Dr Claus Koestler

Research Associate
Dipl-Phys (Tuebingen) Dr rer nat (Stuttgart) Photograph of Dr Claus Koestler.

Contact

Email: cck@aber.ac.uk
Office: 407, Physical Sciences building, Penglais Campus
Phone: (0)1970 622 758
Fax: (0)1970 622 826
Personal Web Site:http://users.aber.ac.uk/cck

Research

  • Noncommutative Probability
  • Operator Algebras
  • Quantum Control and Quantum Information
  • Quantum Dynamics and Subfactors
  • Symmetries and Invariance Principles

Noncommutative probability is a modern research area in mathematics which grew out of the needs to model randomly occuring quantum events. It uses the language of operator algebras and plays an increasing role in applications like quantum control or quantum information, both among the key technologies of the 21st century. On the other hand it is intimately connected with several fascinating areas in pure mathematics, for example free probability, quantum dynamics, subfactor theory, representations of large groups, or distributional symmetries and invariance principles.

Biography

Born in the vicinity of Stuttgart (Germany), Claus Koestler studied Mathematics and Physics at the Eberhard-Karls University of Tuebingen and the State University of New York at Stony Brook (USA). He completed his doctorate in Mathematics at the University of Stuttgart (2000) on the subject of an operator algebraic approach to quantum Brownian motions and quantum Markov processes. Claus continued his research on noncommutative probability at Queen's University in Kingston (Ontario, Canada), firstly as a postdoctoral fellow and then as an assistant adjunct professor. In 2005 he was appointed to an assistant professorship at Carleton University in Ottawa (Ontario, Canada) and, starting 2007, he enjoyed positions as a visiting assistant professor at the University of Illinois at Urbana-Champaign (USA) and St. Lawrence University in Canton (New York, USA). Claus joined the Institute of Mathematics and Physics at Aberystwyth University in September 2009.

Staff Publications

•On Lehner's `free' noncommutative analogue of the de Finetti theorem. Proc. Amer. Math. Soc., to appear
•A noncommutative extended de Finetti theorem, J. Funct. Anal., in press (2009), doi:10.1016/j.jfa.2009.10.021
•(with R. Speicher) A noncommutative de Finetti theorem: Invariance under quantum permutations is equivalent to freeness with amalgamation, Comm. Math. Phys., vol. 291(2) (2009), 473-490
•(with R. Gohm) Noncommutative independence from the braid group B∞, Comm. Math. Phys., vol. 289(2) (2009), 435-482
•(with R. Speicher) On the structure of non-commutative white noises, Trans. Amer. Math. Soc., vol. 359 (2007), 4325-4338
•Survey on a quantum stochastic extension of Stone's theorem, in: Advances in Quantum Dynamics (South Hadley, MA, 2002), Contemp. Math., vol. 335 (2003), 209-222
•(with J. Hellmich et al.) Couplings to classical and non-classical squeezed white noise as stationary Markov processes, Publ. Res. Inst. Math. Sci., vol. 38 (1) (2002), 1-31

http://users.aber.ac.uk/cck