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Fixed-term: The funds for this post are available for 2 years in the first instance. Applications are invited for a Research Assistant/Associate to work on the intersection of geometry, topology and
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. This project will revolve around various questions in spectral geometry, especially around low eigenvalues and related eigenfunctions. The eigenfunctions exhibit various interesting topological and geometric
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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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ultrafast laser pulses on femtosecond timescales. Combining nanofabrication, electromagnetic simulation, and pump–probe laser measurements, the project will explore how 3D geometry, and different materials
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local gas/liquid phase conditions. Whilst direct simulations of breakup are possible, computational cost is high, restricting applications to small sections of geometry and for modest run times
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quantum systems with exact integrability, Apply these ideas in contexts ranging from holography to resurgent quantum field theory. The project lies at the intersection of geometry, algebra, and quantum
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to focus on the relationship between geometry and quantum theory. A key objective will be the conceptual and mathematical understanding of the original Penrose spin network, with a view toward foundational
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parameters, underlying material geometry and process environment). • Integrating process-dependent transferred arc energy distributions into an improved heat source model for FEA simulations. • Creating an FEA
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simulations, covering a range of typical part geometries and deposition strategies, complemented by experimental validation. • Developing an efficient method for converting partial surface temperature data
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effective flow control strategies Develop ML models to predict complex flows in porous media configurations Design optimised porous media geometries for enhanced mixing efficiency. Training opportunities