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of operation for symmetric-key cryptography, including, but not limited to, message authentication codes, pseudorandom functions, encryption schemes, deck functions, hash functions, and hash-based signatures
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mathematical arguments, and a drive to improve these skills. Curiosity about chaos, nonlinear dynamics, and unpredictability. Solid foundations in linear algebra and differential equations. Proficiency in
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motion in non-classical geometries using combinatorial, algebraic, and group-theoretic methods, inspired by the mathematical theory of articulated systems and constraint geometry. Possible tools include
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an advanced topic in one of the following areas: Mathematical Analysis, Differential Equations, Geometry and Topology, Mathematical Logic, Algebra, and Combinatorics. Fellowship duration: The grant is expected
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competence in probability, linear algebra, and statistical modelling is essential for this position. A strong interest in probabilistic modelling, latent-variable methods or Bayesian methodology is essential
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mathematical, statistical, or computational tools. The candidate must demonstrate a strong interest in methodological development. Proven competence in probability, linear algebra, and statistical modelling is
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for joint events. What we expect A solid background in at least one of the areas essential for the CRC, e.g., higher category theory, algebraic/arithmetic geometry, homotopy theory, geometric topology
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focuses on four key research themes: Algebra, Geometry, and Number Theory; Analysis and Dynamical Systems; Probability; and Statistics and Data Science. There is extensive collaboration between these themes
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logic and computation in classical and algebraic frameworks. This is an active area within logic in computer science and database theory with many possible research directions. The supervisor will help
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, cluster structures, flat surfaces, and spectral networks. The goal of the project is to build new far-reaching connections between algebraic geometry, dynamical systems, and mathematical physics using a