Jean-Louis Loday (12 January 1946 – 6 June 2012) was a French mathematician who worked on
cyclic homology In noncommutative geometry and related branches of mathematics, cyclic homology and cyclic cohomology are certain (co)homology theories for associative algebras which generalize the de Rham (co)homology of manifolds. These notions were independent ...
and who introduced
Leibniz algebra In mathematics, a (right) Leibniz algebra, named after Gottfried Wilhelm Leibniz, sometimes called a Loday algebra, after Jean-Louis Loday, is a module ''L'' over a commutative ring ''R'' with a bilinear product _ , _ satisfying the Leibniz ident ...
s (sometimes called Loday algebras) and
Zinbiel algebra In mathematics, a Zinbiel algebra or dual Leibniz algebra is a module over a commutative ring with a bilinear product satisfying the defining identity:
:(a \circ b) \circ c = a \circ (b \circ c) + a \circ (c \circ b).
Zinbiel algebras were introd ...
s.
He occasionally used the pseudonym Guillaume William Zinbiel, formed by reversing the last name of
Gottfried Wilhelm Leibniz
Gottfried Wilhelm (von) Leibniz . ( – 14 November 1716) was a German polymath active as a mathematician, philosopher, scientist and diplomat. He is one of the most prominent figures in both the history of philosophy and the history of mathema ...
.
Education and career
Loday studied at
Lycée Louis-le-Grand
The Lycée Louis-le-Grand (), also referred to simply as Louis-le-Grand or by its acronym LLG, is a public Lycée (French secondary school, also known as sixth form college) located on rue Saint-Jacques in central Paris. It was founded in the ...
and at
École Normale Supérieure
École may refer to:
* an elementary school in the French educational stages normally followed by secondary education establishments (collège and lycée)
* École (river), a tributary of the Seine flowing in région Île-de-France
* École, Savoi ...
in
Paris
Paris () is the capital and most populous city of France, with an estimated population of 2,165,423 residents in 2019 in an area of more than 105 km² (41 sq mi), making it the 30th most densely populated city in the world in 2020. S ...
. He completed 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 ...
at the
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 ...
in 1975 under the supervision of
Max Karoubi
__NOTOC__
Max Karoubi () is a French mathematician, topologist, who works on K-theory, cyclic homology and noncommutative geometry and who founded the first European Congress of Mathematics.
In 1967, he received his Ph.D. in mathematics (Doct ...
, with a dissertation titled ''K-Théorie algébrique et représentations de groupes''. He went on to become a senior scientist at
CNRS
The French National Centre for Scientific Research (french: link=no, Centre national de la recherche scientifique, CNRS) is the French state research organisation and is the largest fundamental science agency in Europe.
In 2016, it employed 31,637 ...
and a member of the Institute for Advanced Mathematical Research (IRMA) at the University of Strasbourg.
Publications
*
*
*
*
See also
*
Associahedron
In mathematics, an associahedron is an -dimensional convex polytope in which each vertex corresponds to a way of correctly inserting opening and closing parentheses in a string of letters, and the edges correspond to single application of ...
*
Blakers–Massey theorem
In mathematics, the first Blakers–Massey theorem, named after Albert Blakers and William S. Massey, gave vanishing conditions for certain triad homotopy groups of spaces.
Description of the result
This connectivity result may be expressed more ...
*
Loday functor
References
ObituaryHome page*
External links
{{DEFAULTSORT:Loday, Jean-Louis
1946 births
2012 deaths
20th-century French mathematicians
21st-century French mathematicians
Lycée Louis-le-Grand alumni
École Normale Supérieure alumni
University of Strasbourg alumni
Academic staff of the University of Strasbourg
Topologists
Algebraists