The research lines in our group pertain to the study of mathematical structures emerging from fundamental theoretical physics and interdisciplinary applications. In particular, the group members have interests in:
General relativity and relativistic theories of gravity, including relativistic positioning;
Calculus of variations on fiber bundles and related conservation laws;
Geometric structures on (pseudo-)Riemannian manifolds deriving from string theory and holography (AdS/CFT);
Mathematical methods for the exact non-perturbative study of quantum field theories (e.g. localization and integrability);
Fluid dynamics and optical non-linear models, their integrability and singularities, dispersive and Hamiltonian PDEs;
Geometric-algebraic and qualitative aspects of differential equations of physical, biological and evolutionary interest.
You can learn about these topics (and others) by attending our seminars and special events that we organize regularly.
The Department has several openings for various positions every year. Some of the opportunities to join our group are summarized here.
Program: TBA