Mario Kieburg's Research Summary

My research is on Random Matrix Theory which has a vast of applications ranging beyond Physics and Mathematics such as Telecommunications systems and Time Series Analysis. The mathematical tools I am using are Harmonic Analysis and Group & Representation Theory, Orthogonal functions and polynomials, Supersymmetry & Graded Algebras. Those I apply to physical problems in Quantum Chaos, Quantum field theory, Quantum Information Theory.