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I. M. Singer

Active 1952–2005

37
Papers
18,598
Citations
35
h-index
37
i10-index

Citations

Citations per year for I. M. Singer1967: 6 citations1968: 7 citations1969: 6 citations1970: 4 citations1971: 13 citations1972: 9 citations1973: 13 citations1974: 9 citations1975: 13 citations1976: 8 citations1977: 12 citations1978: 20 citations1979: 26 citations1980: 22 citations1981: 17 citations1982: 32 citations1983: 40 citations1984: 38 citations1985: 37 citations1986: 56 citations1987: 57 citations1988: 53 citations1989: 40 citations1990: 26 citations1991: 29 citations1992: 22 citations1993: 16 citations1994: 33 citations1995: 30 citations1996: 17 citations1997: 20 citations1998: 25 citations1999: 21 citations2000: 26 citations2001: 12 citations2002: 22 citations2003: 29 citations2004: 23 citations2005: 21 citations2006: 19 citations2007: 23 citations2008: 18 citations2009: 32 citations2010: 19 citations2011: 26 citations2012: 33 citations2013: 24 citations2014: 24 citations2015: 37 citations2016: 27 citations2017: 16 citations2018: 19 citations2019: 14 citations2020: 33 citations2021: 18 citations2022: 23 citations2023: 14 citations2024: 16 citations2025: 11 citations2026: 1 citations

Citation sources

Countries

World map of the countries and regions citing this authorUnited States: 456 citing papers, 39.4% of this breakdownGermany: 102 citing papers, 8.8% of this breakdownFrance: 88 citing papers, 7.6% of this breakdownUnited Kingdom: 62 citing papers, 5.4% of this breakdownItaly: 42 citing papers, 3.6% of this breakdownJapan: 39 citing papers, 3.4% of this breakdownCanada: 33 citing papers, 2.8% of this breakdownSwitzerland: 33 citing papers, 2.8% of this breakdownChina: 32 citing papers, 2.8% of this breakdownRussia: 29 citing papers, 2.5% of this breakdownNetherlands: 24 citing papers, 2.1% of this breakdownAustralia: 21 citing papers, 1.8% of this breakdown
0%39.4%Other 17%

Institutions

Fields

  • Mathematics39%
  • Physics and Astronomy32.5%
  • Computer Science20.2%
  • Engineering3.6%
  • Biochemistry, Genetics and Molecular Biology1%
  • Decision Sciences0.7%
  • Other3%

Topics

  • Black Holes and Theoretical Physics6.5%
  • Advanced Mathematical Modeling in Engineering4.5%
  • Spectral Theory in Mathematical Physics4.2%
  • Particle physics theoretical and experimental studies3.9%
  • Homotopy and Cohomology in Algebraic Topology3.6%
  • Quantum Chromodynamics and Particle Interactions3.3%
  • Other74%

Coauthors

All papers

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  1. North-Holland Mathematical Library

    Authors: Michael Artin, Howard Bass, John M. Eells, Walter Feit, Pamela Freyd, Frauke Gehring, H. Halberstam, Lars Hörmander, J. H. B. Kemperman, W. A. J. Luxemburg, FEED-ERICK PETERSON, I. M. Singer, A.C. Zaanen, Anders Björner, Robbert Dijkgraaf, A. Dimca, Alan Dow, J. J. Duistermaat, E. Looijenga, J. P. May, Ieke Moerdijk, Seiichi Mori, J.P. Palis, An De Schrijver, J. Sjöstrand, J. H. M. Steenbrink, Floris Takens, Jan van Mill - North-Holland mathematical library 2005 cited by 224

  2. Spectral asymmetry and Riemannian Geometry. I

    Authors: Michael Atiyah, V. K. Patodi, I. M. Singer - Mathematical Proceedings of the Cambridge Philosophical Society 1975 cited by 2,093

  3. Curvature and the Eigenvalues of the Laplacian

    Authors: H. P. McKean, I. M. Singer - Henry P. McKean Jr. Selecta 1967 cited by 950

  4. The index of elliptic operators on compact manifolds

    Authors: Michael Atiyah, I. M. Singer - Bulletin of the American Mathematical Society 1963 cited by 694

  5. Dirac operators coupled to vector potentials

    Authors: Michael Atiyah, I. M. Singer - National Academy of Sciences, Proceedings of the National Academy of Sciences 1984 cited by 398

  6. Quadratic functions in geometry, topology, and M-theory

    Authors: Michael J. Hopkins, I. M. Singer - Journal of Differential Geometry 2005 cited by 354

  7. Extensions of Pure States

    Authors: Richard V. Kadison, I. M. Singer - American Journal of Mathematics 1959 cited by 233

  8. The Index of Elliptic Operators: III

    Authors: Michael Atiyah, I. M. Singer - Annals of Mathematics 1968 cited by 1,278

  9. Recent Developments in Gauge Theories

    Authors: Gerard ’t Hooft, C. Itzykson, Arthur Jaffe, Henri Lehmann, P. K. Mitter, I. M. Singer, Stora, Raymond Félix - 1980 cited by 1,246

  10. The Index of Elliptic Operators: I

    Authors: Michael Atiyah, I. M. Singer - Annals of Mathematics 1968 cited by 1,162

  11. R-Torsion and the Laplacian on Riemannian manifolds

    Authors: Daniel Ray, I. M. Singer - Advances in Mathematics 1971 cited by 1,042

  12. Some remarks on the Gribov ambiguity

    Authors: I. M. Singer - Communications in Mathematical Physics 1978 cited by 798

  13. The Index of Elliptic Operators: IV

    Authors: Michael Atiyah, I. M. Singer - Annals of Mathematics 1971 cited by 537

  14. Spectral asymmetry and Riemannian geometry. II

    Authors: Michael Atiyah, V. K. Patodi, I. M. Singer - Mathematical Proceedings of the Cambridge Philosophical Society 1975 cited by 510

  15. The Index of Elliptic Operators: V

    Authors: Michael Atiyah, I. M. Singer - Annals of Mathematics 1971 cited by 353

  16. Lecture Notes on Elementary Topology and Geometry.

    Authors: Morris W. Hirsch, I. M. Singer, J. A. Thorpe - American Mathematical Monthly 1968 cited by 324

  17. Progress in Gauge Field Theory

    Authors: Gerard ’t Hooft, Arthur Jaffe, Henri Lehmann, P. K. Mitter, I. M. Singer, R. Stora - NATO ASI series. Series B : Physics 1984 cited by 254

  18. Topological Yang-Mills symmetry

    Authors: Laurent Baulieu, I. M. Singer - Nuclear Physics B - Proceedings Supplements 1988 cited by 224

  19. Self-duality in four-dimensional Riemannian geometry

    Authors: Michael Atiyah, Nigel Hitchin, I. M. Singer - Royal Society of London A Mathematical and Physical Sciences, Proceedings of the Royal Society of London A Mathematical and Physical Sciences 1978 cited by 1,500

  20. Spectral asymmetry and Riemannian geometry. III

    Authors: Michael Atiyah, V. K. Patodi, I. M. Singer - Mathematical Proceedings of the Cambridge Philosophical Society 1976 cited by 686

  21. Recent Developments in Gauge Theories

    Authors: Gerard ’t Hooft, C. Itzykson, Arthur Jaffe, Henri Lehmann, P. K. Mitter, I. M. Singer, R. Stora, Kévin Cahill - Physics Today 1981 cited by 535

  22. Vertex Operators in Mathematics and Physics

    Authors: James Lepowsky, S. Mandelstam, I. M. Singer - Mathematical Sciences Research Institute publications 1985 cited by 491

  23. Analytic Torsion for Complex Manifolds

    Authors: Daniel Ray, I. M. Singer - Annals of Mathematics 1973 cited by 480

  24. Spectral Asymmetry and Riemannian Geometry

    Authors: Michael Atiyah, V. K. Patodi, I. M. Singer - Bulletin of the London Mathematical Society 1973 cited by 401