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- Bernhard Keller

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
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Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
41
Citations
8,837
86
World Ranking
1270
National Ranking
65

2013 - Fellow of the American Mathematical Society

- 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.

- Deriving DG categories (785 citations)
- On triangulated orbit categories. (565 citations)
- On differential graded categories (352 citations)

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.

- Pure mathematics (60.71%)
- Algebra (27.68%)
- Cluster algebra (26.79%)

- Pure mathematics (60.71%)
- Cohomology (10.71%)
- Differential (8.04%)

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.

- A survey on maximal green sequences (14 citations)
- Cluster categories and rational curves (11 citations)
- Singular Hochschild cohomology via the singularity category (9 citations)

- 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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

On triangulated orbit categories.

Bernhard Keller.

Documenta Mathematica **(2005)**

855 Citations

Deriving DG categories

Bernhard Keller.

Annales Scientifiques De L Ecole Normale Superieure **(1994)**

819 Citations

On differential graded categories

Bernhard Keller.

Proceedings oh the International Congress of Mathematicians: Madrid, August 22-30,2006 : invited lectures, Vol. 2, 2006, ISBN 978-3-03719-022-7, págs. 151-190 **(2006)**

572 Citations

Introduction to $A$-infinity algebras and modules

Bernhard Keller.

Homology, Homotopy and Applications **(2001)**

415 Citations

Chain complexes and stable categories.

Bernhard Keller.

Manuscripta Mathematica **(1990)**

396 Citations

Cluster-tilted algebras are Gorenstein and stably Calabi–Yau

Bernhard Keller;Idun Reiten.

Advances in Mathematics **(2007)**

355 Citations

Cluster algebras, quiver representations and triangulated categories

Bernhard Keller.

arXiv: Representation Theory **(2010)**

346 Citations

From triangulated categories to cluster algebras

Philippe Caldero;Bernhard Keller.

Inventiones Mathematicae **(2008)**

305 Citations

On the cyclic homology of exact categories

Bernhard Keller.

Journal of Pure and Applied Algebra **(1999)**

304 Citations

Derived Categories and Their Uses

Bernhard Keller.

Handbook of Algebra **(1996)**

297 Citations

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