Theses  Applied Mathematics and Theoretical Physics
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Skyrmions  beyond rigid body quantisation
(20171001)In the Skyrme model, nuclei are described as topological solitons known as Skyrmions. To make contact with nuclear data one must quantise these Skyrmions; most calculations to date have used rigid body quantisation, where ... 
Zonal flows in accretion discs and their role in gravitoturbulence
(20171001)This thesis focuses on the evolution of zonal flows in selfgravitating accretion discs and their resulting effect on disc stability; it also studies the process of disc gravitoturbulence, with particular emphasis given ... 
Newtonian Twistor Theory
(20171001)In twistor theory the nonlinear graviton construction realises fourdimensional antiself dual Einstein manifolds as Kodaira moduli spaces of rational curves in threedimensional complex manifolds. We establish a Newtonian ... 
BPS Approaches to Anyons, Quantum Hall States and Quantum Gravity
(20171003)We study three types of theories, using supersymmetry and ideas from string theory as tools to gain understanding of systems of more general interest. Firstly, we introduce nonrelativistic ChernSimonsmatter field ...