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Mathematics, with a strong background in probability theory and complex analysis. Skills in differential geometry are also required. The thesis topics will focus on constructive field theory for conformal field
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Hamiltonian systems, Floer homology, analysis and applications of Dirac operators, symmetries of differential equations, geometric mechanics, Finsler geometry, …. You will organise your own PhD research and
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pure and applied analysis, differential geometry, algebraic geometry and topology, number theory, functional analysis, mathematical physics, non-commutative geometry, special functions and applied
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parametric reduced order models of operating wind turbines, information contained in their differential geometry and safe data-driven control/reinforcement learning tools jointly developed with the second PhD
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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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quantification (UQ), calibration, or control. An illustrative example is computational hemodynamics. In this application, fully resolved simulations of blood flow in patient-specific arterial geometries require
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into the following sections: A - Algebra, Number Theory and Logic B - Analysis and Differential Equations C - Discrete Mathematics D - Geometry and Topology E - Numerical Mathematics and Scientific Computing F
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of Utrecht University. Our expertise covers a broad spectrum of topics, ranging from algebraic and differential geometry to algebraic topology, logic, and number theory. During your PhD programme, up to 15
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, differential equations, geometry/topology, numerical analysis, optimization, and statistics. Part of the research is also carried out in close cooperation with other fields of science and technology at NTNU, as