Bernhard Keller

Bernhard Keller (born 1962) is a Swiss mathematician, specializing in algebra. He is a professor at the University of Paris.

Bernhard Keller
Keller in Oberwolfach, 2011
Born1962
NationalitySwiss
Alma materUniversity of Zurich
AwardsSophie Germain Prize
Scientific career
FieldsAlgebra
InstitutionsUniversity of Paris VII
ThesisOn Derived Categories (1990)
Doctoral advisorPierre Gabriel
Websitehttps://webusers.imj-prg.fr/~bernhard.keller/indexe.html

Keller received in 1990 his PhD from the University of Zurich under Pierre Gabriel with the thesis On Derived Categories.[1]

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 (additive) categorification of cluster algebras. In 2013, he received an honorary degree[2] from the University of Antwerp. In 2014 he received the Sophie Germain Prize. He was an Invited Speaker at the International Congress of Mathematicians in Madrid in 2006,[3] with a talk On differential graded categories. Keller is a fellow of the American Mathematical Society.[4]

Selected works
  • with Idun Reiten: "Cluster-tilted algebras are Gorenstein and stably Calabi-Yau". Advances in Mathematics. 211 (1): 123–151. 2007. arXiv:math/0512471. doi:10.1016/j.aim.2006.07.013.[5]
  • "Cluster algebras, quiver representations and triangulated categories". Triangulated Categories. London Mathematical Society Lecture Note Series. Vol. 375. 2010. pp. 76–160. arXiv:0807.1960. doi:10.1017/CBO9781139107075.004.
  • "Derived categories and their uses". Handbook of Algebra. Vol. 1. 1996. pp. 671–701. doi:10.1016/S1570-7954(96)80023-4.
  • "Exposé Bourbaki 1014 : Algèbres amassées et applications, d'après Fomin-Zelevinsky" (PDF). Astérisque. 339: 63–90. 2011.

References
  1. Bernhard Keller at the Mathematics Genealogy Project
  2. List of honorary degrees of the University of Anwerp in 2013, retrieved 2020-09-01.
  3. Keller, B. (2006). "On differential graded categories". International Congress of Mathematicians, Vol. II (PDF). pp. 151–190. Archived from the original (PDF) on 2016-04-27. Retrieved 2016-04-02.
  4. List of Fellows of the American Mathematical Society, retrieved 2016-04-27.
  5. Keller, Science Watch
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