Recent Submissions

  • A minimal bound and divergence case on the elliptic curves over finite fields 

    Sota, Antonino (Universitat Politècnica de Catalunya, 2019-10)
    Master thesis
    Open Access
    The main goal of this thesis is the study of elliptic curves over finite fields and the number of points of them. A study of interest is to analyze and find the cases when the difference #E(F_q^n )-#E(F_q) vanishes, where ...
  • Numerical model of cardiac electromechanics 

    Wieczorek I Masdeu, Nora (Universitat Politècnica de Catalunya, 2019-10)
    Master thesis
    Open Access
    In this project, we develop a Finite Element Method (FEM) formulation that solves the cardiac electrophysiological problem of a three dimensional piece of tissue. This problem is modeled by an electromechanical model that ...
  • An introduction to the Langlands Conjectures 

    Felipe i Alsina, Marc (Universitat Politècnica de Catalunya, 2019-10)
    Master thesis
    Restricted access - author's decision
    In this thesis, we take a look into a generalization of Local Class Field Theory (LCFT), called the Local Langlands Conjecture, which concerns about identifying special representations of the Weil group, a subgroup of the ...
  • Heegner's lemma 

    Jofre Senciales, Jordi (Universitat Politècnica de Catalunya, 2019-10)
    Master thesis
    Open Access
    Es un treball que explica una mica com Heegner va fer per trobar una familia de nombre congruents. Tambe explico les eienes que es necessiten de class field theory i modular functions. També explica el metode de descents ...
  • Isogeny-Based Post-Quantum Cryptography 

    Khandpur Singh, Ashneet (Universitat Politècnica de Catalunya, 2019-10)
    Master thesis
    Restricted access - author's decision
    The present thesis focus on one of the post-quantum cryptosystems, in particular, the isogenybased cryptography. Because of its certain properties like the hard problem of computing isogenies between two elliptic curves, ...
  • Optimal coordinated motions for two square robots 

    Ruiz Herrero, Víctor (Universitat Politècnica de Catalunya, 2019-10)
    Master thesis
    Open Access
    We find the coordinated motion for two square robots that minimizes the sum of the length of the path of every robot, for every initial and final positions of both robots. We study it in an obstacle-free plane, so the ...
  • An Introduction to Polytope Theory through Ehrhart's Theorem 

    Cano Córdoba, Filip (Universitat Politècnica de Catalunya, 2019-10)
    Master thesis
    Open Access
    A classic introduction to polytope theory is presented, serving as the foundation to develop more advanced theoretical tools, namely the algebra of polyhedra and the use of valuations. The main theoretical objective is the ...
  • Toric Orbifolds 

    Elkoroaristizabal Peleteiro, Ander (Universitat Politècnica de Catalunya, 2019-10)
    Master thesis
    Restricted access - author's decision
    The objective of this essay is to introduce some of the broad theory involving toric varieties, and fit into it some recent advances about toric orbifolds. We first introduce the geometric-combinatorial objects the theory ...
  • Approximation schemes for randomly sampling colorings 

    González I Sentís, Marta (Universitat Politècnica de Catalunya, 2019-10)
    Master thesis
    Open Access
    Graph colouring is arguably one of the most important issues in Graph Theory. However, many of the questions that arise in the area such as the chromatic number problem or counting the number of proper colorings of a graph ...
  • Amenability and Thompson’s group F 

    Acedo Moscoso, Diego (Universitat Politècnica de Catalunya, 2019-10)
    Master thesis
    Open Access
    Amenability is a group theoretical property consisting in the existence of a finite measure defined on all subsets of the group. The concept is motivated and introduced, and some criteria, characterizations and generalizations ...
  • Fluid flow queue models for fixed-mobile network evaluation 

    Bernal Escribano, Álvaro (Universitat Politècnica de Catalunya, 2019-07)
    Master thesis
    Open Access
    A methodology for fast and accurate end-to-end KPI, like throughput and delay, estimation is proposed based on the service-centric traffic flow analysis and the fluid flow queuing model named CURSA-SQ. Mobile network ...
  • An analysis of word embedding spaces and regularities 

    Gijón Agudo, Manuel (Universitat Politècnica de Catalunya, 2019-07)
    Master thesis
    Open Access
    Word embeddings are widely use in several applications due to their ability to capture semantic relationships between words as relations between vectors in high dimensional spaces. One of the main problems to obtain the ...

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