I. M. Singer

19.9k total citations · 11 hit papers
64 papers, 11.2k citations indexed

About

I. M. Singer is a scholar working on Mathematical Physics, Applied Mathematics and Geometry and Topology. According to data from OpenAlex, I. M. Singer has authored 64 papers receiving a total of 11.2k indexed citations (citations by other indexed papers that have themselves been cited), including 37 papers in Mathematical Physics, 20 papers in Applied Mathematics and 18 papers in Geometry and Topology. Recurrent topics in I. M. Singer's work include Spectral Theory in Mathematical Physics (12 papers), Black Holes and Theoretical Physics (9 papers) and Advanced Algebra and Geometry (8 papers). I. M. Singer is often cited by papers focused on Spectral Theory in Mathematical Physics (12 papers), Black Holes and Theoretical Physics (9 papers) and Advanced Algebra and Geometry (8 papers). I. M. Singer collaborates with scholars based in United States, France and Slovakia. I. M. Singer's co-authors include Michael Atiyah, V. K. Patodi, Daniel Ray, Nigel Hitchin, H. P. McKean, Gerard ’t Hooft, Arthur Jaffe, P. K. Mitter, Henri Lehmann and C. Itzykson and has published in prestigious journals such as Science, Proceedings of the National Academy of Sciences and Physics Today.

In The Last Decade

I. M. Singer

62 papers receiving 9.6k citations

Hit Papers

Spectral asymmetry and Riemannian Geometry. I 1967 2026 1986 2006 1975 1980 1978 1968 1968 250 500 750 1000

Peers

I. M. Singer
Comparison fields: 5 of 106
  • Mathematical Physics 5.0k
  • Nuclear and High Energy Physics 4.1k
  • Geometry and Topology 3.8k
  • Applied Mathematics 2.7k
  • Statistical and Nonlinear Physics 2.2k
Replace Alain Connes with:
Alain Connes France
Nigel Hitchin United Kingdom
C. Itzykson France
Victor G. Kač United States
Jürg Fröhlich Switzerland
Raoul Bott United States
Peter Gilkey United States
Victor Guillemin United States
L. D. Faddeev Russia
Michio Jimbo Japan
Alain Connes France View profile →
Citations per field, relative to I. M. Singer
I. M. Singer · 1×
Citations per year, relative to I. M. Singer
I. M. Singer · 1×

Countries citing papers authored by I. M. Singer

Since Specialization
Citations

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).

Fields of papers citing papers by I. M. Singer

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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
# Work Indexed citations
1 131
2
An estimate of the gap of the first two eigenvalues in the Schrödinger operator
89
3 194
4 75
5 1
6 2
7
Recent Developments in Gauge Theories breakdown →
915
8
Self-duality in four-dimensional Riemannian geometry breakdown →
809
9
Spectral asymmetry and Riemannian geometry. III breakdown →
382
10
Spectral asymmetry and Riemannian Geometry. I breakdown →
1084
11 235
12
R-Torsion and the Laplacian on Riemannian manifolds breakdown →
551
13
Curvature and the eigenvalues of the Laplacian breakdown →
508
14 123
15 122
16 61
17 53
18 15
19 35
20 160

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.

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