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 ...
Roig Maranges, Abdó (Date of defense: 2016-01-26)
The traditional way to study algebraic cycles on an algebraic variety uses the Chow groups. However, in the beginnings of the 90's, Blaine Lawson and Eric Friedlander developed a different way to study ...
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 ...
Torre Pedraza, Azahara de la (Date of defense: 2016-12-19)
My research is based on non-local elliptic semilinear equations in conformal geometry. The fractional curvature is defined from the conformal fractional Laplacian and it is a non-local version of some ...
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 ...
Mir Garcia, Pau (Date of defense: 2024-01-16)
(English) In this thesis we study several mathematical objects that are essential to formulate and model physical systems. Applying the tools provided by differential geometry, we develop and analyze ...