Multiuniversitary Graduate Program on "Mathematics and Statistics"
Presentation
The graduate Program "Mathematics and Statistics" is a combined program that brings together the partner universitites of La Laguna, Oviedo, País Vasco, Pública de Navarra and Zaragoza. This cooperation offers graduate students a number of advantages:
 a wider offer of reseach lines and researchers,
 an easier access to exchange programs,
 a braoder offer of scholarships and research contracts associated with research teams,
 an easier access to training activities and courses.
Partner Universities
 Universidad de La Laguna
 Universidad de Oviedo
 Universidad del Pais Vasco / Euskal Herriko Univertsitate
 Universidad Pública de Navarra
 Universidad de Zaragoza (coordinating institution)
Administrative Coordination
Coordinator
José Ignacio Cogolludo (jicogo[at]unizar[dot]es)
Academic Commitee
The Academic Commitee of the program on Mathematics and statistics is responsible for designing, organizing and coordinating the PhD program. It consists of two representatives from each participating university.
 Tomás Alcalá (UZ)
 José Ignacio Cogolludo (UZ) coordinador
 Ignacio Fernández Rúa (UO)
 Javier Gutierrez (UPV/EHU)
 David Iglesias (ULL)
 José Luis López (UPNA)
 Lourdes Rodríguez Mesa (ULL)
 Luis J. Rodríguez Muñiz (UO)
 Maria Dolores Ugarte (UPNA)
 Luis Vega (UPV/EHU)
Research lines
 01. Algebra, Algebraic methods in Coding, cryptography and Graph Theory, Didactics of Mathematics
 02. Geomety and Topology
 03. Mathematical Analysis
 04. Differential Equations
 05. Numerical Analysis
 06. Dynamical Systems
 07. Control Theory and Applications
 08. Statictics and operation Research
 09. Scientific computation
Admission
According to the Real decreto 99/2011, de 28 de enero, that rules the official doctorate studies, to access the doctorate program it is mandatory to be in possession of an official Spanish degree (or something equivalent) and a universitary master. Nevertheless, it is also possible to access to the doctorate program those people that fit some of the following situations:
 Being in possession of a Spanish, or another member country of the EEES, official university degree that enables access to master studies in accordance with the provisions of Article 16 of Royal Decree 1393/2007 of 29 October on the organization of official university studies, and having completed a minimum of 300 ECTS in all the official university studies, of which at least 60 must correspond to master courses.
 Being in possession of an official Spanish graduate degree, whose duration, according to the rules of Community law, is at least 300 ECTS. These graduates are required to take mandatory training supplements, unless the coursed degree include research training credits, equivalent in value to educational research credits from master studies.
 Being in possession of a degree from foreign educational systems, preflight University that it accredits a level equivalent to that of the Spanish official university master's degree training and empowering the country issuing the qualification for admission to doctoral studies. This admission does not imply, in any case, the recognition of the previous title in the possession of the person concerned or his recognition for purposes other than the access to doctoral studies.
 Being in possession of another Spanish title of doctor obtained according to previous laws.
 It may be admitted to doctoral studies, Licensed, Architects and engineers who were in possession of the Diploma of Advanced Studies obtained in accordance with the provisions of Royal Decree 778/98 of 30 April or had reached sufficient research regulated by RD 185/1985, of 23 January.
Some studies that allow the access to this doctorate follow:
 Licenciatura en Matemáticas
 Licenciatura en Física
 Ingenierías
 Licenciatura en Informática
 Licenciatura en Estadística
 Máster interuniversitario de Iniciación a la Investigación en Matemáticas
 Máster interuniversitario en Modelización Matemática, Estadística y Computación
 Máster interuniversitario en Modelización e Investigación Matemática, Estadística y Computación.
It may also be admitted to the doctoral program students who have completed master's degrees in other fields related to mathematics in the UZ, UO, UPV, ULL, UPNa or other universities. This admission may be accompanied by appropriate additional training, as appropriate, which will consist of between 12 and 30 credits of the offered master, fixed by the academic committee. For additional information about administrative processes related to the Doctorate in the Universidad de Zaragoza click here.
Enrollment takes place at each of the participating universities. Specific updated information on the number of places offered, periods and enrollment procedures can be found on the web pages of each participating university:
Human resources
Professors  Research team 
Akhmatskaya, Elena  Scientific Computing 
Alonso Velázquez, Pedro  Numerical Analysis 
Arostegui Madariaga, Inmaculada  Statistics and Operations Research 
Artal Bartolo, Enrique  Geometry and Topology 
Asín Lafuente, Jesús  Statistics and Operations Research 
Barrio Gil, Roberto  Dynamical Systems 
Bermejo Díaz, Isabel  Algebra, Algebraic Methods in Coding, Criptography 
and Graph theory, Didactics of Mathematics  
Bermúdez de León, Teresa  Algebra, Algebraic Methods in Coding, Criptography 
and Graph theory, Didactics of Mathematics  
Bru, Jean Bernard  Scientific Computing 
Bruno Castañeda, Alicia  Algebra, Algebraic Methods in Coding, Criptography 
and Graph theory, Didactics of Mathematics  
Camacho Machín, Matías  Algebra, Algebraic Methods in Coding, Criptography 
and Graph theory, Didactics of Mathematics  
Campión Arrastia, Mª Jesús  Statistics and Operations Research 
Carleos Artime, Carlos  Statistics and Operations Research 
Carnicer Álvarez, Jesús  Numerical Analysis 
Casals, Montserrat  Algebra, Algebraic Methods in Coding, Criptography 
and Graph theory, Didactics of Mathematics  
Cebrián Guajardo, Ana Carmen  Statistics and Operations Research 
Cogolludo Agustín, José I.  Geometry and Topology 
Corral Blanco, Norberto  Statistics and Operations Research 
Cuesta, Carlota  Mathematical Analysis 
Delgado García, Jorge  Numerical Analysis 
Díaz Mendoza, Carlos  Numerical Analysis 
Díaz Rodríguez, Susana Irene  Statistics and Operations Research 
Díaz Vázquez, Susana  Statistics and Operations Research 
Elduque Palomo, Alberto  Algebra, Algebraic Methods in Coding, Criptography 
and Graph theory, Didactics of Mathematics  
Elipe Sánchez, Antonio  Dynamical Systems 
Escobedo, Miguel  Differential Equations 
Escribano Salazar, Bruno  Numerical Analysis 
Fernández Alcober, Gustavo  Algebra, Algebraic Methods in Coding, Criptography 
and Graph theory, Didactics of Mathematics  
Faulín Fajardo, F. Javier  Statistics and Operations Research 
Fernández Combarro, Elías  Algebra, Algebraic Methods in Coding, Criptography 
and Graph theory, Didactics of Mathematics  
Fernández de Bobadilla, Javier  Geometry and Topology 
Fernández Martínez, Juan Luis  Scientific Computing 
Fernández Rúa, Ignacio  Algebra, Algebraic Methods in Coding, Criptography 
and Graph theory, Didactics of Mathematics  
Floría Gimeno, Luis Miguel  Dynamical Systems 
Galé Gimeno, José E.  Mathematical Analysis 
Galiano Casas, Gonzalo  Statistics and Operations Research 
Garay Bengoechea, Oscar  Geometry and Topology 
García Alonso, Israel  Algebra, Algebraic Methods in Coding, Criptography 
and Graph theory, Didactics of Mathematics  
García Marco, Ignacio  Algebra, Algebraic Methods in Coding, Criptography 
and Graph theory, Didactics of Mathematics  
García Melián, Jorge  Differential Equations 
Gaspar Lorenz, Francisco José  Differential Equations 
GerardoGiorda, Luca  Dynamical Systems 
Gil Álvarez, María Angeles  Algebra, Algebraic Methods in Coding, Criptography 
and Graph theory, Didactics of Mathematics  
Goicoa Mangado, Tomás  Statistics and Operations Research 
González Dávila, Enrique  Statistics and Operations Research 
González Dávila, José C.  Geometry and Topology 
González Jiménez, Santos  Algebra, Algebraic Methods in Coding, Criptography 
and Graph theory, Didactics of Mathematics  
González Sánchez, Jon  Algebra, Algebraic Methods in Coding, Criptography 
and Graph theory, Didactics of Mathematics  
de la Hoz Méndez, Francisco  Mathematical Analysis 
Ibáñez Mesa, Santiago  Dynamical Systems 
Iglesias Ponte, David  Geometry and Topology 
Induráin Eraso, Esteban  Mathematical Analysis 
Kazachkov, Ilya  Algebra, Algebraic Methods in Coding, Criptography 
and Graph theory, Didactics of Mathematics  
Lee, Daejin  Statistics and Operations Research 
López Díaz, Conchita  Algebra, Algebraic Methods in Coding, Criptography 
and Graph theory, Didactics of Mathematics  
López Díaz, Miguel  Statistics and Operations Research 
López de Silanes Busto, Mª Cruz  Numerical Analysis 
López García, José Luis  Numerical Analysis 
Lozano Alonso, José Antonio  Scientific Computing 
Mainar Maza, Esmeralda  Numerical Analysis 
Marrero González, Juan Carlos  Geometry and Topology 
Martínez Fernández, Luis  Algebra, Algebraic Methods in Coding, Criptography 
and Graph theory, Didactics of Mathematics  
Martínez López, Consuelo  Algebra, Algebraic Methods in Coding, Criptography 
and Graph theory, Didactics of Mathematics  
Martínez Pérez, Concepción M.  Algebra, Algebraic Methods in Coding, Criptography 
and Graph theory, Didactics of Mathematics  
Merino Maestre, María  Scientific Computing 
Miana Sanz, Pedro J.  Mathematical Analysis 
Montenegro Hermida, Manuel  Algebra, Algebraic Methods in Coding, Criptography 
and Graph theory, Didactics of Mathematics  
Mourgoglou, Mihalis  Mathematical Analysis 
Montes Rodríguez, Susana  Statistics and Operations Research 
Muñiz Rodríguez, Laura  Algebra, Algebraic Methods in Coding, Criptography 
and Graph theory, Didactics of Mathematics  
Muñoz Escolano, José María  Algebra, Algebraic Methods in Coding, Criptography 
and Graph theory, Didactics of Mathematics  
Muto, Virginia  Algebra, Algebraic Methods in Coding, Criptography 
and Graph theory, Didactics of Mathematics  
Padrón Fernández, Edith  Mathematical Analysis 
Pagnini, Gianni  Dynamical Systems 
Palacián, Jesús  Dynamical Systems 
Pardo Zubiaur, David  Numerical Analysis 
Parissis, Ioannis  Differential Equations 
Peña Ferrández, Juan Manuel  Numerical Analysis 
Perdomo Díaz, Josefa  Algebra, Algebraic Methods in Coding, Criptography 
and Graph theory, Didactics of Mathematics  
Pérez Moreno, Carlos  Mathematical Analysis 
Piñera Nicolás, Alejandro  Algebra, Algebraic Methods in Coding, Criptography 
and Graph theory, Didactics of Mathematics  
Remaki, Lakhdar  Scientific Computing 
Rodrigo Cardiel, Carmen  Differential Equations 
Rodríguez, Maria Xosé  Statistics and Operations Research 
Rodríguez Méndez, José Angel  Dynamical Systems 
Rodríguez Muñiz, Luis José  Algebra, Algebraic Methods in Coding, Criptography 
and Graph theory, Didactics of Mathematics  
Rodriguez Wilhelmi, Miguel  Algebra, Algebraic Methods in Coding, Criptography 
and Graph theory, Didactics of Mathematics  
Salazar González, Juan José  Statistics and Operations Research 
Sangüesa Lafuente, Carmen J.  Statistics and Operations Research 
Sanz Saiz, Gerardo  Statistics and Operations Research 
Sedeño Noda, Antonio  Statistics and Operations Research 
Selgas Buznego, Virginia  Numerical Analysis 
Shmarev, Sergey  Differential Equations 
Sinova Fernández, Beatriz  Statistics and Operations Research 
Suárez Pérez del Río, Jesús  Dynamical Systems 
Terán Agraz, Pedro N.  Statistics and Operations Research 
Tresaco Vidaller, Eva  Dynamical Systems 
Ugarte Martínez, María Dolores  Statistics and Operations Research 
Ugarte Vilumbrales, Luis  Geometry and Topology 
Vega González, Luis  Differential Equations 
Yanguas, Patricia  Dynamical Systems 
Zarnescu, Arghir Dani  Differential Equations 
Zuazua, Enrique  Differential Equations 
Activities
Transversal training
The transversal training activities are those that are useful for all people who are doing a doctorate regardless of their area of knowledge, since they promote training in transversal skills during the training stage of the doctorate.
These are published on the web pages of the different Doctoral Schools:
 Transversal training at ULL
 Transversal training at UO
 Transversal training at UPNa
 Transversal training at UPV/EHU
 Transversal training at UZ
Specific training
Description: Mobility
Duration: 320 hours.
Control procedures Registered in the Documento de Actividades del Doctorado.
Description: Research seminars.
Duration: 15 hours.
Control procedures This activity will be evaluated by means of the presentation of summaries of the seminars the student has attended. In addition, each student will give at least a talk at some of the seminars. Registered in the Documento de Actividades del Doctorado.
Description: Seminars
Duration: 6 hours.
Control procedures This activity will be evaluated by means of the presentation of summaries of the seminars the student has attended. Registered in the Documento de Actividades del Doctorado.
Description: Workshops
Duration: 30 hours
Control procedures The ones stablished at the activity. Registered in the Documento de Actividades del Doctorado.
Quality
This program uses several mechanisms to ensure quality:
 Dynamic control and fully customized and updated situation of Phd. students; constant and continuous treatment with them.
 Regular meetings (twice a year) with the Chairman of the departments that take part of the program and an annual meeting ot the students with all teachers to discuss the progress in the PhD program.
 Encuestas to obtain feedback from students:Objective criteria for the admissibility of a doctoral thesis
 The first one is done to the students of the Máster en Modelización Matemática, Estadística y Computación to inform us about their tastes, preferences in order to approach them to the adequate teacher and research line, according to their preferences and qualities.
 The second one is held annually to students with active Doctorate to collect their opinion in order to modify, or not, some aspects of the process of the realization of the thesis.
 The third and final survey, is done to students who have just completed their doctoral thesis in order to define and implement improvement actions throughout the process they have followed.
 There are information leaflets that are distributed throughout the Faculty and provide general program information.
 The annual evaluation reports prepared by the Program can be found here.
 Any doubt, complaint, or suggestion can be sent either directly to the program coordinator at each university or through the following form. Your comments are very important to us.
Contact
In order to get information about the administrative processes related to the Interuniversitary Doctorate Program in Mathematics and Statistics, contact any of the doctorate offices of the participant universities.
At the Universidad de Zaragoza (coordinator):
 Address: Edificio Interfacultades. Pedro Cerbuna 12  50009 Zaragoza (Spain)
 Telephon: +34 876 553 040
 Email: docto@unizar.es
In order to get information about the academic aspects of the Interuniversitary Doctorate Program in Mathematics and Statistics, contact any of the coordinators of the participant universities:

Para obtener información sobre los aspectos académicos del programa de doctorado puede contactarse con cualquiera de los coordinadores de cada universidad participante:
 José Ignacio Cogolludo Agustín (Universidad de Zaragoza, UZ), Coordinador del Programa, Email: jicogo[at]unizar[dot]es
 Javier Gutierrez García (Universidad del País Vasco, UPV/EHU), Email: javier[dot]gutierrezgarcia[at]ehu[dot]eus
 Lourdes Rodríguez Mesa (Universidad de La laguna, ULL), Email: lrguez[at]ull[dot]es
 Ignacio Fernández Rúa (Universidad de Oviedo, UO), Email: rua[at]uniovi[dot]es
 Dolores Ugarte Martínez (Universidad Pública de Navarra, UPNA), Email: lola[at]unavarra[dot]es