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.

**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.

- Self-duality in four-dimensional Riemannian geometry
- Spectral Asymmetry and Riemannian Geometry
- The Index of elliptic operators. 1
- Recent Developments in Gauge Theories
- R-Torsion and the Laplacian on Riemannian manifolds
- The Index of elliptic operators. 3.
- Spectral asymmetry and Riemannian geometry I
- Curvature and the Eigenvalues of the Laplacian
- The Index of Elliptic Operators: IV
- Some remarks on the Gribov ambiguity
- The index of elliptic operators on compact manifolds
- The Index of elliptic operators. 5.
- Analytic torsion for complex manifolds
- Chern-Simons perturbation theory. II
- Dirac operators coupled to vector potentials.
- Quadratic functions in geometry, topology, and M-theory
- Lecture Notes on Elementary Topology and Geometry.
- Index theory for skew-adjoint fredholm operators
- A THEOREM ON HOLONOMY
- The infinite groups of Lie and Cartan Part I, (The transitive groups)
- Chern-Simons Perturbation Theory
- Derivations on commutative normed algebras
- EXTENSIONS OF PURE STATES.
- Recent Developments in Gauge Theories. Proceedings, Nato Advanced Study Institute, Cargese, France, August 26 - September 8, 1979
- Infinitesimally homogeneous spaces
- Topological Yang-Mills symmetry
- Progress in Gauge Field Theory
- Special Quantum Field Theories¶in Eight and Other Dimensions
- On homogeneous Riemannian manifolds
- Some comments on Chern-Simons gauge theory
- Gravitational anomalies and the family's index theorem
- Triangular Operator Algebras: Fundamentals and Hyperreducible Theory
- The Geometry of the Orbit Space for Non-Abelian Gauge Theories
- Automorphisms of Finite Factors
- The topological sigma model
- Deformations of instantons.
- Eta invariants, signature defects of cusps, and values of L-functions
- GENERALIZED ANALYTIC FUNCTIONS
- C*-algebras of operators on a half-space II: Index theory
- C*-algebras of almost periodic pseudo-differential operators
- Some remarks on operator theory and index theory
- The curvature of 4-dimensional Einstein spaces
- North-Holland Mathematical Library
- Maximal algebras of continuous functions
- Modular forms and the cosmological constant
- FUTURE EXTENSIONS OF INDEX THEORY AND ELLIPTIC OPERATORS
- Prospects in Mathematics
- FRACTIONAL ANALYTIC INDEX
- Extending ∂ to singular Riemann surfaces
- Function values as boundary integrals
- The index of projective families of elliptic operators: the decomposable case
- Conformally invariant gauge fixed actions for 2-D topological gravity
- Quantum mechanics and the geometry of the Weyl character formula
- SMALL EIGENVALUES OF THE LAPLACE OPERATOR ON COMPACT RIEMANN SURFACES
- The geometric interpretation of a special connection
- X-THEORY AND REALITY
- Maximal Subalgebras of C(\mathbbΓ)
- Cohomological Yang-Mills theory in eight-dimensions
- Three test problems in operator theory
- An index theorem for Wiener-Hopf operators on the discrete quarter-plane
- Uniformly Continuous Representations of Lie Groups
- ORDER-PRESERVING ISOMORPHISMS BETWEEN ALGEBRAS OF PSEUDODIFFERENTIAL OPERATORS
- Twisted K-homology theory, twisted Ext-theory
- 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
- On the Master Field in Two Dimensions
- Some Remarks on Representations of Connected Groups.
- The Chern Symposium 1979
- Vertex Operators in Mathematics and Physics
- Some point set topology
- Beyond the elliptic genus
- Recent applications of index theory for elliptic operators
- Equivariant and fractional index of projective elliptic operators
- The supersymmetric σ-model and the geometry of the Weyl-Kač character formula
- K-Theory and Operator Algebras
- Eigenvalues of the Laplacian and Invariants of Manifolds
- Differential geometry, fiber bundles and physical theories
- Vertex operators in mathematics and physics : proceedings of a conference, November 10-17, 1983
- Geometry and physics : essays in honour of I.M. Gelfand
- The unity of mathematics : in honor of the ninetieth birthday of I.M. Gelfand
- The Unity of Mathematics
- A geometrical model showing the independence of locality and positivity of the energy
- Measures on Banach Manifolds , Random Surfaces , and Nonperturbative String Field Theory with Cut-offs
- GEOMETRY OF PSEUDODIFFERENTIAL ALGEBRA BUNDLES AND FOURIER INTEGRAL OPERATORS
- On Yang-Mills Fields
- GEOMETRIC STRUCTURE AND CLASSIFICATION OF INFINITE-DIMENSIONAL HALFSPACES
- Quantum Field Theory, Supersymmetry, and Enumerative Geometry
- Lefschetz Fixed Point Formula for Manifolds with Cylindrical Ends
- Geometry and analysis of Shimizu L-functions.
- The current interface of geometry and elementary particle physics
- Imbedded manifolds in R 3
- More point set topology
- Quantum Field Theory, Supersymmetry, and Enumerative Geometry: IAS Park City Mathematics Series, Volume II
- The Chern Symposium 1979 : proceedings of the International Symposium on Differential Geometry in honor of S.-S. Chern, held in Berkeley, California, June 1979
- Homology theory and the De Rham theory
- STRUCTURE OF SUBALGEBRAS BETWEEN L00
- PR ] 4 D ec 2 01 4 LOCAL LIMIT THEOREMS FOR MARKOV CHAINS WITH TREND COMPONENT OF LINEAR GROWTH
- I.M: Fractional analytic index
- Dirac operators coupled to vector potentials: (elliptic operators/index theory/characteristic classes/anomalies/gauge fields)
- Beyond the string genus
- Elliptic Operators on Manifolds
- Elementary Particles and the Universe: The New Mathematical Physics
- Intrinsic Riemannian geometry of surfaces
- THE EINSTEIN CONNECTION OF THE UNIFIED THEORY OF RELA TI VITY
- Nominations for President Elect, Volume 52, Number 8
- A ug 2 00 3 Complex anti-self-dual instantons and Cayley submanifolds
- K-theory and operator algebras : proceedings of a conference held at the University of Georgia in Athens, Georgia, April 21-25, 1975
- Classes of invariant operators on certain manifolds
- Prospects in Mathematics. (AM-70)
- FINAL REPORT: GEOMETRY AND ELEMENTARY PARTICLE PHYSICS
- Fundamental group and covering spaces

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