Archives: Research Groups

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    Research

    We study low dimensional manifolds, their geometry, topology, and deformations. Understanding the world of shapes is understanding the shape of our world.

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    Revealing Order in Randomness

    Group members study complex random systems by means of probabilistic, analytical, and geometric methods.

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    Geometric Structure and Moduli Spaces

    We study geometric structures on low-dimensional manifolds, such as hyperbolic or anti-de Sitter structures, representations of surface groups in Lie groups, and their moduli spaces.

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  • Research Groups

    Research

    The research group carries out fundamental research in algebraic number theory and arithmetic geometry and it explores relations with cryptography. A particular feature is the development and the use of computer algebra tools. Experimental data often lead to unexpected observations and give the necessary insights to lead to a deeper theoretical understanding.

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