Faculty
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Stochastic analysis, Stochastic (ordinary and partial) differential equations, Hypoelliptic equations,
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Mathematical foundations of quantum mechanics, quantum information theory, quantum computing, quantum machine learning
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Algebraic geometry, Algebraic varieties, Fano varieties, Toric varieties, Deformation theory, Mirror symmetry
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discrete subgroups of Lie groups, (higher) Teichmüller theory, Anosov representations, geometric group theory,
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Lie Superalgebras, Cayley-Grassmann algebras, Classical invariant theory
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geometric topology, hyperbolic manifolds, (G,X)-structures, low-dimensional topology
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Computer Aided Geometric Design, Curve and surface modelling, Splines, Pythagorean-Hodograph curves, Subdivision
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Calculus of Variations, Isoperimetric inequalities, Shape optimization, Functional inequalities, Quantitative
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numerical approximation of partial differential equations, finite element methods, nonlinear PDEs in materials science,
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wave propagation, shape memory alloys, cultural heritage, extended thermodynamics, non destructive tests
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Machine learning, Random optimization problems, Statistical inference, Random matching problems
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matrix equations, iterative methods for the solution of algebraic linear systems and for eigenvalue problems,
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Statistical Mechanics, Spin Glasses, Neural Networks, Random Graphs, Quantitative Finance, Statistical Inference,
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keywords:
mathematical models of AD, Carnot groups, differential forms, compensated compactness, homogenization, statistical
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