A theoretical and computational study of the interaction between biomembranes and curved proteins 

    Tozzi, Caterina (Date of defense: 2021-04-30)

    Organelles are the smallest functional parts of eukaryotic cells. Among them, some are membrane-bound such as the nucleus, the endoplasmic reticulum, or the Golgi apparatus, each of them with essential biological functions. ...

    Additive structures and randomness in combinatorics 

    Spiegel, Christoph (Date of defense: 2020-07-03)

    Arithmetic Combinatorics, Combinatorial Number Theory, Structural Additive Theory and Additive Number Theory are just some of the terms used to describe the vast field that sits at the intersection of Number Theory and ...

    Arithmetic properties of non-hyperelliptic genus 3 curves 

    Lorenzo García, Elisa (Date of defense: 2014-09-10)

    This thesis explores the explicit computation of twists of curves. We develope an algorithm for computing the twists of a given curve assuming that its automorphism group is known. And in the particular case in which the ...

    Esquemes per a compartir secrets 

    Sáez, Germán (Date of defense: 1998-07-30)

    Aquesta tesi ha estat destacada amb la menció de <br/>PREMI EXTRAORDINARI DE DOCTORAT en l'àmbit de MATEMÀTIQUES<br/>Curs 1997 - 98

    p-adic L-functions, p-adic Gross-Zagier formulas and plectic points 

    Hernández Barrios, Víctor (Date of defense: 2022-04-19)

    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 ...

    Some Digital Signature Schemes with Collective Signers 

    Herranz Sotoca, Javier (Date of defense: 2005-04-15)

    Digital signatures are one of the most important consequences of the appearance of public key cryptography, in 1976. These schemes provide authentication, integrity and non-repudiation to digital communications. <br/>Some ...

    Stark-Heegner points and p-adic L-functions 

    Casazza, Daniele (Date of defense: 2016-10-28)

    Let K|Q be a number field and let Z(K,s) be its associated complex L-function. The analytic class number formula relates special values of Z(K,s) with algebraic invariants of the field K itself. It admits a Galois equivariant ...

    Theta correspondences and arithmetic intersections 

    Gutiérrez Terradillos, Armando (Date of defense: 2023-05-26)

    (English) The thesis is mainly divided into two parts. In essence, the first one is an extension of the paper [Ter22]. Using the regularized Siege-Weil formula of [GQT14] we obtain an explicit expression for the truncated ...

    Una Formalització de les construccions geomètriques 

    Tramuns Figueras, Eulàlia (Date of defense: 2012-07-18)

    Geometric constructions have been studied by mathematicians from ancient Greece until now. Although most attention has been given by the ruler and compass, during the last decades interest in this subject has revived, and ...