Didactics of Mathematics
Mathematical Physics (Burkhard Kümmerer)

Research

Our research area is quantum probability theory. My main focus lies on the classification of completely positive operators, but my academical interests include from a mathematical perspective the theory of

• C*-, von Neumann- and Operator Algebras,
• Completely Positive Operators,
• Noncommutative Probability Theory

and from a physical perspective

• Quantum Operations,
• Entanglement,
• Quantum Cryptography,
• Quantum Computing.

I also have side interest in philosophy of quantum mechanics, Bayesian probability theory and category theory and its applications to functional programing.