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 | |
| Born | 1962 |
| Nationality | Swiss |
| 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 |
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
edit- 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
edit- ^ Bernhard Keller at the Mathematics Genealogy Project
- ^ List of honorary degrees of the University of Antwerp in 2013, retrieved 2020-09-01.
- ^ 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.
- ^ List of Fellows of the American Mathematical Society, retrieved 2016-04-27.
- ^ Keller, Science Watch