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  • Extremal Combinatorics and Universal Algorithms 

    David, Stefan (2018-10-15)
    In this dissertation we solve several combinatorial problems in different areas of mathematics: automata theory, combinatorics of partially ordered sets and extremal combinatorics. Firstly, we focus on some new automata ...
  • D-cap modules on rigid analytic spaces 

    Bode, Andreas (2018-07-20)
    Following the notion of $p$-adic analytic differential operators introduced by Ardakov--Wadsley, we establish a number of properties for coadmissible $\wideparen{\mathcal{D}}$-modules on rigid analytic spaces. Our main ...
  • Automorphism Groups of Quadratic Modules and Manifolds 

    Friedrich, Nina (2018-07-20)
    In this thesis we prove homological stability for both general linear groups of modules over a ring with finite stable rank and unitary groups of quadratic modules over a ring with finite unitary stable rank. In particular, ...
  • Instabilities in asymptotically AdS spacetimes 

    Dold, Dominic Nicolas (2018-04-28)
    In recent years, more and more efforts have been expended on the study of $n$-dimensional asymptotically anti-de Sitter spacetimes $(\mathcal{M},g)$ as solutions to the Einstein vacuum equations \begin{align*} \mathrm{ ...

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