What is he best known for?
The fields of study he is best known for:
- Algebra
- Pure mathematics
- Mathematical analysis
Pure mathematics, Derived category, Algebra, Cluster algebra and Triangulated category are his primary areas of study.
Pure mathematics is frequently linked to Infinity in his study.
His studies in Derived category integrate themes in fields like Homotopy category, Exact category and Homological algebra.
In the field of Algebra, his study on Differential graded category overlaps with subjects such as Differential.
His study in Cluster algebra is interdisciplinary in nature, drawing from both Tilting theory and Quiver.
His study looks at the relationship between Triangulated category and topics such as Category theory, which overlap with Stable module category, Grothendieck group, Lie algebra and Koszul duality.
His most cited work include:
- Deriving DG categories (785 citations)
- On triangulated orbit categories. (565 citations)
- On differential graded categories (352 citations)
What are the main themes of his work throughout his whole career to date?
His scientific interests lie mostly in Pure mathematics, Algebra, Cluster algebra, Derived category and Combinatorics.
His research on Pure mathematics frequently links to adjacent areas such as Discrete mathematics.
His Algebra research is multidisciplinary, relying on both Quadratic algebra and Algebra representation.
His Cluster algebra study combines topics in areas such as Conjecture, Representation theory, Categorification and Basis.
The various areas that Bernhard Keller examines in his Derived category study include Abelian category, Homotopy, Cohomology, Bounded function and Homological algebra.
As a part of the same scientific family, Bernhard Keller mostly works in the field of Combinatorics, focusing on Algebraic geometry and, on occasion, Number theory.
He most often published in these fields:
- Pure mathematics (60.71%)
- Algebra (27.68%)
- Cluster algebra (26.79%)
What were the highlights of his more recent work (between 2017-2021)?
- Pure mathematics (60.71%)
- Cohomology (10.71%)
- Differential (8.04%)
In recent papers he was focusing on the following fields of study:
His primary areas of investigation include Pure mathematics, Cohomology, Differential, Functor and Algebra over a field.
His research on Pure mathematics often connects related areas such as Cluster algebra.
His Cluster algebra research is multidisciplinary, incorporating perspectives in Function, Perverse sheaf and Quiver.
The Cohomology study combines topics in areas such as Singularity, Koszul duality and Contractible space.
Bernhard Keller interconnects Noetherian, Global dimension, Abelian category and Endomorphism ring in the investigation of issues within Derived category.
His research integrates issues of Ring, Coherent ring, Noetherian scheme, Triangulated category and Abelian group in his study of Coherent sheaf.
Between 2017 and 2021, his most popular works were:
- A survey on maximal green sequences (14 citations)
- Cluster categories and rational curves (11 citations)
- Singular Hochschild cohomology via the singularity category (9 citations)
In his most recent research, the most cited papers focused on:
- Algebra
- Pure mathematics
- Mathematical analysis
Bernhard Keller focuses on Pure mathematics, Algebra over a field, Differential, Cohomology and Algebra.
In most of his Pure mathematics studies, his work intersects topics such as Cluster algebra.
His Algebra over a field research includes themes of Singularity and Isomorphism.
His work deals with themes such as Noncommutative geometry, Sheaf and Contractible space, Combinatorics, which intersect with Cohomology.
He conducts interdisciplinary study in the fields of Algebra and Calculus through his works.
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