Jean-Louis Koszul
   HOME

TheInfoList



OR:

Jean-Louis Koszul (; 3 January 1921 – 12 January 2018) was a French mathematician, best known for studying
geometry Geometry (; ) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician w ...
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 Bourbaki(s) may refer to : Persons and science * Charles-Denis Bourbaki (1816–1897), French general, son of Constantin Denis Bourbaki * Colonel Constantin Denis Bourbaki (1787–1827), officer in the Greek War of Independence and serving in the ...
.


Biography

Koszul was educated at the in Strasbourg before studying at the Faculty of Science
University of Strasbourg The University of Strasbourg (, Unistra) is a public research university located in Strasbourg, France, with over 52,000 students and 3,300 researchers. Founded in the 16th century by Johannes Sturm, it was a center of intellectual life during ...
and the Faculty of Science of the
University of Paris The University of Paris (), known Metonymy, metonymically as the Sorbonne (), was the leading university in Paris, France, from 1150 to 1970, except for 1793–1806 during the French Revolution. Emerging around 1150 as a corporation associated wit ...
. His Ph.D. 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 c ...
. He lectured at many universities and was appointed in 1963 professor in the Faculty of Science at the
University of Grenoble The (, ''Grenoble Alps University'', abbr. UGA) is a Grands établissements, ''grand établissement'' in Grenoble, France. Founded in 1339, it is the third largest university in France with about 60,000 students and over 3,000 researchers. Es ...
. He was a member of the
French Academy of Sciences The French Academy of Sciences (, ) is a learned society, founded in 1666 by Louis XIV at the suggestion of Jean-Baptiste Colbert, to encourage and protect the spirit of French Scientific method, scientific research. It was at the forefron ...
. Koszul was the cousin of the French composer
Henri Dutilleux Henri Paul Julien Dutilleux (; 22 January 1916 – 22 May 2013) was a French composer of late 20th-century classical music. Among the leading French composers of his time, his work was rooted in the Impressionistic style of Debussy and R ...
, and the grandchild of the composer Julien Koszul. Koszul married Denise Reyss-Brion on 17 July 1948. They had three children: Michel, Bertrand, and Anne. He died on 12 January 2018, at the age of 97, nine days after his 97th birthday.Décès de Jean-Louis Koszul
/ref>


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(- ...
*
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 * 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 prope ...


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 Academic staff of Grenoble Alpes University {{France-mathematician-stub