Archives: Research Groups

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  • Research Groups

    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

    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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    Research

    In the 19th century, the study of algebraic extensions generated by radicals led to the foundations of Kummer theory. This theory is elegant in itself, and it also has applications to various (contemporary) problems in number theory. We are providing new insights and we are developing this flexible tool.

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