Mathematical Physics
Scientific Sectors
- SSD: Mat/07- MATHEMATICAL PHYSICS
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ERC: PE1_12 Mathematical physics, PE2_1 Fundamental interactions and fields, PE1_10 ODE and dynamical systems, PE1_20 Application of mathematics in sciences
Research Topics
- Symmetries and separation of variables for equations of mathematical physics..
- Relativistic theories. Conservation laws and entropy of singular solutions. Applications to extended theories of gravitation and cosmology.
- Geometric methods in quantum gravity.
- Variational sequences, cohomology and inverse problems in the calculus of variations.
- Contact structures, Cartan connections, integrability and applications in the geometric theory of perception.
- Mathematical methods for the non perturbative study of supersymmetric field theories.
- Geometric structures on Riemannian or pseudo-Riemannian manifolds arising from string theory and the (AdS/CFT) holographic correspondence.
- Exact results in AdS/CFT correspondence.
- Conformation changes and stability in complex biological structures.