Rolf Gohm

Senior Lecturer

Contact Details

Room Number..........:  4.11
Building....................:  Physical Sciences
Phone.......................:   +44 (0)1970 622751
E-Mail........................:   rog
Home Page...............:   Personal

External Publication Websites:
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ResearchGate

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.

Research Groups

Research Interests

  • My Interests are:
    • 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.

Teaching Areas

Modules Taught

Publications

2017

Gohm, R., Haag, F., Kuemmerer, B. 2017. Universal Preparability of States and Asymptotic Completeness. Communications in Mathematical Physics 352 (1) pp. 59-94. Other Other Cadair

2016

Evans, G., Gohm, R., Köstler, C.M. 2016. Semi-cosimplicial objects and spreadability. Rocky Mountain Journal of Mathematics Cadair

2015

Gohm, R. 2015. Weak Markov Processes as Linear Systems. Mathematics of Control, Signals, and Systems (MCSS) 27 (3) pp. 375-413. Cadair

Bouten, L., Gohm, R., Gough, J., Nurdin, H. 2015. A Trotter-Kato Theorem for Quantum Markov Limits. EPJ Quantum Technology 2 (1) 9 Cadair

2014

Dey, S., Gohm, R., Haria, K. 2014. Functional Models and Minimal Contractive Liftings. Complex Analysis and Operator Theory 9 (4) pp. 933-955. Cadair

2012

Gohm, R. 2012. Transfer Functions for Pairs of Wandering Subspaces. In W. Arendt., J. Ball., J. Behrndt., K. Foerster., V. Mehrmann., C. Trunk. (eds) Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations: 21st International Workshop on Operator Theory and Applications, Berlin, July 2010. Operator Theory: Advances and Applications, vol. 221 Springer Nature, Basel pp. 385-398.

Gohm, R., Köstler, C.M. 2012. Noncommutative independence in the infinite braid and symmetric group. Banach Center Publications 96 pp. 193-206.

2011

Dey, S., Gohm, R. 2011. Characteristic Functions of Liftings. Journal of Operator Theory 65 (1) pp. 17-45.

2010

Gohm, R. 2010. Non-commutative Markov chains and multi-analytic operators. Journal of Mathematical Analysis and Applications 364 (1) pp. 275-288.

2009

Gohm, R., Köstler, C. 2009. Noncommutative Independence from the Braid Group B? Communications in Mathematical Physics 289 (2) pp. 435-482. Cadair

Gohm, R., Köstler, C.M. 2009. Noncommutative Independence from the Braid Group B∞. Communications in Mathematical Physics 289 (2) pp. 435-482.

2008

Gough, J.E., Gohm, R., Yanagisawa, M. 2008. Linear quantum feedback networks. Physical Review A 78 (6) 62104

2007

Dey, S., Gohm, R. 2007. Characteristic Functions for Ergodic Tuples. Integral Equations and Operator Theory 58 (1) pp. 43-63.

2006

Gohm, R., Kuemmerer, B., Lang, T. 2006. Non-commutative symbolic coding. Ergodic Theory and Dynamical Systems 26 (5) pp. 1521-1548.

2005

Gohm, R., Skeide, M. 2005. Constructing extensions of CP-maps via tensor dilations with rhe help of von Neumann modules. Infinite Dimensional Analysis, Quantum Probability and Related Topics 8 (2) pp. 291-305.

2003

Gohm, R. 2003. A probabilistic index for completely positive maps and an application. Journal of Operator Theory 54 (2) pp. 339-361.