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Towards the end of my undergraduate studies in physics at the RWTH Aachen in Germany, I spent a year at the Universiteit Utrecht (The Netherlands) writing a diploma thesis under the supervision of by NG van Kampen. In 1986 I moved to Switzerland to study for a PhD with H Thomas at the Universität Basel.
After a year as a post-doc with RG Littlejohn at the Lawrence Berkeley Laboratory in California I returned to Basel. I completed my Habilitation in 1996 to become Privatdozent and, soon after, a visiting professor in H Beck's group at the Université de Neuchâtel in Switzerland.
Since 2005 I am a Reader in Mathematical Physics at the Department of Mathematics of the University of York, after spending a few years at the University of Hull, also in the UK.
Ever since my days as an undergraduate, I have been fascinated by quantum theory. Not surprisingly, most of my research is in the area of (non-relativistic) quantum mechanics, especially in quantum information and the foundations of quantum theory. In recent years, I have worked on uncertainty relations, mutually unbiased bases, PT-symmetry and quantum state reconstruction.
I am also interested in the history of science and in epistemology. Some papers of mine study the interplay between scientific knowledge and the language we use to express it.
Current and Past PhD students
Vicky Wright and I are currently investigating Hilbert space formulations of models which exhibit post-quantum correlations. Steve Brierley and Dan McNulty
studied the properties of mutually unbiased bases, mostly in dimension six. Spiros Kechrimparis and I developed a method to derive preparational uncertainty relations for quantum systems with one or more continuous variables.
PhD students wishing to work on fundamental questions in quantum theory are welcome to get in touch. Project areas include uncertainty relations, mutually unbiased bases and generalized models exhibiting correlations stronger than those found in quantum systems. Related topics in the area of quantum information and foundations can be agreed on.
Mathematics for Sciences 1