I. M. Singer
Impact in
- Mathematical Physics top 0.02%
- Advanced Operator Algebra Research
- Homotopy and Cohomology in Algebraic Topology
- Geometry and Topology top 0.02%
- Geometric and Algebraic Topology
Papers in
-
- Spectral Theory in Mathematical Physics 15
- Advanced Operator Algebra Research 8
- Advanced Algebra and Geometry 8
- Homotopy and Cohomology in Algebraic Topology 7
-
- Algebraic and Geometric Analysis 11
- Co-authors
- Michael Atiyah (18 shared papers)V. K. Patodi (7 shared papers)Daniel Ray (2 shared papers)Nigel Hitchin (2 shared papers)H. P. McKean (2 shared papers)Gerard ’t Hooft (3 shared papers)Arthur Jaffe (3 shared papers)P. K. Mitter (3 shared papers)
- Journals
- Annals of Mathematics (7 papers)Communications in Mathematical Physics (6 papers)Journal of Differential Geometry (5 papers)American Journal of Mathematics (4 papers)Proceedings of the National Academy of Sciences (4 papers)
- Partner nations
- United StatesUnited KingdomFrance
In The Last Decade
I. M. Singer
74 papers receiving 10.9k citations
I. M. Singer's Hit Papers
Peers
Comparison fields: 5 of 111
- Mathematical Physics 5.9k
- Geometry and Topology 4.4k
- Algebra and Number Theory 2.2k
- Nuclear and High Energy Physics 4.5k
- Applied Mathematics 3.2k
Countries citing papers authored by I. M. Singer
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
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-authors
The 25 scholars most cited alongside I. M. Singer, 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 77 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 | Recent Developments in Gauge Theories Hit paper breakdown → | 1980 | 972 |
| 3 | Self-duality in four-dimensional Riemannian geometry Hit paper breakdown → | 1978 | 910 |
| 4 | The Index of Elliptic Operators: III Hit paper breakdown → | 1968 | 857 |
| 5 | The Index of Elliptic Operators: I Hit paper breakdown → | 1968 | 684 |
| 6 | R-Torsion and the Laplacian on Riemannian manifolds Hit paper breakdown → | 1971 | 615 |
| 7 | Curvature and the eigenvalues of the Laplacian Hit paper breakdown → | 1967 | 581 |
| 8 | Some remarks on the Gribov ambiguity Hit paper breakdown → | 1978 | 515 |
| 9 | Spectral asymmetry and Riemannian geometry. III Hit paper breakdown → | 1976 | 426 |
| 10 | 1985 | 404 | |
| 11 | Recent Developments in Gauge Theories Hit paper breakdown → | 1981 | 393 |
| 12 | 1963 | 379 | |
| 13 | 1971 | 328 | |
| 14 | 1975 | 318 | |
| 15 | 1973 | 301 | |
| 16 | 1973 | 264 | |
| 17 | 1984 | 221 | |
| 18 | Progress in Gauge Field Theory Hit paper breakdown → | 1984 | 213 |
| 19 | 1971 | 213 | |
| 20 | 1965 | 206 |
About I. M. Singer
I. M. Singer is a scholar working on Mathematical Physics, Applied Mathematics, Geometry and Topology, Computational Theory and Mathematics and Astronomy and Astrophysics, having authored 77 papers that have together received 12.8k indexed citations. Recurring topics across this work include Spectral Theory in Mathematical Physics (15 papers), Algebraic and Geometric Analysis (11 papers), Black Holes and Theoretical Physics (10 papers), Advanced Operator Algebra Research (8 papers), Advanced Algebra and Geometry (8 papers), Advanced Topics in Algebra (8 papers), Matrix Theory and Algorithms (7 papers) and Homotopy and Cohomology in Algebraic Topology (7 papers). The work is most often cited by research in Mathematical Physics (5.9k citations), Geometry and Topology (4.4k citations), Algebra and Number Theory (2.2k citations), Nuclear and High Energy Physics (4.5k citations) and Applied Mathematics (3.2k citations). I. M. Singer has collaborated with scholars based in United States, United Kingdom and France. Frequent co-authors include Michael Atiyah, V. K. Patodi, Daniel Ray, Nigel Hitchin, H. P. McKean, Gerard ’t Hooft, Arthur Jaffe, P. K. Mitter, C. Itzykson and W. Ambrose. Their work appears in journals such as Annals of Mathematics, Communications in Mathematical Physics, Journal of Differential Geometry, American Journal of Mathematics and Proceedings of the National Academy of Sciences.
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.