Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies
if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the
same subfield and year (this is the minimum needed to enter the top 1%, not the average
within it), or reaches the top citation threshold in at least one of its specific research
topics.
Spectral asymmetry and Riemannian Geometry. I
19751.1k citationsMichael Atiyah, V. K. Patodi et al.Mathematical Proceedings of the Cambridge Philosophical Societyprofile →
The Yang-Mills equations over Riemann surfaces
1983998 citationsMichael Atiyah, Raoul BottPhilosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciencesprofile →
Self-duality in four-dimensional Riemannian geometry
1978809 citationsMichael Atiyah, Nigel Hitchin et al.Proceedings of the Royal Society of London A Mathematical and Physical Sciencesprofile →
Construction of instantons
1978803 citationsMichael Atiyah, Nigel Hitchin et al.profile →
The Index of Elliptic Operators: III
1968753 citationsMichael Atiyah, I. M. Singerprofile →
The Index of Elliptic Operators: I
1968577 citationsMichael Atiyah, I. M. Singerprofile →
Countries citing papers authored by Michael Atiyah
Since
Specialization
Citations
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).
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 of co-authors of Michael Atiyah
This figure shows the co-authorship network connecting the top 25 collaborators of Michael Atiyah.
A scholar is included among the top collaborators of Michael Atiyah 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 Michael Atiyah. Michael Atiyah is excluded from
the visualization to improve readability, since they are connected to all nodes in the network.
All Works
20 of 20 papers shown
1.
Atiyah, Michael. (2006). Benjamin Franklin and the Edinburgh Enlightenment1. 150(4). 591.2 indexed citations
2.
Bundy, Alan, Michael Atiyah, Angus Macintyre, & Donald Mackenzie. (2005). The Nature of Mathematical Proof. 363(1835).8 indexed citations
3.
Atiyah, Michael. (2004). Michael Atiyah collected works. Oxford University Press eBooks.3 indexed citations
4.
Atiyah, Michael. (2002). The millennium prize promblems : Clay Mathematics Institute Millennium Meeting, Collège de France, Paris, May 24-25, 2000. Springer eBooks.
5.
Atiyah, Michael. (1999). Sir Michael Atiyah : a great mathematician of the twentieth century.16 indexed citations
6.
Atiyah, Michael, et al.. (1998). Idempotency. Cambridge University Press eBooks.22 indexed citations
Atiyah, Michael. (1990). The Jones-Witten invariants of knots. Astérisque. 32. 7–16.6 indexed citations
10.
Atiyah, Michael & Nigel Hitchin. (1985). Low-energy scattering of non-Abelian magnetic monopoles. Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences. 315(1533). 459–469.48 indexed citations
11.
Atiyah, Michael & Raoul Bott. (1983). The Yang-Mills equations over Riemann surfaces. Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences. 308(1505). 523–615.998 indexed citations breakdown →
Atiyah, Michael, Nigel Hitchin, & I. M. Singer. (1978). Self-duality in four-dimensional Riemannian geometry. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 362(1711). 425–461.809 indexed citations breakdown →
14.
Atiyah, Michael. (1976). Bakerian Lecture, 1975: Global geometry. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 347(1650). 291–299.10 indexed citations
15.
Atiyah, Michael, V. K. Patodi, & I. M. Singer. (1975). Spectral asymmetry and Riemannian Geometry. I. Mathematical Proceedings of the Cambridge Philosophical Society. 77(1). 43–69.1084 indexed citations breakdown →
16.
Atiyah, Michael. (1974). The heat equation in riemannian geometry. French digital mathematics library (Numdam). 16. 1–11.2 indexed citations
17.
Atiyah, Michael. (1968). Hyperbolic differential equations and algebraic geometry. French digital mathematics library (Numdam). 10. 87–99.1 indexed citations
18.
Atiyah, Michael. (1964). The index of elliptic operators on compact manifolds. Project Euclid (Cornell University). 8. 159–169.1 indexed citations
19.
Atiyah, Michael. (1958). On analytic surfaces with double points. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 247(1249). 237–244.65 indexed citations
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.