Planas Bahí, Arnau (Date of defense: 2020-09-30)
This thesis explores classification and perturbation problems for group actions on a class of Poisson manifolds called $b^m$-Poisson manifolds. $b^m$-Poisson manifolds are manifolds which are symplectic ...
Oms, Cédric (Date of defense: 2020-10-02)
In this thesis, we study the Reeb and Hamiltonian dynamics on singular symplectic and contact manifolds. Those structures are motivated by singularities coming from classical mechanics and fluid ...
Miraglio, Pietro (Date of defense: 2020-01-28)
My thesis deals with the study of elliptic PDE. It is divided into two parts, the first one concerning a nonlinear equation involving the p-Laplacian, and the second one focused on a nonlocal problem. In ...
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 ...
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 ...
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 ...
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 ...
Roy, Mallika (Date of defense: 2020-02-12)
This work is based on the family of groups Z^m x F_n, namely free-abelian times free groups, direct products of finitely many copies of Z and a finitely generated free group F_n. These are a special ...
Martínez Barona, Berenice (Date of defense: 2020-09-14)
The main subject of this PhD thesis is the study of (1,=l)-identifying codes in digraphs. The results presented in this work are divided into three parts. The first one focusses on the structural ...