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to understand how the properties of thin quantum-fluid films—systems that behave in strikingly non-classical ways—are affected by surface geometry. Two key cases will be investigated: quantum fluids confined to a
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developments in cosmology, string theory and quantum field theory, together with important progress in topology and differential geometry, have caused these fields to become increasingly intertwined, as
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ultimately allow us to design robust, manufacturable, and effective passive flow control concepts using smart materials and geometries for the next wave of hypersonic flight. You will develop an end-to-end
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electro-optic devices, notably the multi-billion dollar liquid crystal display industry. The mathematics of LCs is very rich and cuts across analysis, topology, mechanics, partial differential equations and
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Data-driven predictions of dynamical systems are used in many applications, ranging from the design of products and materials to weather and climate predictions. Mathematical concepts from geometry
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in Random Media’. The PhD position focuses on the dynamical behaviour of stochastic partial differential equations (SPDEs). In particular, we will consider the impact that noise terms have on patterns
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into the following sections: A - Algebra, Number Theory and Logic B - Analysis and Differential Equations C - Discrete Mathematics D - Geometry and Topology E - Numerical Mathematics and Scientific Computing F