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, -- mathematical theory for artificial intelligence, -- optimization and numerical computation over manifold, -- systems and control theory, -- algebraic computation theory and cryptography. The position is for two
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developed so far to more general geometric settings, including discontinuous coefficients, obstacles with Dirichlet or Neumann boundary conditions, and possibly manifolds. Details on the scientific project
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detection on graphs Developing models to represent structure in networks using low dimensional manifolds Modeling demographic and health trends in low-resource settings Developing a decision-making framework
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encompasses learning dynamical systems and/or approximating solutions of PDEs on unknown manifolds. Education and Experience: Applicants must have recently completed a Ph.D. and have exceptional research
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) simulations, which will be instrumental to the overarching goal of the project. The main focus of the simulations will be on two-phase flows with complex topologies in electrolyzer manifolds. OpenFoam is the
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Qualifications: Experience in interdisciplinary collaborative research. Understanding of extreme combustion events in gas turbines. Background and expertise in reduced-order manifold-based (flamelet) combustion
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in innovative research that includes: Geometric Control Algorithms: Develop and refine control strategies utilizing differential geometric methods, particularly Riemannian manifolds, to optimize robot
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(e.g., wavefront shaping, beam switching, non-Hermitian photonics, miniaturization of optical components and fundamental limits) and optimization theory (e.g., linear and quadratic programming, manifold