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geometry Lena Bunina Model theory, AI in mathematics, algebraic groupsmodel theory of groups, Chevalley groups, applications of AI to mathematics Shira Faigenbaum-Golovin Manifold learning, shape space
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of an Anosov representation. For instance, the boundary at infinity of a hyperbolic group naturally embeds as a subset of a flag manifold for an Anosov representation. The AnSur project aims to study the global
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are in the further particulars): Learning with Structured and Geometric Models. We will apply tools from manifold learning and Riemannian optimisation to leverage the underlying manifold structure
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to work at one of the largest departments of German Philology worldwide consisting of an inspiring group of people dedicated to a manifold range of research and academic teaching. The advertised
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, Isomap), manifold learning, and machine-learning classifiers to extract neural geometry metrics from both species. Systematically compare behavioural and neural data across mice and humans, identifying
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. This post is funded by an EPSRC Grant `Sharifi conjecture for Bianchi 3-manifolds’ held by Dr Tobias Berger and is fixed term for 36 months. The project is developing new tools in the deformation theory
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Feynman conjecture (1993) for quintic Calabi–Yau manifolds, the Yamaguchi–Yau finite generation conjecture and the holomorphic anomaly equation conjecture (2004) on the analyticity of curve-counting
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, pseudo-singularities, and canard solutions on nested invariant manifolds draft, submit, and publish research papers in leading international journals actively engage with local and international project
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transfer (CHT) or fluidic manifold optimization Experience with machine learning/AI (PyTorch or TensorFlow), reduced-order modeling (ROM), or data assimilation (DA) Experience with GPU programming (CUDA and
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, -- partial differential equations and in particular Navier-Stokes equations, -- stochastic analysis, -- mathematical theory for artificial intelligence, -- optimization and numerical computation over manifold