Jean-Louis Koszul
Encyclopedia
Jean-Louis Koszul is a mathematician
best known for studying geometry
and discovering the Koszul complex
.
He was educated at the Lycée Fustel-de-Coulanges in Strasbourg before studying at the Faculty of Science in Strasbourg and the Faculty of Science in Paris. He has lectured at many universities and was appointed professor in the Faculty of Science at Grenoble in 1963. He is a member of the French Academy of Sciences
.
Koszul is the cousin of the French composer Henri Dutilleux
. Their grandfather, the composer Julien Koszul, was a close friend of Gabriel Fauré
.
Koszul married Denise Reyss-Brion on July 17, 1948. They had three children: Michel, Bertrand, and Anne.
Koszul supervised the thesis of Edith Kosmanek, defended in 1964 at the University of Strasbourg
: "" ("The extremities of topological spaces and discrete groups").
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
best known for studying geometry
Geometry
Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers ....
and discovering the Koszul complex
Koszul complex
In mathematics, the Koszul complex was first introduced to define a cohomology theory for Lie algebras, by Jean-Louis Koszul...
.
He was educated at the Lycée Fustel-de-Coulanges in Strasbourg before studying at the Faculty of Science in Strasbourg and the Faculty of Science in Paris. He has lectured at many universities and was appointed professor in the Faculty of Science at Grenoble in 1963. He is a member of the French Academy of Sciences
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 research...
.
Koszul is the cousin of the French composer Henri Dutilleux
Henri Dutilleux
Henri Dutilleux is one of the most important French composers of the second half of the 20th century, producing work in the tradition of Maurice Ravel, Claude Debussy, and Albert Roussel, but in a style distinctly his own...
. Their grandfather, the composer Julien Koszul, was a close friend of Gabriel Fauré
Gabriel Fauré
Gabriel Urbain Fauré was a French composer, organist, pianist and teacher. He was one of the foremost French composers of his generation, and his musical style influenced many 20th century composers...
.
Koszul married Denise Reyss-Brion on July 17, 1948. They had three children: Michel, Bertrand, and Anne.
Koszul supervised the thesis of Edith Kosmanek, defended in 1964 at the University of Strasbourg
University of Strasbourg
The University of Strasbourg in Strasbourg, Alsace, France, is the largest university in France, with about 43,000 students and over 4,000 researchers....
: "" ("The extremities of topological spaces and discrete groups").
See also
- Koszul algebraKoszul algebraIn abstract algebra, a Koszul algebra R is a graded k-algebra over which the residue field k has a linear minimal graded free resolution, i.e., there exists an exact sequence:...
- Koszul connection
- Koszul-Tate resolutionKoszul-Tate resolutionIn mathematics, a Koszul-Tate resolution or Koszul-Tate complex is a projective resolution of R/M that is an R-algebra . They were introduced by John Tate and have been used to calculate BRST cohomology...
- Lie algebra cohomologyLie algebra cohomologyIn mathematics, Lie algebra cohomology is a cohomology theory for Lie algebras. It was defined by in order to give an algebraic construction of the cohomology of the underlying topological spaces of compact Lie groups...