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

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

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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