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Jens Carsten Jantzen (born 1948) is a German mathematician and professor emeritus at
Aarhus University Aarhus University (, abbreviated AU) is a public research university. Its main campus is located in Aarhus, Denmark. It is the second largest and second oldest university in Denmark. The university is part of the Coimbra Group, the Guild, and Ut ...
working on
representation theory Representation theory is a branch of mathematics that studies abstract algebra, abstract algebraic structures by ''representing'' their element (set theory), elements as linear transformations of vector spaces, and studies Module (mathematics), ...
and
algebraic group In mathematics, an algebraic group is an algebraic variety endowed with a group structure that is compatible with its structure as an algebraic variety. Thus the study of algebraic groups belongs both to algebraic geometry and group theory. Man ...
s. He introduced the Jantzen filtration and translation functors.


Early life and education

Jantzen was born in 1948 in Störtewerkerkoog,
Nordfriesland Nordfriesland (; ; Low German: Noordfreesland), also known as North Frisia, is the northernmost Districts of Germany, district of Germany, part of the state of Schleswig-Holstein. It includes almost all of traditional North Frisia (with the e ...
. He received his PhD from the
University of Bonn The University of Bonn, officially the Rhenish Friedrich Wilhelm University of Bonn (), is a public research university in Bonn, North Rhine-Westphalia, Germany. It was founded in its present form as the () on 18 October 1818 by Frederick Willi ...
in 1973 under the supervision of
Jacques Tits Jacques Tits () (12 August 1930 – 5 December 2021) was a Belgian-born French mathematician who worked on group theory and incidence geometry. He introduced Tits buildings, the Tits alternative, the Tits group, and the Tits metric. Early life ...
.


Career

In the late 1970s, Jantzen and Gregg Zuckerman independently introduced translation functors. In 1979, he introduced the Jantzen filtration. His doctoral students include
Wolfgang Soergel Wolfgang Soergel (born 12 June 1962 in Geneva) is a German mathematician, specializing in geometry and representation theory. Early life and education Wolfgang Soergel is the son of the physicist and a grandson of the paleontologist (1887–194 ...
.


Awards and honors

In 2012 he became a fellow 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 publications

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References


External links


Home page of Jens Carsten JantzenPictures from Oberwolfach
{{DEFAULTSORT:Jantzen, Jens Carsten 1948 births Living people 20th-century German mathematicians 21st-century German mathematicians University of Bonn alumni Academic staff of the University of Bonn People from Nordfriesland Fellows of the American Mathematical Society