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Isadore Manuel Singer

Isadore Manuel Singer

D-Index & Metrics

Mathematics

D-Index
46
Citations
24289
World Ranking
1307
National Ranking
580

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2004 - Abel Prize For their discovery and proof of the index theorem, bringing together topology, geometry and analysis, and their outstanding role in building new bridges between mathematics and theoretical physics.
  • 2000 - Steele Prize for Lifetime Achievement
  • 1983 - US President's National Medal of Science "For his inspired revival of differential geometry and its connections to analysis; for his contribution to the discovery and applications of the index theorem for differential operators; and for his leadership in using geometric and topological methods in connection with theoretical physics.", Presented by President Reagan at a White House Ceremony on February 27, 1985.
  • 1975 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1968 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1968 - Member of the National Academy of Sciences
  • 1959 - Fellow of the American Academy of Arts and Sciences
  • 1959 - Fellow of Alfred P. Sloan Foundation

Overview

Isadore Manuel Singer is affiliated with the Massachusetts Institute of Technology (MIT) in the United States. Their academic career has been distinguished by a range of prestigious awards recognizing contributions to mathematics, particularly in the areas bridging topology, geometry, and analysis.

Their accolades include being awarded the Abel Prize in 2004, cited for the discovery and proof of the index theorem, which integrates elements of topology, geometry, and analysis. This work has been noted for establishing significant connections between mathematics and theoretical physics.

Additional honors received include the Steele Prize for Lifetime Achievement in 2000, and the US President's National Medal of Science in 1983. The National Medal of Science citation highlights their revival of differential geometry and its analytical connections, especially through the discovery and application of the index theorem for differential operators, as well as leadership in using geometric and topological methods in theoretical physics. This medal was presented by President Reagan in 1985. They have also been recognized as a Fellow of the American Mathematical Society in 2013, a Fellow of the American Academy of Arts and Sciences since 1959, and a member of the National Academy of Sciences since 1968.

In terms of fellowships, they are a two-time Fellow of the John Simon Guggenheim Memorial Foundation (1968 and 1975) and a Fellow of the Alfred P. Sloan Foundation since 1959.

Best Publications

  • Spectral asymmetry and Riemannian geometry. III

    M. F. Atiyah;V. K. Patodi;I. M. Singer

  • Self-duality in four-dimensional Riemannian geometry

    Michael Francis Atiyah;Nigel James Hitchin;I. M. Singer

  • R-Torsion and the Laplacian on Riemannian manifolds

    D.B. Ray;I.M. Singer

  • The Index of elliptic operators. 1

    M.F. Atiyah;I.M. Singer

  • Curvature and the Eigenvalues of the Laplacian

    H. P. McKean;I. M. Singer

  • Some remarks on the Gribov ambiguity

    I. M. Singer;I. M. Singer

  • The Index of elliptic operators. 3.

    Unknown

  • The index of elliptic operators on compact manifolds

    M. F. Atiyah;I. M. Singer

  • Analytic torsion for complex manifolds

    D.B. Ray;I.M. Singer

  • The Index of Elliptic Operators: IV

    M.F. Atiyah;I.M. Singer

  • Spectral Asymmetry and Riemannian Geometry

    M. F. Atiyah;V. K. Patodi;I. M. Singer

  • Chern-Simons perturbation theory. II

    Scott Axelrod;I. M. Singer

  • Quadratic functions in geometry, topology, and M-theory

    M.J. Hopkins;I.M. Singer

  • Dirac operators coupled to vector potentials

    M. F. Atiyah;I. M. Singer

  • Index theory for skew-adjoint fredholm operators

    Michael F. Atiyah;Isadore M. Singer

  • A THEOREM ON HOLONOMY

    W. Ambrose;I. M. Singer

  • Vertex Operators in Mathematics and Physics

    J. Lepowsky;S. Mandelstam;I. M. Singer

  • Lecture Notes on Elementary Topology and Geometry.

    Isadore Manuel Singer;John A Thorpe

  • The infinite groups of Lie and Cartan Part I, (The transitive groups)

    I. M. Singer;I. M. Singer;Shlomo Sternberg;Shlomo Sternberg

  • The Index of elliptic operators. 5.

    Unknown

  • EXTENSIONS OF PURE STATES.

    Richard V. Kadison;I. M. Singer

  • Derivations on commutative normed algebras

    I. M. Singer;J. Wermer

Frequent Co-Authors

Michael Atiyah
Michael Atiyah University of Edinburgh
Varghese Mathai
Varghese Mathai University of Adelaide
Richard V. Kadison
Richard V. Kadison University of Pennsylvania
Nigel Hitchin
Nigel Hitchin University of Oxford
Daniel S. Freed
Daniel S. Freed The University of Texas at Austin
David R. Morrison
David R. Morrison University of California, Santa Barbara

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