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of geometric measure theory, the calculus of variations, partial differential equations, and geometric analysis. The specific objective is to develop techniques to establish existence, regularity, uniqueness
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problems at the interface of geometric measure theory, the calculus of variations, partial differential equations, and geometric analysis. The successful candidate will contribute to the development
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track record in research aligned with partial differential equations and/or geometric analysis. You will demonstrate the ability to work independently, contribute to team-based projects, and guide
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Operator Algebras, Nonlinear Functional Analysis, Topology and Geometry, algebra, etc. l applied mathematics, including Partial Differential Equations, Dynamical Systems, Combinatorics and Graph Theory
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approaches. Through innovative work combining machine learning with new paradigms for direct solvers of high-dimensional partial differential equations, members of CHaRMNET aim to overcome this challenge
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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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areas will be considered when selecting candidates: Machine Learning, Neural Networks, Numerical solutions of Partial Differential Equations and Stochastic Differential Equations, Numerical Optimization
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machine learning techniques for building efficient reduced-order models in the context of the numerical simulation of parameterized partial differential equations. The analysis of recent deep learning
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JAX/Julia would be a nice plus. Experience in one or more of the following areas will be considered a strong merit: stochastic (partial) differential equations, controlled differential equations
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). The Department of Mathematics (MAI) at Linköping University has a long-standing tradition of excellence in mathematical analysis, with particular strength in partial differential equations, function spaces and