Mathematics

Knowledge and understanding: Successful students will be able to deal with topics concerning Functional Analysis and foundations of the theory of Operator Algebras, will become proficient and acquainted with subjects such as Spectral Theory, closed, hermitian and selfadjoint operators, C* Algebras and von Neumann Algebras. Skills and attributes: Successful students will be able to study the structure of linear operators like simple perturbations of the Laplacian and to use the theory of Operator Algebras in many fundamental questions, from Harmonic analysis to Quantum Mechanics.