Andrée Ehresmann

Andrée Ehresmann (born Andrée Bastiani; 1935)^[1] is a French mathematician specialising in category theory.^[2]

Andrée Ehresmann
Andrée Ehresmann in December 2010
Born	Andrée Bastiani (1935-09-07) September 7, 1935 (age 89)
Nationality	French
Alma mater	University of Paris
Spouse	Charles Ehresmann
Scientific career
Fields	Mathematics
Institutions	University of Picardy Jules Verne
Thesis	Différentiabilité dans les espaces localement convexes. Distructures (1962)
Doctoral advisor	Gustave Choquet
Website	https://mes-ehres.fr/indexAE.htm

Education and career

Ehresmann was a researcher at CNRS from 1957 to 1963. She was awarded a Ph.D. in 1962 at University of Paris under the supervision of Gustave Choquet. Her thesis was entitled Différentiabilité dans les espaces localement convexes. Distructures [Differentiability in locally convex spaces. Distructures].^[3]

In 1967 she became a professor at IRCAM, at the University of Picardie Jules Verne, where she is currently emeritus professor.^[4]

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: 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.^[5]