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Electronic Structure Theory
Electronic Structure Theory describes the motions of electrons in atoms or molecules.
The main focus of my research is on the mathematical analysis of coupled cluster based schemes for strongly correlated time-independent systems.
Additionally I am interested in the characterization and analysis of the time dependent Schrödinger equation via symplectic geometry, and an
a posteriori error analysis of the discrete time-independent coupled-cluster method.
Tensor Product Approximation
Tensor products arise in all fields of science and engineering, mostly suffering from the curse of dimensionality. Tensor product approximations attempt to break this curse.
I am currently interessted in analysing the use of tensor product approximations and optimization algorithms like the ALS to obtain an external correction for a multireference coupled cluster approach.
Quantum optics is a field of research that uses semi-classical and quantum-mechanical physics to investigate phenomena involving light and its interactions with matter at submicroscopic levels.
I am currently interessted in analysing time delayed feedback from active quantum media.