OURAGAN works on four general directions with five particular targets:
- Algebraic analysis of linear functional systems
- Number Theory
- Algorithmic Number Theory
- Topology in small dimension
- Character varieties
- Knot theory
- Computational geometry
- Algebraic topology
These actions come, of course, in addition to the study and development of a common set of core elements of
- Basic theory and algorithms in algebra and geometry
The tools and objects developed for research on algorithmic number theory as well as on topology in small dimension apply quite directly on some selected connected challenging subjects:
- Security of cryptographic systems
- Control theory
- Signal processing
- Robotics
