### We are teaching at UMONS in:

### BA3 Physics and Mathematics:

**Analytical Mechanics (N. Boulanger - D. De Filippi and L. Traina)**

Lagrangian and Hamiltonian variational principles, Hamilton-Jacobi equation, Introduction to Arnold-Liouville theorem and integrability.**Mathematical methods of Physics (N. Boulanger and Yves Brihaye - L. Traina and D. De Filippi)**

Part I (N. Boulanger): Finite groups and their representations; Part II (Y. Brihaye): Introduction to Lie groups and algebras.### MA1 Physics and Mathematics:

**General Relativity (N. Boulanger and R. Bonezzi - D. De Filippi and L. Traina)**

Differential geometry, Einstein's equations, Schwarzschild solution, FLRW and relativistic cosmology, gravitational waves, Cartan formalism.### MA2 Physics and Mathematics:

**Advanced gravity and String Theory (A. Campoleoni and N. Boulanger)**

Kerr-Newman black hole and thermodynamics, Hawking radiation, introduction to bosonic String Theory.

**Higher-Spin Gauge Theory
(N. Boulanger and A. Campoleoni)**

Introduction to Supersymmetry, Supergravity and Higher-spin gravity.