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Facultat de Matemàtiques i Estadística: Recent submissions

  • Disentangling ecological networks in marine microbes 
    Deutschmann, Ina Maria (Date of defense: 29-11-2021)
    There is a myriad of microorganisms on Earth contributing to global biogeochemical cycles, and their interactions are considered pivotal for ecosystem function. Previous studies have already determined relationships between ...
  • p-adic L-functions, p-adic Gross-Zagier formulas and plectic points 
    Hernández Barrios, Víctor (Date of defense: 19-04-2022)
    In this work we generalize the construction of p-adic anticyclotomic L-functions associated to an elliptic curve E/F and a quadratic extension K/F, by defining a measure µ_f^p attached to K/F and an automorphic form. In ...
  • Probabilistic and extremal studies in additive combinatorics 
    Wötzel, Maximilian (Date of defense: 26-01-2022)
    The results in this thesis concern extremal and probabilistic topics in number theoretic settings. We prove sufficient conditions on when certain types of integer solutions to linear systems of equations in binomial ...
  • Geometrical aspects of contact mechanical systems and field theories 
    Rivas Guijarro, Xavier (Date of defense: 17-12-2021)
    Many important theories in modern physics can be stated using the tools of differential geometry. It is well known that symplectic geometry is the natural framework to deal with autonomous Hamiltonian mechanics. This admits ...
  • Threshold phenomena involving the connected components of random graphs and digraphs 
    Coulson, Matthew John (Date of defense: 13-12-2021)
    We consider some models of random graphs and directed graphs and investigate their behavior near thresholds for the appearance of certain types of connected components. Firstly, we look at the critical window for the ...