Isadore Singer

Q: What Schools Are Affiliated With Isadore Singer

Isadore Singer is affiliated with the following schools: University of California, Berkeley, University of Chicago, Massachusetts Institute of Technology, Columbia University, University of Michigan, University of California, Los Angeles

Isadore Singer's AcademicInfluence.com Rankings

Mathematics

#79

World Rank

#221

Historical Rank

#31

USA Rank

Differential Geometry

World Rank

#13

Historical Rank

USA Rank

Algebraic Geometry

#54

World Rank

#58

Historical Rank

#15

USA Rank

Measure Theory

#549

World Rank

#777

Historical Rank

#234

USA Rank

mathematics Degrees

Why Is Isadore Singer Influential?

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By Erik J. Larson, PhD

Singer is an Institute Professor of Mathematics at the Massachusetts Institute of Technology (MIT). (An Institute Professor title is the highest that can be awarded at MIT.) Singer is also Professor Emeritus of Mathematics at the University of California, Berkeley. He has a bachelor’s degree in Mathematics from the University of Michigan, and was awarded a master’s in 1948 and his Ph.D. in Mathematics from the University of Chicago in 1950. He has taught mathematics at MIT for most of his long and distinguished career.

Singer, along with mathematician Michael Atiyah, proved a major result in 1962, known as the Atiyah-Singer index theorem, which establishes a key theoretical bridge between pure mathematics and theoretical physics. Among other important results, Singer also invented an entirely new subfield in mathematics, known as “triangulated operator algebras.” He also co-founded the world-renowned Mathematical Sciences Research Institute (MSRI).

In the 1980s, Singer served as chair of the Committee of Science & Public Policy of the United States National Academy of Sciences and on the Governing Board of the United States National Research Council in the 1990s. He has received numerous awards for his work in mathematics, including the National Medal of Science in 1983, an honor awarded by the President of the United States.

Academic Website

Featured in Top Influential Mathematicians Today

According to Wikipedia, Isadore Manuel Singer was an American mathematician. He was an Emeritus Institute Professor in the Department of Mathematics at the Massachusetts Institute of Technology and a Professor Emeritus of Mathematics at the University of California, Berkeley.

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Isadore Singer's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Papers

Spectral asymmetry and Riemannian Geometry. I (1973) (1897)
Self-duality in four-dimensional Riemannian geometry (1978) (1477)
R-Torsion and the Laplacian on Riemannian manifolds (1971) (975)
Recent Developments in Gauge Theories (1980) (973)
The Index of elliptic operators. 3. (1968) (937)
The Index of Elliptic Operators: IV (1971) (907)
The Index of elliptic operators. 1 (1968) (898)
Curvature and the Eigenvalues of the Laplacian (1967) (859)
Some remarks on the Gribov ambiguity (1978) (600)
The index of elliptic operators on compact manifolds (1963) (573)
Analytic torsion for complex manifolds (1973) (474)
Quadratic functions in geometry, topology, and M-theory (2002) (385)
Chern-Simons perturbation theory. II (1993) (368)
Dirac operators coupled to vector potentials. (1984) (353)
Index theory for skew-adjoint fredholm operators (1969) (333)
The Index of elliptic operators. 5. (1971) (329)
Lecture Notes on Elementary Topology and Geometry. (1967) (310)
A THEOREM ON HOLONOMY (1953) (300)
The infinite groups of Lie and Cartan Part I, (The transitive groups) (1965) (294)
Chern-Simons Perturbation Theory (1991) (291)
EXTENSIONS OF PURE STATES. (1959) (248)
Derivations on commutative normed algebras (1955) (248)
Recent Developments in Gauge Theories. Proceedings, Nato Advanced Study Institute, Cargese, France, August 26 - September 8, 1979 (1980) (239)
Infinitesimally homogeneous spaces (1960) (228)
Topological Yang-Mills symmetry (1988) (206)
Progress in Gauge Field Theory (1984) (170)
Special Quantum Field Theories¶in Eight and Other Dimensions (1997) (157)
Some comments on Chern-Simons gauge theory (1989) (133)
North-Holland Mathematical Library (2005) (130)
Gravitational anomalies and the family's index theorem (1984) (116)
On homogeneous Riemannian manifolds (1958) (112)
The Geometry of the Orbit Space for Non-Abelian Gauge Theories (1981) (107)
Triangular Operator Algebras: Fundamentals and Hyperreducible Theory (1960) (102)
Automorphisms of Finite Factors (1955) (101)
The topological sigma model (1989) (94)
Deformations of instantons. (1977) (85)
The curvature of 4-dimensional Einstein spaces (2015) (80)
Eta invariants, signature defects of cusps, and values of L-functions (1983) (78)
C*-algebras of almost periodic pseudo-differential operators (1973) (72)
C*-algebras of operators on a half-space II: Index theory (1971) (69)
Some remarks on operator theory and index theory (1977) (68)
GENERALIZED ANALYTIC FUNCTIONS (1956) (61)
FUTURE EXTENSIONS OF INDEX THEORY AND ELLIPTIC OPERATORS (1972) (48)
Modular forms and the cosmological constant (1986) (47)
Prospects in Mathematics (1971) (46)
Maximal algebras of continuous functions (1960) (41)
FRACTIONAL ANALYTIC INDEX (2004) (41)
Function values as boundary integrals (1954) (41)
Extending ∂ to singular Riemann surfaces (1988) (39)
The index of projective families of elliptic operators: the decomposable case (2002) (39)
Conformally invariant gauge fixed actions for 2-D topological gravity (1991) (39)
Cohomological Yang-Mills theory in eight-dimensions (1997) (33)
SMALL EIGENVALUES OF THE LAPLACE OPERATOR ON COMPACT RIEMANN SURFACES (2007) (32)
The geometric interpretation of a special connection (1959) (29)
Uniformly Continuous Representations of Lie Groups (1952) (28)
An index theorem for Wiener-Hopf operators on the discrete quarter-plane (1972) (26)
Maximal Subalgebras of C(\mathbbΓ) (1957) (24)
Three test problems in operator theory (1957) (23)
Coxeter Graphs and Towers of Algebras (2011) (23)
Vertex Operators in Mathematics and Physics (2013) (20)
The Chern Symposium 1979 (1980) (18)
ORDER-PRESERVING ISOMORPHISMS BETWEEN ALGEBRAS OF PSEUDODIFFERENTIAL OPERATORS (1976) (18)
On the Master Field in Two Dimensions (1995) (18)
Twisted K-homology theory, twisted Ext-theory (2000) (18)
The legacy of Norbert Wiener : a centennial symposium in honor of the 100th anniversary of Norbert Wiener's birth, October 8-14, 1994, Massachusetts Institute of Technology, Cambridge, Massachusetts (1997) (18)
Some Remarks on Representations of Connected Groups. (1952) (18)
Beyond the elliptic genus (2001) (14)
Recent applications of index theory for elliptic operators (1971) (14)
Equivariant and fractional index of projective elliptic operators (2006) (14)
Some point set topology (1967) (13)
The unity of mathematics : in honor of the ninetieth birthday of I.M. Gelfand (2006) (10)
K-Theory and Operator Algebras (1977) (8)
X-THEORY AND REALITY (1966) (8)
The supersymmetric σ-model and the geometry of the Weyl-Kač character formula (1991) (8)
Eigenvalues of the Laplacian and Invariants of Manifolds (2010) (7)
Differential geometry, fiber bundles and physical theories (1982) (6)
A geometrical model showing the independence of locality and positivity of the energy (1968) (5)
Geometry and physics : essays in honour of I.M. Gelfand (1991) (5)
Vertex operators in mathematics and physics : proceedings of a conference, November 10-17, 1983 (1985) (5)
GEOMETRY OF PSEUDODIFFERENTIAL ALGEBRA BUNDLES AND FOURIER INTEGRAL OPERATORS (2012) (3)
The Unity of Mathematics (2007) (2)
GEOMETRIC STRUCTURE AND CLASSIFICATION OF INFINITE-DIMENSIONAL HALFSPACES (2007) (2)
Measures on Banach Manifolds , Random Surfaces , and Nonperturbative String Field Theory with Cut-offs (2009) (2)
On Yang-Mills Fields (1982) (1)
Geometry and analysis of Shimizu L-functions. (1982) (1)
Homology theory and the De Rham theory (1967) (0)
Imbedded manifolds in R 3 (1967) (0)
Elliptic Operators on Manifolds (2010) (0)
THE EINSTEIN CONNECTION OF THE UNIFIED THEORY OF RELA TI VITY (0)
Complex anti-self-dual instantons and Cayley submanifolds (2008) (0)
Dirac operators coupled to vector potentials: (elliptic operators/index theory/characteristic classes/anomalies/gauge fields) (1989) (0)
Prospects in Mathematics. (AM-70) (1972) (0)
Nominations for President Elect, Volume 52, Number 8 (2005) (0)
The Chern Symposium 1979 : proceedings of the International Symposium on Differential Geometry in honor of S.-S. Chern, held in Berkeley, California, June 1979 (1980) (0)
STRUCTURE OF SUBALGEBRAS BETWEEN L00 (2010) (0)
Beyond the string genus (2011) (0)
Intrinsic Riemannian geometry of surfaces (1967) (0)
Quantum Field Theory, Supersymmetry, and Enumerative Geometry: IAS Park City Mathematics Series, Volume II (2006) (0)
I.M: Fractional analytic index (0)
Lefschetz Fixed Point Formula for Manifolds with Cylindrical Ends (1991) (0)
Fundamental group and covering spaces (1967) (0)
PR ] 4 D ec 2 01 4 LOCAL LIMIT THEOREMS FOR MARKOV CHAINS WITH TREND COMPONENT OF LINEAR GROWTH (0)
FINAL REPORT: GEOMETRY AND ELEMENTARY PARTICLE PHYSICS (2008) (0)
More point set topology (1967) (0)
The current interface of geometry and elementary particle physics (1994) (0)
Elementary Particles and the Universe: The New Mathematical Physics (1991) (0)
K-theory and operator algebras : proceedings of a conference held at the University of Georgia in Athens, Georgia, April 21-25, 1975 (1977) (0)

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What Schools Are Affiliated With Isadore Singer?

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