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 ...
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 ...
Diego, Víctor (Date of defense: 2017-11-24)
In this work we present the study we did in Graph Theory. In the firsts chapteres of the tesis we study the pieces of information that can be obtained from a graph: the spectrum of the adjacency matrix, ...
Gaset Rifà, Jordi (Date of defense: 2018-07-25)
The theories of gravity are one of the most important topics in theoretical physics and mathematical physics nowadays. The classical formulation of gravity uses the Hilbert-Einstein Lagrangian, which ...
Rivas Guijarro, Xavier (Date of defense: 2021-12-17)
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 ...
Jiménez Ramos, Albert (Date of defense: 2023-06-28)
(English) To simulate unsteady phenomena on complex moving geometry, computational scientists and engineers have been interested in unstructured space-time discretizations. These space-time discretizations ...
Aparicio Estrems, Guillermo (Date of defense: 2023-04-26)
(English) To enhance the simulation accuracy when the solution presents sharp curved features, the community of high-order methods has started to curve not only the boundary but also the interior of ...