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- Samuel Eilenberg

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
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disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
43
Citations
13,771
105
World Ranking
1123
National Ranking
519

1986 - Wolf Prize in Mathematics for his fundamental work in algebraic topology and homological algebra.

1974 - Fellow of John Simon Guggenheim Memorial Foundation

1959 - Member of the National Academy of Sciences

1950 - Fellow of John Simon Guggenheim Memorial Foundation

1947 - Fellow of the American Association for the Advancement of Science (AAAS)

- Topology
- Pure mathematics
- Algebra

The scientist’s investigation covers issues in Pure mathematics, Discrete mathematics, Algebra, Homological algebra and Derived functor. Samuel Eilenberg undertakes multidisciplinary studies into Pure mathematics and Commutative ring in his work. His Coincidence point, Fixed-point theorem and Fixed-point property study, which is part of a larger body of work in Discrete mathematics, is frequently linked to Computation and Polynomial function theorems for zeros, bridging the gap between disciplines.

Equivariant cohomology, Factor system, Group cohomology, Cohomology and Galois cohomology are subfields of Algebra in which his conducts study. The various areas that he examines in his Homological algebra study include Topology, Quasi-isomorphism, Homology and Filtered algebra. His research integrates issues of Functor category, Limit, Adjoint functors and Distributive law between monads in his study of Derived functor.

- Automata, Languages, and Machines (1406 citations)
- Foundations of Algebraic Topology (1157 citations)
- Cohomology Theory of Lie Groups and Lie Algebras (752 citations)

Samuel Eilenberg focuses on Pure mathematics, Humanities, Algebra, Discrete mathematics and Homology. His Relative homology, Cellular homology, Functor, Homotopy group and Derived functor study are his primary interests in Pure mathematics. His study looks at the relationship between Functor and topics such as Eilenberg–Moore spectral sequence, which overlap with Homological algebra.

His is involved in several facets of Algebra study, as is seen by his studies on Group cohomology, Equivariant cohomology, Cohomology and Dimension. He has included themes like Geometry and topology, Persistent homology and Axiomatic system in his Homology study. His Geometry and topology study combines topics in areas such as Topological combinatorics and Combinatorics.

- Pure mathematics (36.46%)
- Humanities (16.67%)
- Algebra (15.62%)

- Pure mathematics (36.46%)
- Spectral sequence (5.21%)
- Discrete mathematics (17.71%)

His primary areas of study are Pure mathematics, Spectral sequence, Discrete mathematics, Homology and Homological algebra. All of his Pure mathematics and Derived functor and Global dimension investigations are sub-components of the entire Pure mathematics study. His Eilenberg–Moore spectral sequence study in the realm of Spectral sequence interacts with subjects such as Commutative ring.

His work on Adjunction expands to the thematically related Discrete mathematics. Samuel Eilenberg combines subjects such as Geometry and topology, Axiomatic system and Topological combinatorics with his study of Homology. His Homological algebra study is concerned with the larger field of Algebra.

- Automata, Languages, and Machines (1406 citations)
- Adjoint functors and triples (300 citations)
- Foundations of relative homological algebra (199 citations)

- Topology
- Algebra
- Pure mathematics

Samuel Eilenberg mostly deals with Homological algebra, Pure mathematics, Derived functor, Topology and Quasi-isomorphism. His Homological algebra research is multidisciplinary, relying on both Spectral sequence and Fibration. Samuel Eilenberg connects Pure mathematics with Calculus of functors in his study.

His Derived functor research incorporates themes from Eilenberg–Moore spectral sequence and Homology. Samuel Eilenberg has researched Topology in several fields, including Algebra and Filtered algebra.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Automata, Languages, and Machines

Samuel Eilenberg.

**(1974)**

2285 Citations

Automata, Languages, and Machines

Samuel Eilenberg.

**(1974)**

2285 Citations

Foundations of Algebraic Topology

Samuel Eilenberg;Norman Earl Steenrod.

**(1952)**

1958 Citations

Foundations of Algebraic Topology

Samuel Eilenberg;Norman Earl Steenrod.

**(1952)**

1958 Citations

Cohomology Theory of Lie Groups and Lie Algebras

Claude Chevalley;Samuel Eilenberg.

Transactions of the American Mathematical Society **(1948)**

1219 Citations

Cohomology Theory of Lie Groups and Lie Algebras

Claude Chevalley;Samuel Eilenberg.

Transactions of the American Mathematical Society **(1948)**

1219 Citations

General theory of natural equivalences

Samuel Eilenberg;Saunders MacLane.

Transactions of the American Mathematical Society **(1945)**

798 Citations

General theory of natural equivalences

Samuel Eilenberg;Saunders MacLane.

Transactions of the American Mathematical Society **(1945)**

798 Citations

On the Groups H(Π, n), I

Samuel Eilenberg;Saunders Mac Lane.

Annals of Mathematics **(1953)**

464 Citations

On the Groups H(Π, n), I

Samuel Eilenberg;Saunders Mac Lane.

Annals of Mathematics **(1953)**

464 Citations

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