Welcome! I am "Juniorprofessor" at University of Leipzig, and I work within the algebra group of the Institute of Mathematics. My mathematical interests focus on arithmetic algebraic geometry. Here, I am intested in structural as well as in algorithmic questions. Especially, I am interested in the structure and arithmetic of abelian varieties, curves and their coverings, the discrete logarithm problem in elliptic curves over finite fields and more generally the discrete logarithm problem in class groups of curves over finite fields, as well as the problem to solve systems of systems of polynomial equations. My algorithmic research often has a bearing upon cryptography.
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