OURAGAN focus on the transfer of computational algebraic methods to some related fields (computational geometry, topology, number theory, etc.) and some carefully chosen application domains (robotics, control theory, evaluation of the security of cryptographic systems, etc.).
We are working equally on the use (modeling, know – how) and on the development of new algorithms.
An original aspect of the OURAGAN is to blend into an environment of fundamental mathematics, at the Institut de Mathématiques de Jussieu — Paris Rive Gauche (IMJ-PRG CNRS 7586), and to be cross-functional to several teams (Algebraic Analysis, Complex Analysis and Geometry, Number Theory, Algebraic Topology and Geometry to name only the main ones).
OURAGAN is organized around five Research axes; two are transversal (Axis 1 and 5), three are thematic (Axis 2, 3 and 4):
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(Axis 1):Computable objects;
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(Axis 2):Algebraic analysis, Algebraic topology and Group theory;
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(Axis 3):Algorithmic Number Theory;
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(Axis 4):Geometry and Topology in low dimension;
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(Axis 5):Applications.
