What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- Vector bundles and projective modules (497 citations)
- Induced Representations and Projective Modules (287 citations)
- Groups of cohomological dimension one (242 citations)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Pure mathematics (55.71%)
- Algebra (22.86%)
- Topology (20.00%)
What were the highlights of his more recent work (between 2004-2019)?
- Pure mathematics (55.71%)
- Algebra (22.86%)
- Projective module (17.14%)
In recent papers he was focusing on the following fields of study:
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.
Between 2004 and 2019, his most popular works were:
- 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)
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