Andrée Ehresmann (born Andrée Bastiani; 1935) is a
French
French (french: français(e), link=no) may refer to:
* Something of, from, or related to France
** French language, which originated in France, and its various dialects and accents
** French people, a nation and ethnic group identified with Franc ...
mathematician specialising in
category theory
Category theory is a general theory of mathematical structures and their relations that was introduced by Samuel Eilenberg and Saunders Mac Lane in the middle of the 20th century in their foundational work on algebraic topology. Nowadays, cate ...
.
Education and career
Ehresmann was a researcher 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 ...
from 1957 to 1963. She was awarded a
Ph.D. in 1962 at
University of Paris under the supervision of
Gustave Choquet
Gustave Choquet (; 1 March 1915 – 14 November 2006) was a French mathematician.
Choquet was born in Solesmes, Nord. His contributions include work in functional analysis, potential theory, topology and measure theory. He is known for creati ...
. Her thesis was entitled ''Différentiabilité dans les espaces localement convexes. Distructures''
ifferentiability in locally convex spaces. Distructures
In 1967 she became a professor at
IRCAM, at the
University of Picardie Jules Verne, where she is currently
emeritus professor.
Research
Ehresmann has published over a hundred works on Analysis (Differential Calculus and Infinite-dimensional Distributions, Guiding Systems and Optimization Problems), Category Theory (with her husband,
Charles Ehresmann
Charles Ehresmann (19 April 1905 – 22 September 1979) was a German-born French mathematician who worked in differential topology and category theory.
He was an early member of the Bourbaki group, and is known for his work on the differential ...
: sketches and internal categories, multiple categories, closed monoidal structures) and the modeling of complex autonomous systems (Memory Scalable Systems, including the MENS model for neuro-cognitive systems).
She developed, with J.-P. Vanbremeersch a model of Memory Evolutive Systems, which proposes a mathematical model for 'living' systems with a hierarchy of complex components with multiple temporalities, such as biological, neuro-cognitive, or social systems. Based on a theory of 'dynamic' categories, evolving memory systems can analyze complexity, emergence and self-organization.
She is the director of the mathematical journal
Cahiers de Topologie et Géométrie Différentielle Catégoriques.
Notes and references
External links
*
Intervention d'Andrée Ehresmann à la conférence « Mathématiques innovantes 2010 »
1935 births
Living people
20th-century French mathematicians
Category theorists
French women mathematicians
20th-century women mathematicians
20th-century French women
Academic staff of the University of Picardy Jules Verne
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