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AGIF is a UMons center whose research activities are spread over different areas related to mathematics and fundamental interaction physics. This center is linked to the Research Institute for Complex Systems (Complexys) and includes the Fundamental Interaction Transdisciplinary Group (FITG).

In mathematics, the subjects of interest are, for instance:

- Geometric Galois representations
- Geometric and topological model theory
- Geometry of Banach spaces
- Functional analysis and interactions with harmonic analysis and complex analysis

Concerning physics, the main studied topics are, for instance:

- Theoretical aspects of elementary particle physics
- Solitons and non linear differential equations
- Effective theory of strong interactions
- Resolution of quantum equations
- LHC physics (CERN)
- Astroparticle physics (IceCube)
- Quantum aspects of gravitation
- Higher spin field theory
- String theory
- Modelling of complex atomic structures
- Atomic data for Astrophysics
- Plasma physics
- Cosmology