Departament de Matemàtiques

La Universitat Politècnica de Catalunya. Barcelona Tech (UPC) és una institució pública de recerca i d'educació superior en els àmbits de l'enginyeria, l'arquitectura i les ciències.

L’activitat dels seus campus i centres fan de la UPC un punt de referència i, en complicitat amb el teixit productiu, són agent i motor de canvi econòmic i social, en posar en valor la recerca bàsica i aplicada i transferir tecnologia i coneixement a la societat.

Els investigadors i investigadores de la UPC treballen des dels laboratoris i centres de recerca per augmentar la producció científica, valoritzar-la socialment a través de la transferència de resultats i continuar liderant projectes internacionals d’excel·lència, ja sigui a partir d’iniciatives pròpies o en col·laboració amb altres centres de recerca i universitats d’arreu del món.


Portal de la producció científica dels investigadors de la UPC.


Portal d'accés obert al coneixement de la UPC

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Recent Submissions

The embedding problem for Markov matrices 

Roca Lacostena, Jordi (Date of defense: 2021-05-18)

The goal of this thesis is to solve the embedding problem for Markov matrices, posed by Gustav Elfving in1937. A Markov matrix is non-negative square matrix whose rows sum to 1. We say that such a matrix M is embeddable ...

Completion and decomposition of hypergraphs by domination hypergraphs 

Ruiz Muñoz, José Luis (Date of defense: 2017-07-18)

A graph consists of a finite non-empty set of vertices and a set of unordered pairs of vertices, called edges. A dominating set of a graph is a set of vertices D such that every vertex not in D is adjacent to some vertex ...

On the fractional Yamabe problem with isolated singularities and related issues 

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 of the classical local ...

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 ...

Multiplier ideals in two-dimensional local rings with rational singularities 

Dachs Cadefau, Ferran (Date of defense: 2016-06-13)

The aim of this memoir is to study multiplier ideals in two-dimensional local rings having at worst rational singularities. We also want to extend this study to the case of mixed multiplier ideals. The main achievements ...

Descent in Lawson homology and morphic cohomology 

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 algebraic cycles on ...

Design and validation of structural health monitoring system based on bio-inspired algorithms 

Anaya Vejar, Maribel (Date of defense: 2016-07-15)

The need of ensure the proper performance of the structures in service has made of structural health monitoring (SHM) a priority research area. Researchers all around the world have focused efforts on the development of ...

The variational approach to brittle fracture in materials with anisotropic surface energy and in thin sheets 

Li, Bin (Date of defense: 2016-03-08)

Fracture mechanics of brittle materials has focused on bulk materials with isotropic surface energy. In this situation different physical principles for crack path selection are very similar or even equivalent. The situation ...

Rheological models for tissue relaxation and fluidisation 

Asadipour, Nina (Date of defense: 2016-03-04)

We present a cell-centred model for the simulation of multicellular soft tissues that takes into account the underlying active process at the cytoskeletal level, and allows for active and passive cell-cell reorganisation ...

Ecuaciones en diferencias lineales de segundo orden y su aplicación al análisis matricial 

Jiménez Jiménez, Ma. José (María José) (Date of defense: 2016-02-04)

It is well known the important role that difference equations play in several problems of the engineering or of the science. However, whereas the expression of the solutions when the coefficients of the equations are ...

Estudi de l'evolució i el tractament del càncer des d'una perspectiva de la biologia de sistemes 

Serra Musach, Jordi (Date of defense: 2016-01-29)

Cancer can be defined as a family of complex disease characterized by a cellular hyperproliferation and the capacity of the cell to invade surrounding tissue and metastasize to other organs in the body. The development and ...

Aportaciones al estudio de los sistemas electorales 

Sales i Inglès,Vicenç (Date of defense: 2016-01-28)

An important question that modern societies have to decide is the election of some people who represent them and can also make some decisions. Mechanisms to do it are called Electoral Systems. In fact, there are a lot of ...