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

University of Paris , image_name = Coat of arms of the University of Paris.svg , image_size = 150px , caption = Coat of Arms , latin_name = Universitas magistrorum et scholarium Parisiensis , motto = ''Hic et ubique terrarum'' (Latin) , mottoeng = Here and a ...

. Keller received in 1990 his PhD from the

University of Zurich The University of Zürich (UZH, german: Universität Zürich) is a public research university located in the city of Zürich, Switzerland. It is the largest university in Switzerland, with its 28,000 enrolled students. It was founded in 1833 f ...

under

Pierre Gabriel Pierre Gabriel (1 August 1933 – 24 November 2015), also known as Peter Gabriel, was a French mathematician at the University of Strasbourg (1962–1970), University of Bonn (1970–1974) and University of Zürich (1974–1998) who worked on cat ...

with the thesis ''On Derived Categories''. His research is in

homological algebra Homological algebra is the branch of mathematics that studies homology (mathematics), homology in a general algebraic setting. It is a relatively young discipline, whose origins can be traced to investigations in combinatorial topology (a precurs ...

and the representation theory of

quiver A quiver is a container for holding arrows, bolts, ammo, projectiles, darts, or javelins. It can be carried on an archer's body, the bow, or the ground, depending on the type of shooting and the archer's personal preference. Quivers were trad ...

s and finite-dimensional algebras. He has applied triangulated Calabi–Yau categories to the (additive) categorification of

cluster algebra Cluster algebras are a class of commutative rings introduced by . A cluster algebra of rank ''n'' is an integral domain ''A'', together with some subsets of size ''n'' called clusters whose union generates the algebra ''A'' and which satisfy variou ...

s. In 2013, he received an honorary degree from the

University of Antwerp The University of Antwerp ( nl, Universiteit Antwerpen) is a major Belgian university located in the city of Antwerp. The official abbreviation is ''UA'', but ''UAntwerpen'' is more recently used. The University of Antwerp has about 20,000 stud ...

. In 2014 he received the

Sophie Germain Prize The Sophie Germain Prize (in French: ''Prix Sophie Germain'') is an annual mathematics prize from the French Academy of Sciences conferred since the year 2003. It is named after the French mathematician Sophie Germain, and comes with a prize of � ...

. He was an Invited Speaker at the

International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be rename ...

in Madrid in 2006, with a talk ''On differential graded categories.'' Keller is a

fellow A fellow is a concept whose exact meaning depends on context. In learned or professional societies, it refers to a privileged member who is specially elected in recognition of their work and achievements. Within the context of higher education ...

of the

American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...

Selected works

* with

Idun Reiten Idun Reiten (born 1 January 1942) is a Norwegian professor of mathematics. She is considered to be one of Norway's greatest mathematicians today. Career She took her PhD degree at the University of Illinois in 1971. She was appointed as a profes ...

: Keller, Science Watch
/ref> * * *

References

External links

Bernhard Keller's homepage
{{DEFAULTSORT:Keller, Bernhard 1964 births Algebraists 20th-century Swiss mathematicians 21st-century Swiss mathematicians University of Zurich alumni Academic staff of the University of Paris Living people Fellows of the American Mathematical Society