Jean-Louis Koszul (; January 3, 1921 – January 12, 2018) was a French mathematician, best known for studying
geometry
Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is c ...
and discovering the
Koszul complex
In mathematics, the Koszul complex was first introduced to define a cohomology theory for Lie algebras, by Jean-Louis Koszul (see Lie algebra cohomology). It turned out to be a useful general construction in homological algebra. As a tool, its ho ...
. He was a second generation member of
Bourbaki.
Biography
Koszul was educated at the in Strasbourg before studying at the Faculty of Science
University of Strasbourg
The University of Strasbourg (french: Université de Strasbourg, Unistra) is a public research university located in Strasbourg, Alsace, France, with over 52,000 students and 3,300 researchers.
The French university traces its history to the ea ...
and the Faculty of Science of 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 ...
. His
Ph.D.
A Doctor of Philosophy (PhD, Ph.D., or DPhil; Latin: or ') is the most common degree at the highest academic level awarded following a course of study. PhDs are awarded for programs across the whole breadth of academic fields. Because it is ...
thesis, titled ''Homologie et cohomologie des algèbres de Lie'', was written in 1950 under the direction of
Henri Cartan
Henri Paul Cartan (; 8 July 1904 – 13 August 2008) was a French mathematician who made substantial contributions to algebraic topology.
He was the son of the mathematician Élie Cartan, nephew of mathematician Anna Cartan, oldest brother of co ...
.
He lectured at many universities and was appointed in 1963 professor in the Faculty of Science at the
University of Grenoble
The Université Grenoble Alpes (UGA, French: meaning "''Grenoble Alps University''") is a public research university in Grenoble, France. Founded in 1339, it is the third largest university in France with about 60,000 students and over 3,000 resea ...
. He was a member of the
French Academy of Sciences
The French Academy of Sciences (French: ''Académie des sciences'') is a learned society, founded in 1666 by Louis XIV of France, Louis XIV at the suggestion of Jean-Baptiste Colbert, to encourage and protect the spirit of French Scientific me ...
.
Koszul was the cousin of the French composer
Henri Dutilleux
Henri Paul Julien Dutilleux (; 22 January 1916 – 22 May 2013) was a French composer active mainly in the second half of the 20th century. His small body of published work, which garnered international acclaim, followed in the tradition of ...
, and the grandchild of the composer
Julien Koszul
Julien Koszul (4 December 1844 – 15 January 1927) was a French composer and pipe organist from Alsace.
Biography
Born in Morschwiller-le-Bas, Alsace, Koszul studied at the École Niedermeyer de Paris with Camille Saint-Saëns, together with Gab ...
.
Koszul married Denise Reyss-Brion on July 17, 1948. They had three children: Michel, Bertrand, and Anne.
He died on January 12, 2018 at the age of 97, nine days after his 97th birthday.
Décès de Jean-Louis Koszul
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See also
* Koszul algebra
In abstract algebra, a Koszul algebra R is a graded k-algebra over which the ground field k has a linear minimal graded free resolution, ''i.e.'', there exists an exact sequence:
:\cdots \rightarrow R(-i)^ \rightarrow \cdots \rightarrow R(-2)^ ...
* Koszul complex
In mathematics, the Koszul complex was first introduced to define a cohomology theory for Lie algebras, by Jean-Louis Koszul (see Lie algebra cohomology). It turned out to be a useful general construction in homological algebra. As a tool, its ho ...
* Koszul duality In mathematics, Koszul duality, named after the French mathematician Jean-Louis Koszul, is any of various kinds of dualities found in representation theory of Lie algebras, abstract algebras (semisimple algebra) and topology (e.g., equivariant cohom ...
* Koszul cohomology In mathematics, the Koszul cohomology groups K_(X,L) are groups associated to a projective variety ''X'' with a line bundle ''L''. They were introduced by , and named after Jean-Louis Koszul as they are closely related to the Koszul complex.
su ...
* Koszul connection
* Koszul-Tate resolution
* Lie algebra cohomology
In mathematics, Lie algebra cohomology is a cohomology theory for Lie algebras. It was first introduced in 1929 by Élie Cartan to study the topology of Lie groups and homogeneous spaces by relating cohomological methods of Georges de Rham to p ...
References
External links
*
*
1921 births
2018 deaths
20th-century French mathematicians
École Normale Supérieure alumni
French people of Polish descent
Members of the French Academy of Sciences
Nicolas Bourbaki
Scientists from Strasbourg
Grenoble Alpes University faculty
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