PhD Thesis

Recent PhD Thesis

List of recent PhD Thesis supervised by members of the Network:

 

 

2026

Author: Ignacio Breva Ribes
Title: Augmentation of singularities, quasi-homogeneity and good real images of map-germs.
Date: 2026
Node: Universidad de Valencia
Advisor: Raúl Adrián Oset Sinha

 

Author:Pilar Coscojuela Escanilla
Title: Security Analysis of the Family of DME Schemes.
Date: 2026
Node: Universidad Complutense de Madrid
Advisors: Martin Avendaño y Ignacio Luengo..

 

Author: Laura González Hernández
Title: On families of prime ideals with an unbounded minimal number
of generators in a three-dimensional power series ring
Date: 2026
Node: Universitat Politècnica de Catalunya.
Advisor: Francesc Planas Vilanova.

 

Author: Pablo Hernández García
Title: Aplicaciones de la Teoría de Haces a la Ciencia de Redes y al Análisis Topológico
de Datos.
Date: 2026
Node: Universidad de Salamanca.
Advisor: Daniel Hernández Serrano y Darío Sánchez Gómez.

 

Author: Eduardo Loureiro Novo
Title: Dualidad, álgebras diferenciales graduadas y soportes.
Date: 2026
Node: Universidad de Salamanca.
Advisor: Leovigildo Alonso Tarrío y Ana Jeremías López.

 

Author: Christian Muñoz Cabello
Title: Singularidades de aplicaciones de gérmenes frontales
Date: 2026
Node: Universidad de Valencia
Advisor: Juan José Nuño Ballesteros, Raúl Adrián Oset Sinha

 

Author: Abraham del Valle Rodríguez
Title: On the Logarithmic Comparison Theorem and strong Euler-homogeneity for complex hypersurfaces
Date: 2026
Node: Universidad de Sevilla
Advisor: Alberto Castaño Domínguez, Luis Narváez Macarro

 

 

2025

Author: Diego Alba Alonso
Title: Relaciones de órdenes parciales de endomorfismos en espacios vectoriales de
dimensión infinita.
Date: 2025
Node: Universidad de Salamanca.
Advisor: Fernando Pablos Romo.

 

Author: Ernesto Álvarez González.
Title: Algunas aplicaciones del álgebra computacional a la filogenética
Date: 2025
Node:Universidad Complutense de Madrid
Advisors: Mariemi Alonso García.

 

Author: Seyma Bodur
Title: Algebraic coding theory for private information retrieval.
Date: 2025
Node: Universidad de Valladolid
Advisors: Diego Ruano Benito (SP1), Edgar Martínez Moro.

 

Author: Daniel Camazón Portela
Title: Combinatorial aspects of sequences of blow-ups.
Date: 2025
Node: Universidad de Valladolid
Advisors: Antonio Campillo López, Santiago Encinas Carrión.

 

Author: Mario González Sánchez
Title: Syzygies, regularity, and their interplay with additive combinatorics.
Date: 2025
Node: Universidad de Valladolid
Advisors: Philippe Thierry Gimenez Martin e Ignacio García Marco

 

Author: Maria Isabel de Magalhães Colaço
Title: Generalized repunit numerical semigroups
Date: 2025
Node: Universidad de Valladolid
Advisors: Manuel B. Branco e Ignacio Ojeda.

 

Author: Manousos Manouras
Title: Twisted Alexander polynomials of plane algebraic curves
Date: 2025
Node: Universidad de Zaragoza
Advisor: José Ignacio Cogolludo, Vincent Florens

 

Author: Álvaro Samperio Valdivieso
Title: Some inverse problems on finite networks.
Date: 2025
Node: Universidad de Valladolid
Advisors: Andres Marcos Encinas Bachiller, Antonio Campillo Lopez.

 

Author: Mohammed Kamel
Title: Riemann surfaces, bielliptic quotient modular curves and Hecke groups
Date: 2025
Node: Universitat Autònoma de Barcelona
Advisor: Francesc Bars

 

Autor: Eloi Torrents Juste
Title: Fundamental domains for quadratic S-arithmetic groups
Date: 2025
Node: Universitat Autònoma de Barcelona
Advisor:Marc Masdeu

 

 

2024

Author:Luis Ángel Calderón Pérez
Title: Curvas invariantes y ciclos límite en ecuaciones de Abel
Date: 2024
Node: Universidad de Valladolid
Advisors: José Luis Bravo, Ignacio Ojeda

 

Author: Helena Martín Cruz
Title: Quantum codes and locally recoverable codes from evaluation
codes.
Date: 2024.
Node: Universidad Jaume I
Advisors: Carlos Galindo y Fernando Hernando.

 

Author: Ulises Pastor-Díaz
Title: On the generalised phase kick-back and its applications
Date: 2024
Node: Universidad de Sevilla
Advisor: José María Tornero Sánchez.

 

Author:Rodrigo San José Rubio
Title: Commutative Algebra and Coding Theory, with Applications
to Quantum Error-Correction
Date: 2024
Node: Universidad de Valladolid
Advisors: Diego Ruano Benito, Philippe Gimenez Martin.

 

Author: Juan Francisco Torres Sancho
Title: Espacios finitos y geometría algebraica.
Date: 2024
Node: Universidad de Salamanca.
Advisor: Fernando Sancho de Salas.

 

 

2023

Author: Adrien Rodau
Title:Peripheral structures and topological invariants of knotted submanifolds
Date: 2023
Node: Universidad de Zaragoza
Advisor: Enrique Artal Bartolo, Vincent Florens

 

Author: Franco Coltraro
Title: An inextensible cloth model for robotic manipulation
Date: 2023
Node: Universitat Politècnica de Catalunya.
Advisor: M. Alberich Carramiñana and J. Amorós Torrent

 

Author: Elvira Pérez Callejo
Title: Algebraic integrability of foliations by extension to Hirzebruch surfaces. Applications to bounded negativity.
Date: 2023
Node: Universidad Jaume I
Advisors: Carlos Galindo y Francisco Monserrat.

 

 

2022

Author: Patricio Almirón Cuadros
Title: Analytic invariants of isolated hypersurface singularities and combinatorial invariants of numerical semigroups.
Date: 2022
Node: Universidad Complutense de Madrid
Advisors: Maria Alberich Carramiñana y Alejandro Melle Hernandez

 

Author: Javier Sánchez González
Title:  Grupo fundamental étale de espacios esquemáticos.
Date: 2022
Node: Universidad de Salamanca.
Advisor: Carlos Tejero Prieto.

 

 

2021

Author: Liena Colarte Gómez
Title: Groebner’s problem and the geometry of GT-varieties.
Date: 2021
Node: Universidad de Barcelona
Advisor: Rosa Maria Miró Roig.

 

Author: Marina Garrote López
Title: Algebraic and semi-algebraic phylogenetic reconstruction.
Date: 2021
Node: Universidad Politénica de Cataluña.
Advisor: Marta Casanellas Rius y Jesús Fernández Sánchez.

 

Author: Roberto Giménez Conejero
Title: Singularities of germs and vanishing homology.
Date: 2021
Node: Universidad de Valencia
Advisor: Juan José Nuño Ballesteros.

 

Author: Jesús Martín Ovejero
Title: Móduli de fibrados principales y teoría algebraica de solitones.
Date: 2021
Node: Universidad de Salamanca.
Advisor: Francisco José Plaza Martín y Ángel Luis Muñoz Castañeda.

 

Author: Carlos Jesús Moreno Ávila
Title: Global geometry of surfaces defined by non-positive
and negative at infinity valuations.
Date: 2021
Node: Universidad Jaume I
Advisors: Carlos Galindo Pastor y Francisco José Monserrat Delpalillo.

 

Author: Irma Pallarés Torres
Title: Some contributions to the theory of singularities and their characteristic classes.
Date: 2021
Node: Basque Center of Applied Mathematics
Advisor: Javier José Fernández de Bobadilla de Olazabal y Juan José Nuño Ballesteros.

 

Author: Jordi Roca Lacostena
Title: The embedding problem for Markov matrices.
Date: 2021
Node: Universidad Politénica de Cataluña.
Advisors: Marta Casanellas Rius y Jesús Fernández Sánchez.

 

 

2020

Author: Guillem Blanco Fernández
Title: Bernstein-Sato polynomial of plane curves and Yano’s conjecture.
Date: 2020
Node: Universidad Politénica de Cataluña.
Advisor: Maria Alberich-Carramiñana y Josep Àlvarez-Montaner.

 

Author: Laura Brustenga Moncusí
Title: Parametrising clusters of sections.
Date: 2020
Node: Universidad Autónoma de Barcelona.
Advisor: Joaquim Ro&eacute.

 

 

2019

Author: Miguel Robredo Bruces
Title: Invariants of singularities, generating sequences and toroidal structures.
Date: 2019

Node: Universidad Complutense de Madrid
Advisor: Pedro Daniel González Pérez.

 

Author: Yairon Cid Ruiz
Title: Blow-up algebras in Algebra, Geometry and Combinatorics.
Date: 2019
Node: Universidad de Barcelona
Advisor: Carlos D’Andrea.

 

Author: Leire Gorrochategui Gregorio
Title: On some conjectures in singularity theory.
Date: 2019
Node: Universidad Complutense de Madrid
Advisor: Alejandro Melle Hernández.

 

Author: Sonja Lea Heinze
Title: Moderately discontinuous algebraic topology for metric subanalytic germs.
Date: 2019
Node: Basque Center of Applied Mathematics
Advisor: Javier Fernández de Bobadilla de Olazabal y María Pe Pereira.

 

Author: Roser Homs Pons
Title: Gorenstein colength of local Artin k-algebras.
Date: 2019
Node: Universidad de Barcelona
Advisor: Joan Elias Garcia.

 

Author: Joaquín Ossorio Castillo
Title: Quantum algorithms for the combinatorial invariants of numerical semigroups.
Date: 2019
Node: Universidad de Sevilla
Advisor: José María Tornero Sánchez.

 

Author: Pablo Simón Isaza Peñaloza
Title: CW-decompositions of plane algebraic and Milnor fibers of non-isolated quasi-ordinary singularities.
Date: 2019
Node: Universidad Complutense de Madrid
Advisor: Pedro Daniel González Pérez, Enrique Manuel Artal Bartolo y Jorge Carmona Ruber.

 

Author: Eduardo Soto Ballesteros
Title: New results on modular forms and Fermat-type equations.
Date: 2019
Node: Universidad de Barcelona
Advisor: Luis Dieulefait y Rosa Maria Miró-Roig.

 

Author: María de la Paz Tirado Hernández
Title: Leaps of the chain of m-integrable derivations in the sense of Hasse-Schmidt.
Date: 2019
Node: Universidad de Sevilla
Advisor: Luis Narváez Macarro.

 

 

2018

Author: Marta Agustín Vicente
Title: Intersection cohomology with torus actions of complexity one and intersection space complexes.
Date: 2018
Node: Universidad Autónoma de Madrid
Advisor: Javier Fernández de Bobadilla
y Enrique J. Elizondo Universidad Autónoma de Madrid

 

Author: Eva García Llorente
Title: Estudio y cálculo de la regularidad de Castelnuovo-Mumford y otros invariantes de álgebras graduadas de dimensión dos.
Date: 2018
Node: Universidad de la Laguna
Advisors: Isabel Bermejo and Ignacio García.

 

Author: José Ángel González Prieto
Title: Topological quantum field theories for character varieties.
Date: 2018
Node: Universidad Complutense de Madrid
Advisor: Marina Lucia Logares Jiménez y Vicente Muñoz Velázquez.

 

Author: Jorge Linde Díaz
Title: Métodos algebraicos en criptografía multivariable.
Date: 2018
Node: Universidad Complutense de Madrid
Advisor: Ignacio Luengo Velasco

 

Author: Jesús Pablo Moreno González
Title: Automorfismos de una variedad tárica.
Date: 2018
Node: Universidad de Salamanca
Advisor: María Teresa Sancho de Salas y Carlos Sancho de Salas.

 

Author: Beatriz Pascual Escudero
Title: Algorithmic resolution of singularities and Nash multiplicity sequences.
Date: 2018
Node: Universidad Autónoma de Madrid
Advisor: Ana Bravo y Santiago Encinas. Universidad Autónoma de Madrid

 

Author: Pablo Portilla Cuadrado
Title: Momodromies as tête-à-tête graphs.
Date: 2018
Node: Universidad Complutense de Madrid
Advisors: Javier Fernández de Bobadilla y María Pe Pereira

 

 

2017

Author: Carlos Abad Reigadas
Title: Multiplicity along embedded schemes and differential operators.
Date: February 24, 2017
Node: Universidad Autonoma de Madrid
Advisor: Orlando Villmayor Uriburu.

 

Author: Iago Giné Vázquez
Title: “Triangular Bases of Integral Closures”
Date: 2017
Node: Universitat Autònoma de Barcelona
Advisor: Xavier Xarles

 

Author:Eslam Badr
Title: “On the stratification of smooth plane curves by automorphism groups”
Date: 2017<brZ
Node: Universitat Autònoma de Barcelona
Advisor: Francesc Bars

 

 

2016

Author: Ferran Dachs Cadefau
Title: Multiplier ideals in two-dimensional local rings with rational singularities.
Date: June 13, 2016.
Node: Polytechnical University of Catalunya
Advisors: María Alberich Carramiñana, Josep Álvarez Montaner, Willem Veys.

 

Author: Laura Colmenarejo Hernando
Title: Stability in the combinatorics of representation theory
Date: April 29, 2016
Node: Universisy of Sevilla
Advisors: Mercedes Helena Rosas Celis, Emmanuel Briand.

 

Author: Anna Kiesenhofer
Title: Integrable systems on b-symplectic manifolds.

Date: December 21, 2016.
Node: Polytechnical University of Catalunya
Advisor: Eva Miranda Galcerán.

 

Author: Marta Narváez Clauss
Title: Quantitative equidistribution of Galois orbits of points of small height on the algebraic toru.
Date: June 1,2016.
Node: University of Barcelona
Advisors: Carlos D’Andrea, Martin Sombra.

 

Author: Guillermo Peñafort Sanchis
Title: Multiple point spaces of finite holomorphic spaces
Date: January 8, 2016
Node: University of Valencia
Advisors: Juan José Nuño Ballesteros, Washington Luiz Marar.

 

Author: Abdó Roig Maranges
Title: Descent in Lawson honology and morphic cohomology
Date: January 26, 2016
Node: Polytechnical University of Catalunya
Advisor: Pere Pascual Gainza.

 

 

2015

Author: Juan Viu-Sos
Title: Periods and line arrangements: contributions to the Kontsevich-Zagier periods conjecture and to the Terao conjecture
Date: November 30, 2015
Node: University of Zaragoza (and Université de Pau et des Pays de l’Adour)
Advisors: Jacky Cresson, Enrique Artal and Vincent Florens.

 

Author: Javier Martínez
Title: Hodge polynomials of character varieties
Date: June 26, 2015

Node: Complutense University of Madrid
Advisor: Vicente Muñoz

 

Author: Alicia Tocino Sánchez
Title: Cohomological characterization of universal bundales of the Grassmannian of lines
Date: July 22, 2015
Node: Complutense University of Madrid
Advisor: Enrique Arrondo Esteban, Enrique

 

Author: Ana Belén de Felipe Paramio
Title: Topología de espacios de valoraciones y geometría
de las singularidades

Date: 2015
Node: University of Valladolid
Advisor: Evelia García Barroso and Bernard Teissier.

 

Author: María García Monera
Title: r-Critical points and Taylor expansion of the exponential
map for smooth immersions in R k+n.

Date: 2015
Node: University of Valencia (Universidad Politécnica de Valencia)
Advisor: Esther Sanabria Codesal

 

 

2014

Author: Alberto Castaño Domínguez
Title: D-Módulos Algebráicos y Cohomología de Familias de Dwork.
Date: July 15, 2014
Node: University of Sevilla
Advisors: Luis Narváez Macarro y Antonio Rojas León

 

Author: Jonathan Sánchez
Title: Motives of moduli spaces of pairs and applications
Date: June 10, 2014
Node: Complutense University of Madrid
Advisor: Vicente Muñoz

 

Author: Romero Barbieri Solha
Title: On geometric quantisation of integrable systems with singularities.
Date: 2014.
Node: Polytechnical University of Catalunya
Advisor: Eva Miranda Galcerán.

 

Author: Benoit Guerville-Ballé
Title: Topological invariants of line arrangements.
Date: 2014.
Node: University of Zaragoza (and Université de Pau et des Pays de l’Adour)
Advisors: Enrique Artal Bartolo, Vincent Florens and Jean Vallés.

 

 

2013

Author: Rosa María de Frutos Marín
Title: Perspectivas aritméticas para la conjetura de Casas-Alvero.
Date: 2013
Node: University of Valladolid
Advisor: Antonio Campillo López.

 

Author: Irene Márquez Corbella
Title: Combinatorial commutative algebra approach to complete decoding.
Date: 2013
Node: University of Valladolid
Advisor: Antonio Campillo López and Edgar Martínez Moro.

 

Author: Jorge Ortigas-Galindo
Title: Algebraic and Topological Invariants of Curves and Surfaces with Quotient Singularities
Date: April 24, 2013
Node: University of Zaragoza (and Université de Pau et des Pays de l’Adour)
Advisors: José Ignacio Cogolludo-Agustín, Jean Vallès and Vincent Florens.

 

Author: Víctor González Alonso
Title: Hodge numbers of irregular varieties and fibrations.
Date: 2013
Node: Polytechnical University of Catalunya
Advisors: Miguel Angel Barja Yáñez and Joan Carles Naranjo del Val.

 

Author: Isabel Silvana Berna Sepúlveda.
Title: Monodromías geométricas en curvas de género 4.
Date: 2013
Node: Polytechnical University of Catalunya
Advisor: Jaume Amorós Torrent.

 

Author: Giovanni Bazzoni
Title: Teoría de homotopía y estructuras geométricas.
Date: 2013.
Node: Complutense University of Madrid.
Advisor: Vicente Muñoz Velázquez

 

 

2012

Author: Simone Marchesi
Title: Jumping spaces in Steiner bundles
Date: 2012
Node: Complutense University of Madrid
Advisors: Enrique Arrondo Esteban and Antonio Lanteri

 

 

2011

Author: María Pe pereira
Title: On the Nash problem for quotient singularities
Date: May 2011
Node: Complutense University of Madrid
Advisor: Javier Fern´andez de Bobadilla de Olaz´bal

 

Author: J. Pons Llopis
Title: Ulrich bundles and varieties of wild representation type
Date: 2011
Node: University of Barcelona
Advisors: Rosa Miró-Roig and Enrique Arrondo

 

Author: María Eugenia Ellis Raggio
Title: K-Teoría Algebraica Equivariante y Conjeturas de Isomorfismos.
Date: 2011
Node: University of Valladolid.
Advisor: Guillermo Cortiñas.

 

Author: Jorge Martín Morales.
Tilte: Embedded Q-Resolutions and Yomdin-Le Surface Singularities.
Date: 2011
Node: University of Zaragoza
Advisors: Enrique Artal Bartolo y José Ignacio Cogolludo Agustín.