%
- Homotopy and Cohomology in Algebraic Topology
- Advanced Algebra and Geometry
- Advanced Operator Algebra Research
- 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 17
- Algebraic Geometry and Number Theory 16
- Mathematics and Applications 14
- Co-authors
- I. M. SingerR. BottNigel HitchinV. K. PatodiRaoul BottGraeme SegalYu. I. ManinVladimir Drinfeld
- 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)The Quarterly Journal of Mathematics (5 papers)
- Partner nations
- United KingdomUnited StatesSlovakia
In The Last Decade
Michael Atiyah
155 papers receiving 14.1k citations
Hit Papers
Peers
Comparison fields: 5 of 146
- Mathematical Physics 9.0k
- Geometry and Topology 8.3k
- Algebra and Number Theory 3.2k
- Nuclear and High Energy Physics 4.3k
- Applied Mathematics 3.4k
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-authorship network
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
| # | Work | ||
|---|---|---|---|
| 1 | Benjamin Franklin and the Edinburgh Enlightenment1 | 2006 | 2 |
| 2 | The Nature of Mathematical Proof | 2005 | 8 |
| 3 | Michael Atiyah collected works | 2004 | 3 |
| 4 | The millennium prize promblems : Clay Mathematics Institute Millennium Meeting, Collège de France, Paris, May 24-25, 2000 | 2002 | 0 |
| 5 | Sir Michael Atiyah : a great mathematician of the twentieth century | 1999 | 16 |
| 6 | 1998 | 22 | |
| 7 | 1996 | 1 | |
| 8 | 1992 | 3 | |
| 9 | The Jones-Witten invariants of knots | 1990 | 6 |
| 10 | 1985 | 48 | |
| 11 | The Yang-Mills equations over Riemann surfaces Hit paper breakdown → | 1983 | 998 |
| 12 | 1982 | 2 | |
| 13 | Self-duality in four-dimensional Riemannian geometry Hit paper breakdown → | 1978 | 809 |
| 14 | 1976 | 10 | |
| 15 | Spectral asymmetry and Riemannian Geometry. I Hit paper breakdown → | 1975 | 1084 |
| 16 | The heat equation in riemannian geometry | 1974 | 2 |
| 17 | Hyperbolic differential equations and algebraic geometry | 1968 | 1 |
| 18 | The index of elliptic operators on compact manifolds | 1964 | 1 |
| 19 | 1958 | 65 | |
| 20 | 1957 | 402 |
About Michael Atiyah
Michael Atiyah is a scholar working on Theoretical Computer Science, Geometry and Topology, Mathematical Physics, Algebra and Number Theory and Applied Mathematics, having authored 169 papers that have together received 17.0k indexed citations. Recurring topics across this work include Homotopy and Cohomology in Algebraic Topology (23 papers), Advanced Topics in Algebra (19 papers), Geometric and Algebraic Topology (17 papers), Algebraic Geometry and Number Theory (16 papers), Black Holes and Theoretical Physics (16 papers), Advanced Operator Algebra Research (15 papers), Advanced Algebra and Geometry (15 papers) and Mathematics and Applications (14 papers). The work is most often cited by research in Mathematical Physics (9.0k citations), Geometry and Topology (8.3k citations), Algebra and Number Theory (3.2k citations), Nuclear and High Energy Physics (4.3k citations) and Applied Mathematics (3.4k citations). Michael Atiyah has collaborated with scholars based in United Kingdom, United States and Slovakia. Frequent co-authors include I. M. Singer, R. Bott, Nigel Hitchin, V. K. Patodi, Raoul Bott, Graeme Segal, Yu. I. Manin, Vladimir Drinfeld, R. S. Ward and Friedrich Hirzebruch. 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 The Quarterly Journal of 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.