Bernhard Keller
Bernhard Keller is a Swiss mathematician, specializing in algebra. He is a professor at the University of Paris VII.
Keller received in 1990 his PhD from the University of Zurich under Pierre Gabriel with thesis On Derived Categories.
His research is in homological algebra and the representation theory of quivers and finite-dimensional algebras. He has applied triangulated Calabi-Yau categories to the categorification
of cluster algebras.
In 2014 he received the Sophie Germain Prize. He was an Invited Speaker with a talk On differential graded categories at the International Congress of Mathematicians in Madrid in 2006, and is a fellow of the American Mathematical Society.Selected works
- with Idun Reiten: Cluster-tilted algebras are Gorenstein and stably Calabi-Yau, Advances in Mathematics, vol. 211, 2007, pp. 123–151
- Cluster algebras, quiver representations and triangulated categories, Proceedings of the Workshop on Triangulated Categories, Leeds, 2006,
- Derived categories and their uses, in M. Hazewinkel : Handbook of algebra, vol. 1, Elsevier 1996.
- Algèbres amassées et applications, d'après Fomin-Zelevinsky, …, Bourbaki Seminar Number 1014, 2009
