Mathematical Physics
The Centre
for Mathematical Physics is an interdisciplinary research centre
designed to foster interaction between Mathematics and Physics at The
University of Queensland, and with outside institutions. Many breakthroughs
in the development of physical theories, particularly in the realm of
quantum physics, have been
underpinned by the application of novel mathematical
techniques. The research conducted by members of the Centre covers a
broad spectrum from areas of pure mathematics such as Lie algebras,
quantum algebras, supersymmetry, low dimensional topology and category
theory through to applications in areas of Bose-Einstein condensates,
superconductivity, condensed matter systems, quantum nanoscience and
quantum information science. The Centre is also active in promoting
Mathematical Physics through regular workshops and seminar series.
For more information follow the links to people's personal web pages.
Quantum randon walks, phase space description of quantum mechanics relativistic localisation, coherent states, Wigner distribution functions.
Karen Dancer
Quantum algebras and representation theory, quantum double construction,
Yang-Baxter equation.
Quantum algebras and representation theory, knot theory, quantum chemistry, integrable quantum systems.
Integrable systems, analogue models, Bose-Einstein condensates,
cosmology and gravitation.
Quantum dynamics, quantum chaos, Bose-Einstein condensates.
Phil Isaac
Quantum algebras, superalgebras, category theory.
Algebraic structures in mathematical physics,
integrable and Bethe ansatz solvable systems, Bose-Einstein condensates,
BCS model of superconductivity.
Integrable models, one-dimensional bosons and fermions, spin chains and
spin ladders
Wen-Li Yang
Quantum algebras and representation theory, correlation functions,
integrable and exactly solvable systems, quantum and conformal field
theories.
Quantum algebras and representation theory, correlation functions, integrable and exactly solvable systems, disordered systems, quantum and conformal field theories.
Shao-You Zhao
Quantum algebras and representation theory, correlation functions,
integrable and exactly solvable systems,
quantum and conformal field theories.
Current Students
- Tony Badrick, Topics in noncommutative geometry and quivers. Advisors: Mark Gould, Barry Jones.
- John Paul Barjaktarevic, Bifurcations, phase transitions and
teleportation in entangled quantum systems.
Advisors: Gerard Milburn, Jon Links.
- Bob Buttsworth, Loop algebra extensions of quantum doubles of
dihedral groups Advisors: Jon Links, Karen Dancer, Phil Isaac.
- Chris Campbell, Exact solutions of lattice models with anyonic
symmetry. Advisors: Karen Dancer, Phil Isaac, Jon
Links.
- Tel Lekatsas, Aspects of Hopf algebras and quasi Hopf algebras, link polynomials for quantum algebras. Advisors: Mark Gould, Jon Links.
- Xin Liu, Algebraic and field theory methods in physically important systems. Advisors: Yao-Zhong Zhang, Tony Bracken.
- Vincent Mellor, The Ising model.
Advisors: Jon Links, Katrina Hibberd.
- Liam Wagner, A category theoretic approach to confinement and exclusion principles in physics. Advisors: Jon Links, Mark Gould, Phil Isaac.
- Philip Watson, Aspects of the interface between classical and
quantum mechanics. Advisors: Tony Bracken, Phil Isaac.