In a subsea facility, the pipelines will be surrounded by sea water at 4◦C, which will actively cool the production fluid inside. If temperatures drop below a critical value, water and gas will form unwanted solids called ...

It is an open problem whether the isomorphism class of a finite p-group is determined by its group ring over a field of characteristic p. In this thesis we present the theory of Jennings, which gives invariants of the group ...

In this thesis, we consider the L^2-Betti numbers associated to algebras and equivalence relations. For algebras, we expand upon the motivation between Connes and Shlyakhtenko's definition of L^2-Betti numbers of tracial ...

We consider first-order finite difference schemes for a nonlinear degenerate convection-diffusion equation in one space dimension, and prove an $L^1_{loc}$ error estimate. Precisely, we prove that the $L^1_{loc}$ difference ...

This thesis is a study of linearly normal smooth rational surfaces of degree eleven and sectional genus eight in the projective fivespace. Surfaces satisfying these numerical invariants are special, in the sense that the ...

Given an associative k-algebra A for a field k, we want to give a local description of the moduli space of indecomposable left A-modules. The tool for this will be deformation theory and homological algebra. The goal of ...

We set out to find how copula-based dependence modelling of large jumps in the NIG-Lévy model affects the option price. This leads to the definition of a rejection-based approximation algorithm for the NIG-Lévy. Using ...

Determining the prognosis in an early stage of human cancer can be essential for the choice of optimal therapy. Digital image analysis of cell nuclei is a very useful tool to obtain quantitative information for robust ...