1) Electronic structure with density functional theory
2) Wannier functions and construction of lattice models
3) Introduction to many-body methods, Fock space, exact diagonalization
4) Kondo effect and impurity physics
5) Disorder and coherent potential approximation
Quantum mechanics (Schrodinger equation, Pauli principle) and linear aglebra (Hermitean and unitary operators, eigenvalues and eigenvectors)
Basics of solid state theory (Bloch theorem, reciprocal space, Fermi energy and Fermi surface)