## 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:**

Google Scholar

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**

**MA10510:**Algebra**MA20310:**Introduction to Abstract Algebra**MA21510:**Complex Analysis**MA30110:**Group Theory**MA32410:**Graphs and Networks**MA32610:**Topology**MA38410:**Introduction to Control Theory**MAM2620:**Algebraic Topology**MAM8020:**Spectral Theory**MAM8420:**Advanced Control Theory**MP12910:**Career Planning and Skills Development

### Publications

#### 2017

Universal Preparability of States and Asymptotic Completeness. *Communications in Mathematical Physics* **352** (1) pp. 59-94. Other Other Cadair

#### 2016

Semi-cosimplicial objects and spreadability. *Rocky Mountain Journal of Mathematics* Cadair

#### 2015

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

A Trotter-Kato Theorem for Quantum Markov Limits. *EPJ Quantum Technology* **2** (1) 9 Cadair

#### 2014

Functional Models and Minimal Contractive Liftings. *Complex Analysis and Operator Theory* **9** (4) pp. 933-955. Cadair

#### 2012

Transfer Functions for Pairs of Wandering Subspaces. In (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.

Noncommutative independence in the infinite braid and symmetric group. *Banach Center Publications* **96** pp. 193-206.

#### 2011

Characteristic Functions of Liftings. *Journal of Operator Theory* **65** (1) pp. 17-45.

#### 2010

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

#### 2009

Noncommutative Independence from the Braid Group B? *Communications in Mathematical Physics* **289** (2) pp. 435-482. Cadair

Noncommutative Independence from the Braid Group B∞. *Communications in Mathematical Physics* **289** (2) pp. 435-482.

#### 2008

Linear quantum feedback networks. *Physical Review A* **78** (6) 62104

#### 2007

Characteristic Functions for Ergodic Tuples. *Integral Equations and Operator Theory* **58** (1) pp. 43-63.

#### 2006

Non-commutative symbolic coding. *Ergodic Theory and Dynamical Systems* **26** (5) pp. 1521-1548.

#### 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

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