Bernhard Keller

Bernhard Keller
Keller in Oberwolfach, 2011
Born	1962 (age 62–63)
Alma mater	University of Zurich
Awards	Sophie Germain Prize
Scientific career
Fields	Algebra
Institutions	University of Paris VII
Thesis	On Derived Categories  (1990)
Doctoral advisor	Pierre Gabriel
Website	https://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: Keller, Bernhard; Reiten, Idun (2007). "Cluster-tilted algebras are Gorenstein and stably Calabi-Yau". Advances in Mathematics . 211 (1): 123–151. arXiv: math/0512471 . doi: 10.1016/j.aim.2006.07.013 . ^[5]
• Keller, Bernhard (2010). "Cluster algebras, quiver representations and triangulated categories". Triangulated Categories. London Mathematical Society Lecture Note Series. Vol. 375. pp. 76–160. arXiv: 0807.1960 . doi:10.1017/CBO9781139107075.004. ISBN   978-0-521-74431-7.
• Keller, Bernhard (1996). "Derived categories and their uses". Handbook of Algebra. Vol. 1. pp. 671–701. doi:10.1016/S1570-7954(96)80023-4. ISBN   978-0-444-82212-3.
• "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 Antwerp 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 Archived 2018-08-25 at the Wayback Machine , retrieved 2016-04-27.
5. Keller, Science Watch

External links

• Bernhard Keller's homepage