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Michael Atiyah

Active 1956–2018

66
Papers
33,862
Citations
57
h-index
66
i10-index

Citations

Citations per year for Michael Atiyah1967: 13 citations1968: 19 citations1969: 27 citations1970: 4 citations1971: 26 citations1972: 10 citations1973: 20 citations1974: 20 citations1975: 30 citations1976: 24 citations1977: 18 citations1978: 38 citations1979: 34 citations1980: 37 citations1981: 21 citations1982: 43 citations1983: 44 citations1984: 59 citations1985: 34 citations1986: 69 citations1987: 53 citations1988: 58 citations1989: 36 citations1990: 28 citations1991: 28 citations1992: 33 citations1993: 22 citations1994: 54 citations1995: 35 citations1996: 29 citations1997: 44 citations1998: 47 citations1999: 34 citations2000: 52 citations2001: 31 citations2002: 45 citations2003: 55 citations2004: 30 citations2005: 51 citations2006: 28 citations2007: 44 citations2008: 35 citations2009: 52 citations2010: 42 citations2011: 43 citations2012: 55 citations2013: 45 citations2014: 52 citations2015: 46 citations2016: 53 citations2017: 36 citations2018: 39 citations2019: 55 citations2020: 61 citations2021: 50 citations2022: 43 citations2023: 19 citations2024: 30 citations2025: 32 citations2026: 2 citations

Citation sources

Countries

World map of the countries and regions citing this authorUnited States: 643 citing papers, 34.4% of this breakdownUnited Kingdom: 133 citing papers, 7.1% of this breakdownFrance: 131 citing papers, 7% of this breakdownGermany: 114 citing papers, 6.1% of this breakdownJapan: 97 citing papers, 5.2% of this breakdownItaly: 74 citing papers, 3.9% of this breakdownCanada: 67 citing papers, 3.6% of this breakdownRussia: 50 citing papers, 2.7% of this breakdownSpain: 46 citing papers, 2.5% of this breakdownChina: 42 citing papers, 2.2% of this breakdownSwitzerland: 40 citing papers, 2.1% of this breakdownNetherlands: 35 citing papers, 1.9% of this breakdown
0%34.4%Other 21.3%

Institutions

Fields

  • Mathematics47.4%
  • Computer Science24.3%
  • Physics and Astronomy18.2%
  • Engineering3.4%
  • Neuroscience2.3%
  • Biochemistry, Genetics and Molecular Biology1.2%
  • Other3.2%

Topics

  • Algebraic Geometry and Number Theory5.2%
  • Polynomial and algebraic computation4.9%
  • Black Holes and Theoretical Physics4.4%
  • Homotopy and Cohomology in Algebraic Topology4.1%
  • Geometric and Algebraic Topology3.6%
  • Algebraic structures and combinatorial models3.5%
  • Other74.3%

Coauthors

All papers

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  1. Introduction To Commutative Algebra

    Authors: Michael Atiyah - 2018 cited by 3,041

  2. Clifford modules

    Authors: Michael Atiyah, R. Bott, Alexander Shapiro - Topology 1964 cited by 738

  3. The experience of mathematical beauty and its neural correlates

    Authors: Semir Zeki, John Paul Romaya, Dionigi M. T. Benincasa, Michael Atiyah - Frontiers in Human Neuroscience 2014 cited by 254

  4. Topological quantum field theory

    Authors: Michael Atiyah - Publications mathématiques de l IHÉS 1988 cited by 983

  5. Convexity and Commuting Hamiltonians

    Authors: Michael Atiyah - Bulletin of the London Mathematical Society 1982 cited by 972

  6. The Yang-Mills equations over Riemann surfaces

    Authors: Michael Atiyah, Raoul Bott - Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences 1983 cited by 2,027

  7. 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

  8. Complex Analytic Connections in Fibre Bundles

    Authors: Michael Atiyah - Transactions of the American Mathematical Society 1957 cited by 730

  9. The index of elliptic operators on compact manifolds

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

  10. 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

  11. Lacunas for hyperbolic differential operators with constant coefficients I

    Authors: Michael Atiyah, R. Bott, Lars Gårding - Acta Mathematica 1970 cited by 260

  12. Construction of instantons

    Authors: Michael Atiyah, Nigel Hitchin, Vladimir Drinfeld, Yu. I. Manin - Physics Letters A 1978 cited by 1,521

  13. The Index of Elliptic Operators: III

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

  14. The Index of Elliptic Operators: I

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

  15. The moment map and equivariant cohomology

    Authors: Michael Atiyah, R. Bott - Topology 1984 cited by 1,138

  16. THE INDEX OF ELLIPTIC OPERATORS

    Authors: Michael Atiyah - World scientific series in 20th century mathematics 1997 cited by 1,047

  17. Vector Bundles Over an Elliptic Curve

    Authors: Michael Atiyah - London Mathematical Society, Proceedings of the London Mathematical Society 1957 cited by 942

  18. The Geometry and Dynamics of Magnetic Monopoles

    Authors: Michael Atiyah, Nigel Hitchin - Princeton University Press eBooks 1988 cited by 882

  19. The Index of Elliptic Operators: IV

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

  20. 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

  21. A Lefschetz Fixed Point Formula for Elliptic Complexes: I

    Authors: Michael Atiyah, R. Bott - Annals of Mathematics 1967 cited by 485

  22. Equivariant K-theory and completion

    Authors: Michael Atiyah, Graeme Segal - Journal of Differential Geometry 1969 cited by 430

  23. K-THEORY AND REALITY

    Authors: Michael Atiyah - The Quarterly Journal of Mathematics 1966 cited by 377

  24. The Index of Elliptic Operators: V

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