What is he best known for?
The fields of study he is best known for:
- Algebra
- Pure mathematics
- Vector space
His primary areas of study are Pure mathematics, Algebra, Triangulated category, Discrete mathematics and Closed category.
Henning Krause integrates Pure mathematics and Stable homotopy theory in his studies.
As a member of one scientific family, Henning Krause mostly works in the field of Algebra, focusing on Spectrum and, on occasion, Grothendieck category, Topology, Isomorphism-closed subcategory, Functor category and Natural transformation.
He has included themes like Ring and Subcategory in his Triangulated category study.
His Closed category study combines topics from a wide range of disciplines, such as Homotopy category and Concrete category.
Many of his research projects under Derived category are closely connected to Category of rings with Category of rings, tying the diverse disciplines of science together.
His most cited work include:
- the stable derived category of a noetherian scheme (329 citations)
- Local cohomology and support for triangulated categories (173 citations)
- Localization theory for triangulated categories (170 citations)
What are the main themes of his work throughout his whole career to date?
The scientist’s investigation covers issues in Pure mathematics, Algebra, Derived category, Discrete mathematics and Triangulated category.
His Pure mathematics research includes elements of Ring and Finite group.
His Algebra research incorporates elements of Stratification and Algebra over a field.
His Derived category research is multidisciplinary, incorporating elements of Natural transformation, Noetherian scheme, Abelian category, Cohomology and Closed category.
In the field of Discrete mathematics, his study on Indecomposable module and Category of abelian groups overlaps with subjects such as Differential graded algebra.
His biological study spans a wide range of topics, including Commutative property, Complete intersection, Tensor product, Subcategory and Local ring.
He most often published in these fields:
- Pure mathematics (64.04%)
- Algebra (33.15%)
- Derived category (23.60%)
What were the highlights of his more recent work (between 2014-2021)?
- Pure mathematics (64.04%)
- Algebra (33.15%)
- Finite group (13.48%)
In recent papers he was focusing on the following fields of study:
Pure mathematics, Algebra, Finite group, Abelian group and Derived category are his primary areas of study.
His Pure mathematics study frequently draws connections between related disciplines such as Ring.
As a part of the same scientific family, he mostly works in the field of Algebra, focusing on Stratification and, on occasion, Library science.
His research investigates the connection with Finite group and areas like Scheme which intersect with concerns in Cohomology ring.
Derived category is a subfield of Discrete mathematics that Henning Krause tackles.
Henning Krause combines subjects such as Schur complement and Schur decomposition with his study of Discrete mathematics.
Between 2014 and 2021, his most popular works were:
- Krull–Schmidt categories and projective covers (83 citations)
- Deriving Auslander's formula (35 citations)
- A categorification of non-crossing partitions (20 citations)
In his most recent research, the most cited papers focused on:
- Pure mathematics
- Algebra
- Vector space
His primary scientific interests are in Pure mathematics, Algebra, Finite group, Stratification and Functor.
His work on Abelian group, Triangulated category and Derived category as part of his general Pure mathematics study is frequently connected to Object, thereby bridging the divide between different branches of science.
The concepts of his Derived category study are interwoven with issues in Closed category and Abelian category.
His study in the field of Homological algebra and Representation theory also crosses realms of Current.
He has researched Stratification in several fields, including Stable module category and Isomorphism-closed subcategory.
The Functor study combines topics in areas such as Noetherian ring, Local cohomology, Topological space and Integer.
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