2017 - Fellow of the American Mathematical Society For contributions to representation theory and homological algebra, and for service to the mathematical community.
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.
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.
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.
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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the stable derived category of a noetherian scheme
Compositio Mathematica (2005)
Localization theory for triangulated categories
arXiv: Category Theory (2010)
Smashing subcategories and the telescope conjecture - an algebraic approach
Inventiones Mathematicae (2000)
Local cohomology and support for triangulated categories
Dave Benson;Srikanth B. Iyengar;Henning Krause.
Annales Scientifiques De L Ecole Normale Superieure (2008)
Acyclicity Versus Total Acyclicity for Complexes over Noetherian Rings
Srikanth Iyengar;Henning Krause.
Documenta Mathematica (2006)
A Brown representability theorem via coherent functors
Krull–Schmidt categories and projective covers
Expositiones Mathematicae (2015)
Handbook of Tilting Theory
Lidia Angeleri Hügel;Dieter Happel;Henning Krause.
The Spectrum of a Module Category
Maps between tree and band modules
Journal of Algebra (1991)
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