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 →
Recent Developments in Gauge Theories
1980915 citationsGerard ’t Hooft, C. Itzykson et al.CERN Document Server (European Organization for Nuclear Research)profile →
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 →
The Index of Elliptic Operators: III
1968753 citationsMichael Atiyah, I. M. SingerAnnals of Mathematicsprofile →
The Index of Elliptic Operators: I
1968577 citationsMichael Atiyah, I. M. SingerAnnals of Mathematicsprofile →
R-Torsion and the Laplacian on Riemannian manifolds
1971551 citationsDaniel Ray, I. M. SingerAdvances in Mathematicsprofile →
Curvature and the eigenvalues of the Laplacian
1967508 citationsH. P. McKean, I. M. SingerJournal of Differential Geometryprofile →
Some remarks on the Gribov ambiguity
1978475 citationsI. M. SingerCommunications in Mathematical Physicsprofile →
Spectral asymmetry and Riemannian geometry. III
1976382 citationsMichael Atiyah, V. K. Patodi et al.Mathematical Proceedings of the Cambridge Philosophical Societyprofile →
Recent Developments in Gauge Theories
1981362 citationsGerard ’t Hooft, C. Itzykson et al.profile →
Progress in Gauge Field Theory
1984197 citationsGerard ’t Hooft, Arthur Jaffe et al.profile →
Author Peers
Peers are selected by citation overlap in the author's most active subfields.
citations ·
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This map shows the geographic impact of I. M. Singer'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 I. M. Singer with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites I. M. Singer more than expected).
This network shows the impact of papers produced by I. M. Singer. 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 I. M. Singer. The network helps show where I. M. Singer may publish in the future.
Co-authorship network of co-authors of I. M. Singer
This figure shows the co-authorship network connecting the top 25 collaborators of I. M. Singer.
A scholar is included among the top collaborators of I. M. Singer 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 I. M. Singer. I. M. Singer 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.
Singer, I. M., Bun Wong, Shing‐Tung Yau, & Stephen S.‐T. Yau. (1985). An estimate of the gap of the first two eigenvalues in the Schrödinger operator. French digital mathematics library (Numdam). 12(2). 319–333.89 indexed citations
Atiyah, Michael, Harold Donnelly, & I. M. Singer. (1982). Geometry and analysis of Shimizu L -functions. Proceedings of the National Academy of Sciences. 79(18). 5751–5751.1 indexed citations
4.
Singer, I. M.. (1981). The Peer Review Question. Science. 214(4527). 1292–1294.2 indexed citations
5.
Hooft, Gerard ’t, C. Itzykson, Arthur Jaffe, et al.. (1980). Recent Developments in Gauge Theories. CERN Document Server (European Organization for Nuclear Research).915 indexed citations breakdown →
6.
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 →
Atiyah, Michael, V. K. Patodi, & I. M. Singer. (1976). Spectral asymmetry and Riemannian geometry. III. Mathematical Proceedings of the Cambridge Philosophical Society. 79(1). 71–99.382 indexed citations breakdown →
9.
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 →
10.
Ray, Daniel & I. M. Singer. (1971). R-Torsion and the Laplacian on Riemannian manifolds. Advances in Mathematics. 7(2). 145–210.551 indexed citations breakdown →
McKean, H. P. & I. M. Singer. (1967). Curvature and the eigenvalues of the Laplacian. Journal of Differential Geometry. 1(1-2).508 indexed citations breakdown →
13.
Singer, I. M.. (1960). Infinitesimally homogeneous spaces. Communications on Pure and Applied Mathematics. 13(4). 685–697.123 indexed citations
Arens, Richard & I. M. Singer. (1956). Generalized analytic functions. Transactions of the American Mathematical Society. 81(2). 379–393.61 indexed citations
16.
Singer, I. M.. (1955). Automorphisms of Finite Factors. American Journal of Mathematics. 77(1). 117–117.53 indexed citations
17.
Arens, Richard & I. M. Singer. (1954). Function Values as Boundary Integrals. Proceedings of the American Mathematical Society. 5(5). 735–735.15 indexed citations
18.
Arens, Richard & I. M. Singer. (1954). Function values as boundary integrals. Proceedings of the American Mathematical Society. 5(5). 735–745.35 indexed citations
19.
Ambrose, W. & I. M. Singer. (1953). A theorem on holonomy. Transactions of the American Mathematical Society. 75(3). 428–443.160 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.