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Dr Rolf Gohm

Lecturer


Contact


Email: rog@aber.ac.uk
Office: 403, Physical Sciences Building, Penglais Campus
Phone: (0)1970 622 751
Fax: (0)1970 622 826
Personal Web Site:http://users.aber.ac.uk/rog

Teaching Areas

  • MA10110 - Coordinate and Vector Geometry
  • MA21510 - Complex Analysis
  • MA30110 - Group Theory
  • MA38410 - Introduction to Control Theory
  • MAM8420 - Advanced Control Theory

Research

  • Noncommutative Probability Theory
  • Operator Algebras
  • Operator Theory
  • Quantum Control

The quantum revolution in physics has also inspired new directions in mathematical research, by introducing new kinds of noncommutative structures. In particular, noncommutative probability merges probability theory with quantum physics. This provides starting points for excursions into the deep pure mathematics of operator algebras and operator theory and leads naturally to exciting new applications such as quantum control.

Biography


Born and brought up in the south-west of Germany, Dr. Rolf Gohm studied Mathematics in Stuttgart and obtained a PhD in Tuebingen (1993). Since that time he is interested in the analytical, algebraic and probabilistic structures motivated by quantum physics. As a Research and Teaching Assistant in Greifswald, at the Baltic Sea, he wrote a habilitation thesis which in 2004 was published as a book with the title “Noncommutative Stationary Processes”. In 2005 he moved to England as a Lecturer in Pure Mathematics at the University of Reading and in 2007 he started as a Lecturer in Mathematics at Aberystwyth University.

Staff Publications

  • Noncommutative Stationary Processes, Lecture Notes in Mathematics, Vol. 1839, 170 pages, Springer-Verlag (2004)
  • (with M.Skeide), Constructing extensions of CP-maps via tensor dilations with the help of von Neumann modules, Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol.8(2), World Scientific (2005), 291-305
  • A probabilistic index for completely positive maps and an application, Journal of Operator Theory 54(2) (2005), 339-361
  • (with B.Kuemmerer, T.Lang), Noncommutative Symbolic Coding, Ergodic Theory and Dynamical Systems 26 (2006), 1521-1548
  • Decompositions of Beurling Type for E_0-Semigroups, Banach Center Publications, Vol. 73, Institute of Mathematics, Polish Academy of Sciences, Warzawa (2006), 167-176
  • (with S.Dey), Characteristic functions for ergodic tuples, Integral Equations and Operator Theory 58 (2007), 43-63
  • (with C.Koestler), Noncommutative independence from the braid group, Comm.Math.Phys., vol.289(2) (2009), 435-482
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