Master of Science in Advanced Mathematics and Mathematical Engineering (MAMME)
Recent Submissions
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On publicly verifiable secret sharing schemes
(Universitat Politècnica de Catalunya, 2023-01)
Master thesis
Open AccessSecret sharing allows a dealer to distribute shares of a secret to a set of parties such that only so-called authorised subsets of these parties can recover the secret, whilst forbidden sets gain at most some restricted amount ... -
Hunting for keystones: Methodologies for the identification of relevant species from microbiome datasets and co-occurrence networks
(Universitat Politècnica de Catalunya, 2022-10)
Master thesis
Restricted access - confidentiality agreement
Covenantee: Institut de Recerca Biomèdica -
Mesh adaptation for turbine alignment in wind farm simulation
(Universitat Politècnica de Catalunya, 2022-10)
Master thesis
Open Access
Covenantee: Barcelona Supercomputing CenterAn alternative approach for the mesh generation process in wind farm modeling is explained, based on metric-driven mesh adaptation to the actuator disc models of the turbines. Unlike the standard approach based treating ... -
Implementation of a test for branch saturation in a phylogenetic tree
(Universitat Politècnica de Catalunya, 2022-10)
Master thesis
Open Access
Covenantee: Center for Integrative Bioinformatics ViennaIn a phylogenetic tree, branch saturation is the occurrence of too many mutations along a branch as to provide information about the branch location and length. Since branch saturation leads to unreliable reconstructed ... -
Topological data analysis
(Universitat Politècnica de Catalunya, 2022-10)
Master thesis
Open AccessWe explore Persistence Theory in its full generality. As a particular instance, we first discuss one parameter persistence theory, which arises from uniparametric filtrations of spaces. Although enjoying many excellent ... -
Computational modeling of flexoelectrity and applications
(Universitat Politècnica de Catalunya, 2022-10)
Master thesis
Open AccessIn this thesis we focus on computational modelling of flexoelectricity for the design of metamaterials exhibiting apparent piezoelectricity. To do this, we introduce generalized periodicity conditions in an existing finite ... -
Filtering properties of neuronal networks
(Universitat Politècnica de Catalunya, 2022-10)
Master thesis
Open Access
Covenantee: New Jersey Institute of TechnologyMathematical models are widely used to characterize the nervous system. Moreover, they continue to be the subject of further research. This work consists of two parts where different mathematical modeling tools are exploited ... -
Advanced mathematics for new therapeutics: a proposal for chronic pain
(Universitat Politècnica de Catalunya, 2022-10)
Master thesis
Open AccessG protein-coupled receptors are membrane proteins that transmit signals inside the cell by the interaction of neurotransmitters, hormones, and synthetic molecules. These proteins may be present in the membrane forming ... -
Singularities via the Frobenius homomorphism
(Universitat Politècnica de Catalunya, 2022-10)
Master thesis
Open AccessResolution of singularities in algebraic varieties has been a topic of interest in commutative algebra and algebraic geometry during the last decades. Altough we have a theory of resolution of singularities for rings of ... -
Oscillatory dynamics with applications to cognitive tasks
(Universitat Politècnica de Catalunya, 2022-10)
Master thesis
Open AccessOscillations are ubiquitous in the brain and robustly correlate with distinct cognitive tasks. A specific type of oscillatory signals allows robust switching between states in networks involved in memorizing tasks. In ... -
Improving neural networks using topological data analysis
(Universitat Politècnica de Catalunya, 2022-09)
Master thesis
Open AccessGeneralisation measures are metrics that indicate how well a neural network will perform in presence of unknown data. Differentiable generalisation measures with respect to the parameters of a neural network that use only ... -
Finiteness properties of local cohomology modules
(Universitat Politècnica de Catalunya, 2022-09)
Master thesis
Open AccessLocal cohomology modules are one of the central objects in commutative algebra. However, the structure of these modules is still full of mystery. Lyubeznik conjectured that the number of associated primes and all the Bass ...
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