• An Introduction to Supersymmetry 

      Henriksen, Tobias Våge (Masteroppgave/UIS-TN-IMF/2019;, Master thesis, 2019-06-14)
      This thesis gives an introduction to supersymmetry. We compute the Poincaré- conformal- and Clifford algebra in any dimension. Most examples are in four dimensions, including the Wess-Zumino model and supersymmetric gauge ...
    • Analyticity in Several Complex Variables 

      Zahid, Sadaf (Masteroppgave/UIS-TN-IMF/2020;, Master thesis, 2020)
      there are many similarities between complex analysis in several variables and one variable but there are also some important differences between holomorphic functions of a single variable and holomorphic functions of $n$ ...
    • Bridgeland Stability Conditions and the Hilbert Scheme of Skew Lines in Projective Space 

      Soulimani, Sammy Alaoui (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 ...
    • Competing risk analysis of Norwegian mortality 

      Nusr, Suhbeldin (Masteroppgave/UIS-TN-IMF/2019;, Master thesis, 2019-06)
      Survival data analysis is a set of statistical methodologies that is used to model time until a certain event occurs. Competing risks data arise frequently in survival data from medical research in situations when individuals ...
    • Describing mechanical degradation in polymer solution using the FENE-P bead-spring-chain non-Newtonian fluid model. 

      Subedi, Ramesh (Masteroppgave/UIS-TN-IMF/2019;, Master thesis, 2019-06)
      Polymer solutions are non-Newtonian fluids used in enhanced oil recovery due to their specific properties: Adding high-molecular-weight polymers to injected water significantly increases the apparent viscosity of the latter, ...
    • EPW Cubes 

      Iliev, Atanas; Kapustka, Grzegorz; Kapustka, Michal; Ranestad, Kristian (Journal article; Peer reviewed, 2016-08)
      We construct a new 20-dimensional family of projective six-dimensional irreducible holomorphic symplectic manifolds. The elements of this family are deformation equivalent with the Hilbert scheme of three points on a K3 ...
    • Estimating and Forecasting of Dynamic linear Gaussian State Space Models for Commodity Futures 

      Holen, Anders (Masteroppgave/UIS-TN-IMF/2019;, Master thesis, 2019-06-14)
      The Kalman filter is used to estimate the parameters and forecast the observations in a dynamic Nelson-Siegel model a linear Gaussian state space representation for futures contracts on the commodities oil, natural gas, ...
    • Fourier quasicrystals with unit masses. 

      Olevskii, Alexander; Ulanovskii, Alexander (Peer reviewed; Journal article, 2020)
      The sum of δ-measures sitting at the points of a discrete set Λ⊂R forms a Fourier quasicrystal if and only if Λ is the zero set of an exponential polynomial with imaginary frequencies.
    • From Symmetries to Scattering Amplitudes: A Lie-algebraic categorisation of symmetry-breaking patterns that create enhanced soft limits for NG bosons 

      Bogers, Mark (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 ...
    • Interpolation of weighted extremal functions 

      Rashkovskii, Alexander (Peer reviewed; Journal article, 2021-03)
      An approach to interpolation of compact subsets of Cn, including Brunn–Minkowski type inequalities for the capacities of the interpolating sets, was developed in [8] by means of plurisubharmonic geodesics between relative ...
    • Introduction to Supersymmetry 

      Åm, Onar (Masteroppgave/UIS-TN-IMF/2020;, Master thesis, 2020-06)
      This thesis covers the mathematical foundations of supersymmetry, and looks at the simplest non-trivial example of supersymmetry in physics, the Wess-Zumino model. On the way we will also explicitly calculate the Poincar´e ...
    • Involutions of Quadrics 

      Kukalaj, Endrit (Masteroppgave/UIS-TN-IMF/2020;, Master thesis, 2020-07-09)
      In the introductory chapter, we will explain briefly what all this work is about. First is worthy to mention that the most included area is algebraic geometry, which of course is a combination of algebra and linear algebra. ...
    • Lattice Monte Carlo simulation and phase transitions in scalar field theories 

      Vembe, Jon (Masteroppgave/UIS-HF-IMF/2019;, Master thesis, 2019-06-15)
      The cubic anisotropy model is a simple scalar field theory with a phase transition of either first- or second order depending on the values of its parameters, with similarities to the electroweak phase transition that ...
    • Left-Invariant Pseudo-Riemannian Metrics on Lie Groups 

      Markestad, Styrbjørn Juhl (Masteroppgave/UIS-TN-IMF/2020;, Master thesis, 2020)
      n differential geometry and mathematical physics, there is interest in left-invariant pseudo-Riemannian metrics on Lie groups. We learn and review Lie theory, representation theory, geometric invariant theory, and differential ...
    • Modelling fire occurrences in heavy goods vehicles in Norwegian road tunnels 

      Njå, Ådne (Masteroppgave/UIS-TN-IMF/2019;, Master thesis, 2019-06-15)
      This master thesis project has been organized to scrutinize current incident data on near fires and fully developed fires in Norwegian road tunnels longer than 500 meter. This length is chosen because it is assumed that ...
    • Overall and relative Survival for Cancer Patients 

      Khawar, Isra (Masteroppgave/UIS-TN-IMF/2019;, Master thesis, 2019-06)
      In this thesis, basic concepts of survival analysis such as censoring, truncation and survival functions are described. Measures of survival ( i.e overall survival, net survival and relative survival ratio) and ...
    • Poncelet's Theorem 

      Larsen, Anne Synnøve (Masteroppgave/UIS-TN-IMF/2018;, Master thesis, 2018-10)
      This thesis will be concerned with different questions related to the theorem of Poncelet. We will study the historical background of the theorem and learn theory needed to understand two different proofs.
    • Properties of Paley–Wiener spaces: sampling sets, contractions, and geometry of the unit ball 

      Zlotnikov, Ilia (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 ...
    • Sample size requirements for agreement studies 

      Tolokonnikova, Bogdana (Masteroppgave/UIS-TN-IMF/2019;, Master thesis, 2019-06)
      This thesis examines requirements of subject sample size while planning a medical experiment, describes some known types of measures of inter-rater agreement and discovers some new useful results in this study area. The ...
    • Statistical Shape Analysis of Brain Structures 

      Taheri Shalmani, Mohsen (Masteroppgave/UIS-TN-IMF/2020;, Master thesis, 2020-06)
      The purpose of this work is to study structural differences of the left hippocampus between patients with Parkinson's disease (PD) and healthy control group (CG) based on shape models like skeletal representation (s-rep) ...