Faculty
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representation theory; algebraic groups; flag varieties; symmetric varieties; spherical varieties
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Algebraic Geometry, 0-dimensional schemes, secant varieties, Commutative Algebra, tensor decompositions, Rational Curves
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Birational Geometry, Singularities, Elliptic fibrations, in particular Calabi Yau varieties and applications to String
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Image Processing, Geometry Processing, Inverse Problems
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image restoration, ill-posed inverse problems, constrained optimization
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numerical methods for non-linear, non-differentiable and non-convex optimization, inverse problems in imaging,
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harmonic analysis; one and several complex variables; elliptic equations
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Cartan Geometry, Quantum geometry and quantum gravity, Higher spin gauge theory
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Quantitative finance,, High frequency finance, Market microstructure, Financial networks, Systemic risk, Financial
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Descriptive Set Theory, Category Theory, Homological Algebra, Algebraic Topology, Operator Algebra, Ergodic Theory,
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Mathematics Education, Arithmetic learning, Semiotics, Mathematical discussion