French mathematician
Andrée Ehresmann (born Andrée Bastiani; 1935)[1] is a French mathematician specialising in category theory.[2]
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]
Notes and references
External links
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