# Browse Dissertations and Theses - Mathematics by Contributor "Hieronymi, Philipp"

• (2018-06-29)
This thesis consists of two unrelated research projects. In the first project we study the model theory of the 2-sorted structure (F, C; χ), where F is an algebraic closure of a finite field of characteristic p, C is the ...

application/pdf

PDF (560kB)
• (2018-07-09)
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. ...

application/pdf

PDF (988kB)
• (2017-12-08)
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 Junco--Lema\'nczyk [\ref{DL_B}] ...

application/pdf

PDF (405kB)
• (2015-01-21)
In this dissertation, we study three problems about Ramsey theory. First, we prove a self-dual Ramsey theorem for parameter systems which is a generalization of the self-dual Ramsey theorem developed by Solecki. Second, ...

application/pdf

PDF (693kB)
• (2017-07-13)
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 ...

application/pdf

PDF (698kB)
• (2017-07-09)
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 ...

application/pdf

PDF (3MB)
• (2018-01-10)
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 ...

application/pdf

PDF (649kB)