What is he best known for?
The fields of study he is best known for:
- Algebra
- Pure mathematics
- Vector space
Claus Michael Ringel spends much of his time researching Indecomposable module, Pure mathematics, Combinatorics, Discrete mathematics and Algebra.
His study of Artin algebra is a part of Indecomposable module.
His Artin algebra research is multidisciplinary, relying on both Functor, Subspace topology, Mathematical proof, Tilting theory and Notation.
His studies deal with areas such as Ring, Quiver and Nest algebra as well as Combinatorics.
His Discrete mathematics research incorporates themes from Order, Restricted representation and Field.
Claus Michael Ringel interconnects Quantum group, Algebra over a field and Hall algebra in the investigation of issues within Algebra.
His most cited work include:
- Tame Algebras and Integral Quadratic Forms (1325 citations)
- Indecomposable representations of graphs and algebras (585 citations)
- Hall algebras and quantum groups (511 citations)
What are the main themes of his work throughout his whole career to date?
His main research concerns Pure mathematics, Algebra, Indecomposable module, Quiver and Combinatorics.
As part of the same scientific family, Claus Michael Ringel usually focuses on Pure mathematics, concentrating on Discrete mathematics and intersecting with Ring.
His Algebra research incorporates elements of Trivial representation and Algebra representation.
Claus Michael Ringel works mostly in the field of Indecomposable module, limiting it down to concerns involving Field and, occasionally, Order and Representation.
His Quiver study also includes
- Grassmannian which is related to area like Variety,
- Partition that intertwine with fields like Binomial coefficient.
His Combinatorics research integrates issues from Functor, Linear map and Dynkin diagram.
He most often published in these fields:
- Pure mathematics (60.68%)
- Algebra (32.48%)
- Indecomposable module (31.20%)
What were the highlights of his more recent work (between 2009-2021)?
- Pure mathematics (60.68%)
- Quiver (30.77%)
- Combinatorics (29.06%)
In recent papers he was focusing on the following fields of study:
His scientific interests lie mostly in Pure mathematics, Quiver, Combinatorics, Algebra and Indecomposable module.
Algebra over a field, Artin algebra, Projective test, Subcategory and Projective variety are the core of his Pure mathematics study.
His work deals with themes such as Covering space, Representation theory, Kronecker delta, Grassmannian and Partition, which intersect with Quiver.
Claus Michael Ringel has researched Combinatorics in several fields, including Discrete mathematics, Functor and Basis.
His research brings together the fields of Algebra representation and Algebra.
His work in Indecomposable module addresses subjects such as Vector space, which are connected to disciplines such as Image.
Between 2009 and 2021, his most popular works were:
- Representations of quivers over the algebra of dual numbers (52 citations)
- The Gorenstein projective modules for the Nakayama algebras. I (42 citations)
- The Gorenstein projective modules for the Nakayama algebras. I (42 citations)
In his most recent research, the most cited papers focused on:
- Algebra
- Vector space
- Pure mathematics
His primary areas of study are Pure mathematics, Quiver, Algebra, Indecomposable module and Artin algebra.
The Pure mathematics study combines topics in areas such as Structure and Bounded function.
His Quiver research is multidisciplinary, incorporating perspectives in Projective variety, Grassmannian and Field.
Discrete mathematics and Combinatorics are the focus of his Indecomposable module studies.
His research in Artin algebra intersects with topics in Global dimension, Morphism, Mathematical proof and Endomorphism ring.
The various areas that he examines in his Projective test study include Isomorphism, Algebra over a field and Homomorphism.
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