PhD theses (TN-IMF)
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Shape Statistics via Skeletal Structures
(PhD thesis UiS; 781, Doctoral thesis, 2024)Statistical shape analysis has emerged as a crucial tool for medical researchers and clinicians to study medical objects such as brain subcortical structures. The insights gained from such analyses hold immense potential ... -
In medium static quark anti-quark potential from lattice QCD
(PhD thesis UiS; 775, Doctoral thesis, 2024)In this thesis we present recent progress in the quest to study the properties of the quark gluon plasma in relativistic heavy ion collisions through a better understanding of the binding of heavy quark and anti-quark pairs ... -
An Investigation of Second-Order Finite Volume Methods for Field-scale Reservoir Simulation
(PhD thesis UiS;, Doctoral thesis, 2024)This thesis focuses on improving the accuracy of numerical simulation of flow in subsurface reservoirs by using second-order finite volume methods. The first-order finite volume method, commonly used in reservoir simulation, ... -
Signal analysis in gravitational wave data
(PhD thesis UiS;, Doctoral thesis, 2024)In this thesis, I study the gravitational wave signals coming from compact objects on both present-stage, and future gravitational wave detectors. The thesis is based on 3 articles, which will be presented after two brief ... -
Real-Time Complex Langevin - A Differential Programming Perspective
(PhD thesis UiS;, Doctoral thesis, 2023)In this thesis, I aim to find solutions to the NP-hard sign-problem that arises when modeling strongly correlated systems in real-time. I will use the complex Langevin (CLE) method, and address its problem of runaway ... -
Non-equilibrium quantum field dynamics in the early Universe
(PhD thesis UiS;, Doctoral thesis, 2023)Inflation is the leading paradigm of early Universe cosmology. It provides compelling explanations of the observed near-homogeneity of the cosmic microwave background (CMB) radiation, the spatial flatness of the Universe ... -
Bridgeland Stability Conditions and the Hilbert Scheme of Skew Lines in Projective Space
(PhD thesis UiS;, Doctoral thesis, 2023-03)Bridgeland stability conditions are powerful tools for studying derived categories, with several applications to algebraic geometry. They were introduced by Bridgeland in 2002 [Bri07], who was motivated by Douglas’ work ... -
Properties of Paley–Wiener spaces: sampling sets, contractions, and geometry of the unit ball
(PhD thesis UiS;, Doctoral thesis, 2023-03)This Thesis is based on five papers, four of which are published and one has been submitted for publication. For convenience of the reader, we also include one chapter that contains a brief overview of the results, some ... -
From Symmetries to Scattering Amplitudes: A Lie-algebraic categorisation of symmetry-breaking patterns that create enhanced soft limits for NG bosons
(PhD thesis UiS;, Doctoral thesis, 2022-11)The standard calculation of scattering amplitudes in quantum field theory is carried out using a perturbative expansion, that at successive orders contains an escalating number of terms to calculate. The amplitudes depend ... -
Investigation of crystal field, magnetic frustration and magnetization reversal effects in 4f and 3d oxides
(PhD thesis UiS;, Doctoral thesis, 2022-09)This thesis deals with the investigation of single-ion excitations, magnetic frustration, and magnetization reversal phenomena. We have employed neutron scattering, μ+SR, and computational methods for these studies. Inverse ... -
Direct- and reciprocal space structure modelling: Contributions to the advanced understanding of inclusion compounds
(PhD thesis UiS;, Doctoral thesis, 2022-05)The main content of this thesis falls naturally into one of two parts. The chapters come in an order which follows the research development, but encapsulates single topics enough to allow the reader some flexibility. In ... -
Equivalences between Calabi–Yau manifolds and roofs of projective bundles
(PhD thesis UiS;, Doctoral thesis, 2021-04)It is conjectured that many birational transformations, called K-inequalities, have a categorical counterpart in terms of an embedding of derived categories. In the special case of simple K-equivalence (or more generally ... -
Information in Local Curvature: Three Papers on Adaptive Methods in Computational Statistics
(PhD thesis UiS;562, Doctoral thesis, 2020-11)Advanced statistical computations have become increasingly important, as with the increased flexibility of models capturing complex relationships in new data and use-cases, comes increased difficulties of fitting procedures ... -
A mathematical approach to Wick rotations
(PhD thesis UiS;536, Doctoral thesis, 2020-09)In this thesis we define Wick-rotations mathematically using pseudo-Riemannian geometry, and relate Wick-rotations to real geometric invariant theory (GIT). We discover some new results concerning the existence of Wick ... -
Nil-Killing vector fields and Kundt structures
(PhD thesis UiS;529, Doctoral thesis, 2020-06)This thesis is based on three papers, for which two have been submitted for publication and one is published. A chapter presenting relevant background material is included giving convenient access to preliminary foreknowledge ... -
The experimental and theoretical investigation of single-crystal diamond compound refractive lenses (CRLs)
(PhD theses (TN-IMF);527, Doctoral thesis, 2020-06)In the field of X-ray optics, compound refractive lenses (usually termed CRLs) function as a focusing device for hard X-rays and they are believed to possess a lot of prominent advantages over other focusing devices, such ... -
Tales from Wonderland
(Doctoral thesis, 2020-06)Knowing that the Universe is quite isotropic, one may, as already discussed in Chapter 1, wonder how likely such a Universe is. We take the following research question. Question 1. Is the asymptotic future of a cosmology ... -
Essays in statistics and econometrics
(PhD thesis UiS; 523, Doctoral thesis, 2020-05)Helped by cheaper data computation, companies make more use of sophisticated statistical analysis in decision making and economic management. In the dissertation I evaluate and develop statistical methods and apply them ...