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Topological phases of matter have reshaped how we think about quantum systems. Unlike conventional phases (such as solids, liquids, or magnets), which are characterized by local order, topological
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limitations that cannot be overcome with bigger models and larger datasets. A critical issue is the embedding of hierarchies, for which a different geometry is better suited, namely hyperbolic geometry. Seminal
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spherical surface and those on a toroidal (doughnut-shaped) surface. These geometries differ fundamentally in curvature and topology, and only in the past few years have experiments begun to explore them
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issue is the embedding of hierarchies, for which a different geometry is better suited, namely hyperbolic geometry. Seminal works have shown that for embedding hierarchies, we should abandon Euclidean
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volumes can be dealt with using Discrete Cosine Matrices (DCM) and quaternion-based orientation modelling. Mining deposits are rarely isotropic, their geometry reflects geological processes such as folding
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PHD DEVELOPMENT AND EXPERIMENTAL VALIDATION OF UNDERGROUND SAND-BASED THERMAL ENERGY STORAGE SYSTEMS
thermo-hydraulic-(mechanical) models and perform system-level simulations to analyse heat and moisture transport within the of the SMTES system and assess its performance under different boundary
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of Mathematics ranges over many different areas of mathematics, from algebra, geometry and analysis to mathematical logic. Project description We seek to recruit a PhD student for the following project: Group
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, and requirement structures. 2D and 3D spatial reasoning, including general arrangement exploration, layout optimization, and constraint-aware geometry generation. AI-based performance assessment in
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automated creation of tender documents, specifications, and requirement structures. 2D and 3D spatial reasoning, including general arrangement exploration, layout optimization, and constraint-aware geometry
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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