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- Richard G. Swan

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
32
Citations
6,257
68
World Ranking
2334
National Ranking
991

1976 - Member of the National Academy of Sciences

1970 - Frank Nelson Cole Prize in Algebra

1961 - Fellow of Alfred P. Sloan Foundation

- Algebra
- Pure mathematics
- Topology

His primary scientific interests are in Pure mathematics, Algebra, Topology, Combinatorics and Discrete mathematics. Richard G. Swan interconnects Gegenbauer polynomials, Irreducible polynomial, Polynomial greatest common divisor, Factorization of polynomials and Factorization of polynomials over finite fields in the investigation of issues within Pure mathematics. His research in Algebra intersects with topics in Projective cover and Projective test.

His Topology research incorporates themes from Projective space and Projective module. Richard G. Swan combines subjects such as Affine variety, Complex projective space and Principal bundle, Vector bundle, Serre–Swan theorem with his study of Projective module. He has included themes like Chain, Order and Category theory in his Discrete mathematics study.

- Vector bundles and projective modules (497 citations)
- Induced Representations and Projective Modules (287 citations)
- Groups of cohomological dimension one (242 citations)

His primary areas of study are Pure mathematics, Algebra, Topology, Discrete mathematics and Projective module. His Pure mathematics study integrates concerns from other disciplines, such as Algebraic number and Dimension of an algebraic variety. In his work, Polynomial, Extension and Commutative ring is strongly intertwined with Combinatorics, which is a subfield of Algebra.

His work on Cohomology, Equivariant cohomology and De Rham cohomology is typically connected to DUAL as part of general Topology study, connecting several disciplines of science. His Discrete mathematics research is multidisciplinary, incorporating elements of Order and Ideal. The Projective module study combines topics in areas such as Structure, Projective space, Idempotence, Projective cover and Space.

- Pure mathematics (55.71%)
- Algebra (22.86%)
- Topology (20.00%)

- Pure mathematics (55.71%)
- Algebra (22.86%)
- Projective module (17.14%)

Richard G. Swan mainly investigates Pure mathematics, Algebra, Projective module, Dimension and Affine transformation. The study incorporates disciplines such as Noetherian, Discrete mathematics and Ideal in addition to Pure mathematics. His biological study spans a wide range of topics, including Vector bundle, Projective cover and Projective test.

His Projective module research is multidisciplinary, incorporating perspectives in Structure, Idempotence, Von Neumann architecture, Space and Symplectic geometry. He works mostly in the field of Structure, limiting it down to topics relating to Matrix and, in certain cases, Commutative ring. His Dimension study combines topics in areas such as Algebraically closed field, Algebra over a field and Rank.

- On Stably Free Modules over Affine Algebras (31 citations)
- On stably free modules over affine algebras (24 citations)
- K-theory of coherent rings (4 citations)

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.

Vector bundles and projective modules

Richard G. Swan.

Transactions of the American Mathematical Society **(1962)**

800 Citations

Induced Representations and Projective Modules

Richard G. Swan.

Annals of Mathematics **(1960)**

444 Citations

Groups of cohomological dimension one

Richard G. Swan.

Journal of Algebra **(1969)**

374 Citations

Algebraic K-theory

Richard G. Swan.

**(1968)**

350 Citations

Periodic Resolutions for Finite Groups

Richard G. Swan.

Annals of Mathematics **(1960)**

330 Citations

Generators and relations for certain special linear groups

Richard G Swan.

Advances in Mathematics **(1971)**

318 Citations

Factorization of polynomials over finite fields.

Richard G. Swan.

Pacific Journal of Mathematics **(1962)**

285 Citations

The Whitehead group of a polynomial extension

Hyman Bass;Alex Heller;Richard G. Swan.

Publications Mathématiques de l'IHÉS **(1964)**

263 Citations

K-Theory of Finite Groups and Orders

Richard G. Swan;E. Graham Evans.

**(1970)**

255 Citations

Invariant rational functions and a problem of Steenrod

Richard G. Swan.

Inventiones Mathematicae **(1969)**

232 Citations

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