School of Mathematical Sciences

Mathematical Physics

Member of staff writing on a whiteboard.

The Mathematical Physics Research Group is formed of three subgroups.

Quantum Chaos and Disorder

The Quantum Chaos and Disorder subgroup gathers leading experts to understand realistic quantum systems. 

  • Anderson localization 
  • Multifractality  
  • Quantum chaos 
  • Quantum tunnelling 
  • Quantum mechanics in phase space
  • Random Matrix Theory 
  • Short-wavelength approximations
  • Topological insulators and superconductors

Quantum Gravity

The Quantum Gravity subgroup is one of the leading groups in the field of (non-string) quantum gravity.  

  • Analogue models of quantum gravity 
  • Modified gravity 
  • Strong gravity
  • Non-commutative geometry 
  • Quantum black holes and cosmology
  • Quantum Field Theory in curved spacetime 
  • Quantum gauge theories 
  • Higher categorical structures in physics 

The subgroup runs the Quantum Gravity Laboratory carrying out experiments demonstrating analogue quantum gravity effects in matter systems. The subgroup's research has been supported by grants from the Royal Society, EPSRC, STFC and the ERC. Steffen Gielen, Alexander Schenkel and Silke Weinfurtner all hold current Royal Society University Research Fellowships. 

The subgroup also runs the MSc programme in Gravity, Particles and Fields jointly with the Particle Theory group in the School of Physics and Astronomy.

Quantum Information

The Quantum Information subgroup is part of a young and eclectic field that considers information and computation, probability and statistics, and control theory.  

  • Continuous variable quantum information 
  • Entanglement and quantum correlations 
  • Quantum thermodynamics 
  • Open quantum systems and decoherence 
  • Quantum optics
  • Quantum metrology and engineering  
  • Quantum probability, statistics and control 
  • Relativistic quantum information and metrology

The subgroup hosts the Physics branch of the Penrose Institute to investigate high-precision quantum sensors of gravitational effects.

The subgroup also forms part of the Centre for the Mathematics and Theoretical Physics of Quantum Non-Equilibrium Systems (CQNE).


Group Members


Thinking of joining us? 

We are keen to create an environment which supports all staff members by providing:



Professor John Barrett

School of Mathematical Sciences

University Park

University of Nottingham


telephone: +44 (0) 115 95 14956
fax: +44 (0) 115 95 14951


School of Mathematical Sciences

The University of Nottingham
University Park
Nottingham, NG7 2RD

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