Department of Mathematics and Physics (TN-IMF): Nye registreringer
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An exploration of combinatorics and combinatorial geometry from a pedagogical perspective
(Master thesis, 2023)This thesis explores combinatorics and combinatorial geometry and how it can be used in the classroom, with a particular focus on using these sorts of tasks with younger students. There are 4 different types of combinations ... -
Paradokser i sannsynlighetsregning og statistikk, og bruk av disse i undervisningssammenheng
(Master thesis, 2023)I denne oppgaven presenteres ulike paradokser innenfor sannsynlighetsregning og statistikk. Et paradoks er en påstand som er sann, men som virker absurd eller selvmotsigende. Vi kan møte på mange typer paradokser i ... -
The card game SET and finite geometry
(Bachelor thesis, 2023)This thesis explores the underlying mathematics of the card game SET, which is a fast-paced pattern recognition game played with 81 cards. The game involves making SETs of three cards with certain compatibility conditions ... -
The card game SET and finite geometry
(Bachelor thesis, 2023)This thesis explores the underlying mathematics of the card game SET, which is a fast-paced pattern recognition game played with 81 cards. The game involves making SETs of three cards with certain compatibility conditions ... -
Multivariate Statistics
(Bachelor thesis, 2023)This bachelor thesis provides an introduction to multivariate statistics, which is the analysis of data with multiple variables using statistical methods. The thesis focuses on the generalization of the normal distribution ... -
No room to hide: implications of cosmic-ray upscattering for GeV-scale dark matter
(Peer reviewed; Journal article, 2023)The irreducible upscattering of cold dark matter by cosmic rays opens up the intriguing possibility of detecting even light dark matter in conventional direct detection experiments or underground neutrino detectors. The ... -
Beyond cuts in small signal scenarios: Enhanced sneutrino detectability using machine learning
(Peer reviewed; Journal article, 2023)We investigate enhancing the sensitivity of new physics searches at the LHC by machine learning in the case of background dominance and a high degree of overlap between the observables for signal and background. We use two ... -
Tidserier for finansiell data
(Bachelor thesis, 2023)The motivation for this thesis is to grasp general theory and principles for modeling time series, for the application to financial data. By going through the theory that makes up this field and bringing that perception ... -
Differential equations and some of their applications in chemistry
(Bachelor thesis, 2023) -
Towards learning optimized kernels for complex Langevin
(Peer reviewed; Journal article, 2023)We present a novel strategy aimed at restoring correct convergence in complex Langevin simulations. The central idea is to incorporate system-specific prior knowledge into the simulations, in order to circumvent the NP-hard ... -
Firewall black holes and echoes from an action principle
(Peer reviewed; Journal article, 2023)It is often said that there is no gravity theory based on local action principles giving rise to firewall black hole solutions. Additionally, Guo and Mathur [Int. J. Mod. Phys. D 31, 2242009 (2022).] have cast doubt on the ... -
Connecting analysis, algebra, and topology; Generalizing Maxwell's equations
(Bachelor thesis, 2023)This thesis explores the mathematical concepts of differential forms and their applications in higher dimensional geometries, known as manifolds. We will see how the topological invariants of a geometry are related to ... -
Families of Proper Holomorphic Embeddings and Carleman-Type Theorem with parameters
(Peer reviewed; Journal article, 2023)We solve the problem of simultaneously embedding properly holomorphically into C2 a whole family of n-connected domains Omega_r in P1 such that none of the components of P1 \ Omega_r reduces to a point, by constructing a ... -
Topological G2 and Spin(7) strings at 1-loop from double complexes
(Peer reviewed; Journal article, 2022)We study the topological G2 and Spin(7) strings at 1-loop. We define new double complexes for supersymmetric NSNS backgrounds of string theory using generalised geometry. The 1-loop partition function then has a target-space ... -
Gauging discrete symmetries of TN-theories in five dimensions
(Peer reviewed; Journal article, 2022)We study the gauging of a discrete ℤ3 symmetry in the five-dimensional superconformal TN theories. We argue that this leads to an infinite sequence of five-dimensional superconformal theories with either E6 × SU(N) or SU(3) ... -
X‐ray and Synchrotron FTIR Studies of Partially Decomposed Magnesium Borohydride
(Peer reviewed; Journal article, 2022)Magnesium borohydride (Mg(BH4)2) is an attractive compound for solid-state hydrogen storage due to its lucratively high hydrogen densities and theoretically low operational temperature. Hydrogen release from Mg(BH4)2 occurs ... -
Thoughts about the utility of perturbative QCD in the cores of neutron stars – contribution to a roundtable discussion on neutron stars and QCD
(Peer reviewed; Journal article, 2022)In this contribution, I discuss the utility that perturbative QCD offers in studying the matter in the cores of neutron stars. I discuss the reasons why perturbative QCD can constrain the equation of state at densities far ... -
The complex heavy-quark potential in an anisotropic quark-gluon plasma — Statics and dynamics
(Peer reviewed; Journal article, 2022)We generalize a complex heavy-quark potential model from an isotropic QCD plasma to an anisotropic one by replacing the Debye mass mD with an anisotropic screening mass depending on the quark pair alignment with respect ... -
Bayesian inference of real-time dynamics from lattice QCD
(Peer reviewed; Journal article, 2022)The computation of dynamical properties of nuclear matter, ranging from parton distribution functions of nucleons and nuclei to transport properties in the quark-gluon plasma, constitutes a central goal of modern theoretical ... -
Optimisation of Thimble simulations and quantum dynamics of multiple fields in real time
(Peer reviewed; Journal article, 2022)We apply the Generalised Thimble approach to the computation of exact path integrals and correlators in real-time quantum field theory. We first investigate the details of the numerical implementation and ways of optimizing ...