Mathematical Physics

The Mathematical Physics group performs research into problems related to physics, including operator algebras, path integrals and quantization.

Group Members

Research Interests

Jonathan Kress works on classical and quantum superintegrable systems. These are natural Hamiltonian systems having the maximum number of independent symmetries and as a result possess many useful and interesting properties. The most celebrated examples are the harmonic oscillator and Kepler-Coulomb system, but recently many more examples have been found.

John Steele's interests are in the area of General Relativity, particularly in exact solutions of the Einstein Field Equations, their symmetries and interpretation. He is also interested in geometric aspects of mathematical physics and the history of mathematical physics.

Peter Donovan, now semi-retired, has publications in algebraic geometry (localisation at fixed points), algebraic topology (related to geometrical physics), representation theory (including the first non-trivial progress towards a key finiteness conjecture in the modular representation theory of finite groups), homological algebra and the insecurity of Japanese naval ciphers in WW2. Currently his interests are returning to modular representation theory and geometrical physics.