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Browse Dissertations and Theses  Mathematics by Contributor "Hieronymi, Philipp"
Now showing items 17 of 7

(20180629)This thesis consists of two unrelated research projects. In the first project we study the model theory of the 2sorted structure (F, C; χ), where F is an algebraic closure of a finite field of characteristic p, C is the ...
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(20180709)In this thesis, we study expansions of the real field by multiplicative subgroups of the complex numbers. We first consider expansions by a subgroup generated by an element of the unit circle and a positive real number. ...
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(20171208)We study two different problems: generic behavior of a measure preserving transformation and extending partial isometries of a compact metric space. In Chapter $1$, we consider a result of Del JuncoLema\'nczyk [\ref{DL_B}] ...
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(20150121)In this dissertation, we study three problems about Ramsey theory. First, we prove a selfdual Ramsey theorem for parameter systems which is a generalization of the selfdual Ramsey theorem developed by Solecki. Second, ...
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(20170713)Our results are divided in three independent chapters. In Chapter 2, we show that if g is a generic isometry of a generic subspace X of the Urysohn metric space U then g does not extend to a full isometry of U. The same ...
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(20170709)The ordered valued differential field $\mathbb{T}_{\log}$ of logarithmic transseries is conjectured to have good model theoretic properties. This thesis records our progress in this direction and describes a strategy moving ...
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(20180110)Being closed under truncation for subsets of generalized series fields is a robust property in the sense that it is preserved under various algebraic and transcendental extension procedures. Nevertheless, in Chapter 4 of ...
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Now showing items 17 of 7