Contact : Prof R Duvenhage
 

Research Interests

• Mathematical structure of quantum dynamical systems in the framework of operator algebras.
• Quantum (that is to say, noncommutative) ergodic theory and its connections with quantum statistical mechanics.
• Quantization in the framework of operator algebras.
• High energy physics and string theory.

Current PhD Students

Dylan van Zyl Kyle Oerder Mathumo Mapaya Keagan van den Heuvel

Recent PhD Students

Samuel Skosana

Research Projects
 

• Noncommutative ergodic theory and quantum statistical mechanics

Ergodic theory concerns the long term behaviour of dynamical systems, and is closely related to statistical mechanics. In our research we systematically and rigorously study ergodic problems in the quantum case.

• Quantum groups and their actions. Field theory and string theory on quantum spaces.

These topics share many ideas and techniques with topic 1 above. Our focus is on the mathematical aspects of these topics, especially those aspects closely related to topic above.

International collaboration

Vito Crismale, Paola Zurlo, Dipartimento di Matematica, Università degli Studi di Bari Aldo Moro

Publications

Publications on Orcid