Cano Vila, María del Pilar (Date of defense: 2020-06-25)
This thesis studies different generalizations of Delaunay triangulations, both from a combinatorial and algorithmic point of view. The Delaunay triangulation of a point set S, denoted DT(S), has vertex ...
Rivero Salgado, Óscar (Date of defense: 2021-02-12)
The main objective of this dissertation is the exploration of certain arithmetic applications of the Euler systems of Beilinson--Flach elements and diagonal cycles. Euler systems have been proved to be ...
Venturini, Chiara (Date of defense: 2022-07-22)
Integrin-based cell adhesion is a key mechanism in fundamental biological processes such as cell migration and wound healing, and in diseases like osteoporosis and cancer. For example, during migration, ...
Barcelona Cabeza, Rosa (Date of defense: 2021-10-19)
Substantial technological advancements in next generation sequencing (NGS) have revolutionized the genomic field. Over the last years, the speed and throughput of NGS technologies have increased while ...
Deutschmann, Ina Maria (Date of defense: 2021-11-29)
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 ...
Gatti, Francesca (Date of defense: 2021-03-19)
Let E be an elliptic curve defined over the field of rational numbers and let f be the corresponding newform of weight 2. Let g,h be two weight one newforms whose nebentype characters are mutually ...
Wötzel, Maximilian (Date of defense: 2022-01-26)
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 ...
Muixí Ballonga, Alba (Date of defense: 2020-11-30)
This thesis proposes a new computational model for the efficient simulation of crack propagation, through the combination of a phase-field model in small subdomains around crack tips and a discontinuous ...
Córdoba Pañella, Paula (Date of defense: 2022-04-22)
This thesis aims at improving the convergence of iterative solvers, used for algebraic systems coming from the discretization of partial differential equations (PDE), in the context of large scale ...
Blanco Fernández, Guillem (Date of defense: 2020-04-16)
The main aim of this thesis is the study of the Bernstein-Sato polynomial of plane curve singularities. In this context, we prove a conjecture posed by Yano about the generic b-exponents of a plane ...