Doctoral Program in Mathematics ans Statistics 2020–2021




Introduction

The Graduate Program in Mathematics and Statistics is a multiuniversity program combined by the following partner universities:

Further information about the program can be found in the Graduate Program's official web page.


Contact


Basic Skills

The students of the program acquire the basic competences indicated in article 5 of Royal Decree 99/2011 on doctorate. They are the following:

  1. Systematic understanding of their field of study and mastery of research skills and methods related to that field.
  2. Ability to conceive, design or create, implement and adopt a substantial process of research or creation.
  3. Ability to contribute to the expansion of the frontiers of knowledge through original research.
  4. Ability to perform a critical analysis and evaluation and synthesis of new and complex ideas.
  5. Ability to communicate with the academic and scientific community and with society in general about their fields of knowledge in the modes and languages commonly used in their international scientific community.
  6. Ability to promote, in academic and professional contexts, scientific, technological, social, artistic or cultural advancement within a society based on knowledge.

Personal Abilities and Skills

The RD 99/2011 highlights the high professional training of doctors in various fields, especially those that require creativity and innovation. Therefore, the doctors of the program will have acquired, at least, personal skills and abilities to:

  1. Develop in contexts in which there is little specific information.
  2. Find the key questions that must be answered to solve a complex problem.
  3. Design, create, develop and undertake innovative and innovative projects in their field of knowledge.
  4. Work both as a team and independently in an international or multidisciplinary context.
  5. Integrate knowledge, face complexity and formulate judgements with limited information.
  6. The criticism and intellectual defence of solutions.

General Information

The requirements for access to doctorate studies are set in RD 99/2011 and can be consulted in the corresponding Instruction of the Doctorate School (pdf). In general, an official Spanish Bachelor's and Master's degrees or equivalent are required, with a minimum global extension of 300 ECTS credits.

Candidates with university degrees issued by a country of the European Higher Education Area (EHEA) may request admission directly (info). If the degree is issued by a country outside the EHEA, the application for access with a non-homologated foreign degree must be submitted (info).

Those interested can expand their information in the administrative section of the Doctoral School (web) or the administration of the program (see contact data in the program general information section).


Program Specific Information

Oferta de plazas: 5


Program specifi information can be found here.


Specific Training Activities


Enrolment Dates, Deadlines and Procedure

Doctoral students, as researchers in training and students of the University of Zaragoza, have to formalize every year the enrollment with the corresponding rights to the academic tutorship while continuing their doctoral training. The enrollment period will be set  in the academiccalendar approved each year by the Doctoral School. 

As a general rule, enrollment will be done online through the Secretaría Virtual ofthe University of Zaragoza. Previously a personal identification number (NIP) and password will have been obtained in the identity management service. Face-to-face registration will be allowed to those who cannot do it online, by going to the doctoral school during public service hours. PhD students must submit every year in which they enroll, documentation about their previous studies, depending on whether they have been taken in countries of the European Education Area or outside that space.

Full and up-to-date information on the enrollment procedure, including key points, is provided on the website of the Doctoral School, as well as prices, discounts and insurance, legalization and translation of documents and some others practical details.


Thesis Supervision

The procedures for the supervision of doctoral students are set in article 11 of Royal Decree 99/2011, which regulates doctoral studies and the rules about Thesis (Reglamento sobre Tesis Doctorales de la Universidad de Zaragoza)The doctoral student admitted to the program has to enrol each academic year in academic tutelage at the University of Zaragoza. The Academic Committee of the program will assign a Thesis Director and a tutor, who may or may not be the same. The Thesis Director will be the person in charge of the overall management of the doctoral student's research tasks, of the coherence and adequacy of the training activities, of the impact and novelty in his/her field of the subject of the doctoral thesis and of the guide in other projects and activities where the doctoral student is involved. The tutor is responsible for the adaptation of the training and the research activity to the principles of the program and the Doctoral School and will ensure the interaction of the doctoral student with the Academic Committee of the program, the body responsible for supervising the progress of the research and training and the authorization of the thesis presentation of each doctoral student of the program.

The supervisory functions of the doctoral students will be documented in the Doctorate Letter which, once the registration is made, will be signed by the doctoral student, its tutor and its director, the program coordinator and the director of the Doctoral School. Those interested can expand the information on the thesis supervision in the administrative headquarters of the program (see contact information in the general information of the program) or by consulting the program coordinator.


Student's Follow-up and Evaluation

The follow-up of the training process leading to the presentation of the doctoral thesis is carried out through the research plan and the doctoral student's document of activities. The research plan is presented before the end of the first year of enrolment and includes, at least, the methodology to be used and the objectives to be achieved, as well as the means and the temporal planning to achieve it. The plan may be improved and detailed later and must be endorsed by the Director and the tutor. The document of activities is the register of all the activities -research stays, courses, attendance to congresses, or others- that the doctorate carries out from his enrolment until the presentation of the doctoral thesis. Annually, the Academic Committee of the program will evaluate the follow-up of the research plan together with the document of activities. The positive evaluation will be an essential requirement to continue in the program. In the case of a negative evaluation, the doctoral student must be evaluated again within a maximum period of six months. Those interested can expand this information in the administrative headquarters of the program (see contact information in the general information of the program) or by consulting the program coordinator.

Once the thesis is concluded, the doctoral student must proceed to deposit and defend it according to the dispositions included in the thesis regulation of the University of Zaragoza and its procedure (info).


Transversal Training Activities

The Doctoral School offers an annual series of voluntary activities for all doctoral students. This formation has a transversal and interdisciplinary nature. The offer is dynamic and covers the following formative aspects: communication (oral and written), access and information management, and skills for a future social and professional performance.  Information about the activities, admission and enrolment can be found in the website of the Doctoral School  (info).

Additionally, other formative activities of interest for a wide range of our doctoral students are disseminated through our web (info).


Specific Training Activities

Information about training activities can be found here.


Mobility

Doctoral students enrolled in doctoral programs benefit from mobility aids established in various national and international calls. The calls for the Erasmus + program stand out.

In the Erasmus + Studies mode, doctoral students can choose a wide range of destinations, since most of the agreements signed by the University of Zaragoza with other universities include places for PhD students of all branches.

In the Erasmus + Stays / Practices in companies modality, PhD students access two calls: the one from the University of Zaragoza and the one carried out by the Iberus International Campus of Excellence for the universities that comprise it, the one from Zaragoza among them.

Other mobility calls are specifically designed for Latin American students and for international stays of students with predoctoral contracts. The mobility of doctoral students of the University of Zaragoza is also encouraged with cotutela agreements signed with foreign universities.


Research Lines

  • Algebra, Algebraic methods in Coding, cryptography and Graph Theory, Didactics of Mathematics
  • Mathematical Analysis
  • Numerical Analysis
  • Scientific computation
  • Differential Equations
  • Statictics and operation Research
  • Geomety and Topology
  • Dynamical Systems
  • Control Theory and Applications

Research Teams

Álgebra, Métodos Algebráicos en Codificación, Criptografía y Teoría de Grafos.

  • JOSÉ ANGEL ANGUELA VICENTE
  • ISABEL BERMEJO DÍAZ
  • MONTSERRAT CASALS RUIZ
  • TERESA DE JESUS CORTÉS GRACIA
  • Alberto Carlos Elduque Palomo
  • LUIS MIGUEL EZQUERRO MARÍN
  • GUSTAVO A. FERNÁNDEZ ALCOBER
  • IGNACIO FERNÁNDEZ RÚA
  • ELÍAS FERNÁNDEZ-COMBARRO ÁLVAREZ
  • EVELIA GARCÍA BARROSO
  • SANTOS GONZÁLEZ JIMÉNEZ
  • JON GONZÁLEZ SÁNCHEZ
  • ILYA KAZACHKOV
  • CONCEPCIÓN LÓPEZ DÍAZ
  • LUIS MARTÍNEZ FERNÁNDEZ
  • CONSUELO MARTÍNEZ LÓPEZ
  • Concepción María Martínez Pérez
  • Javier Otal Cinca
  • ALEJANDRO PIÑERA DÍAZ
  • L. JOSÉ RODRÍGUEZ MUÑIZ
  • MARTÍN SOCAS ROBAYNA
  • ANTONIO VERA LÓPEZ

Geometría y Topología

  • Enrique Manuel Artal Bartolo
  • José Ignacio Cogolludo Agustín
  • Mª LUISA FERNÁNDEZ RODRÍGUEZ
  • JAVIER FERNÁNDEZ DE BOADILLA DE OLAZABAL
  • OSCAR L. GARAY BENGOECHEA
  • JOSÉ CARMENLO GONZÁLEZ DÁVILA
  • FRANCISCO JAVIER GUTIÉRREZ GARCÍA
  • RAÚL IBÁÑEZ TORRES
  • MARTA MACHO STADLER
  • JUAN CARLOS MARRERO GONZÁLEZ
  • FRANCISCO MARTÍN CABRERA
  • EDITH PADRÓN FERNÁNDEZ
  • Luis Ugarte Vilumbrales

Análisis Matemático

  • José Antonio Adell Pascual
  • FERNANDO ALBIAC ALESANCO
  • TERESA BERMÚDEZ DE LEÓN
  • Julio José Bernués Pardo
  • JORGE J. BETANCOR PÉREZ
  • ANTONIO BONILLA RAMÍREZ
  • MARIA JESUS CAMPION ARRASTIA
  • JUAN C. FARIÑA GIL
  • MANUEL FLORES MEDEROS
  • José Esteban Galé Gimeno
  • ESTEBAN INDURAIN ERASO
  • JOHAN OLOF JANSSON
  • MARIA CAMINO LERÁNOZ ISTÚRIZ
  • MARÍA ISABEL MARRERO RODRÍGUEZ
  • ANTONIO MARTÍNEZ ABEJÓN
  • ANTONIO MARTIÑÓN CEJAS
  • Pedro José Miana Sanz
  • MICHAIL MOURGOGLOU
  • IOANNI PARISSIS
  • IOANNIS PARISSIS
  • FERNANDO PÉREZ GONZÁLEZ
  • CARLOS PEREZ MORENO
  • CARLOS PÉREZ MORENO

Ecuaciones Diferenciales

  • CARLOTA MARÍA CUESTA ROMERO
  • JAVIER DUOANDIKOETXEA ZUAZO
  • LUIS ESCAURIAZA ZUBIRIA
  • MIGUEL ESCOBEDO MARTÍNEZ
  • GONZALO GALIANO CASAS
  • JORGE GARCÍA MELIÁN
  • MARÍA LUISA GARZÓN MARTÍN
  • Francisco José Gaspar Lorenz
  • SALIM MEDDAHI SOURAS
  • Carmen Rodrigo Cardiel
  • JOSÉ CLAUDIO SABINA DE LIS
  • SERGEI SHMAREV JIGULEV
  • J.J. TRUJILLO JACINTO DEL CASTILLO
  • LUÍS VEGA GONZÁLEZ
  • ARGUIR DANI ZARNESCU

Análisis Numérico

  • PEDRO ALONSO VELÁZQUEZ
  • ANDRÉS ARRARÁS VENTURA
  • MICHAEL BARTON
  • JEAN-BERNARD BRU
  • Jesús Miguel Carnicer Álvarez
  • Ricardo Celorrio de Pablo
  • Carmelo Clavero Gracia
  • FRANCISCO DE LA HOZ MÉNDEZ
  • Jorge Delgado Gracia
  • CARLOS DÍAZ MENDOZA
  • VÍCTOR DOMÍNGUEZ BÁGUENA
  • RAFAEL GALLEGO AMEZ
  • PAULINO GARCÍA NIETO
  • SEVERIANO GONZÁLEZ PINTO
  • CARLOS GORRIA CORRES
  • José Luis Gracia Lozano
  • MARIA INMACULADA HIGUERAS SANZ
  • María Cruz López de Silanes Busto
  • JOSÉ LUIS LÓPEZ GRACIA
  • Esmeralda Mainar Maza
  • MARIANO MATEOS ALBERDI
  • SALIM MEDDAHI BOURAS
  • Juan Ignacio Montijano Torcal
  • VIRGINIA MUTO
  • RAMÓN ORIVE RODRÍGUEZ
  • DAVID PARDO ZUBIAUR
  • Juan Manuel Peña Ferrández
  • LAURA PORTERO EGEA
  • Luis Rández García
  • FERNANDO SÁNCHEZ LASHERAS
  • VIRGINIA SELGAS BUZNEGO
  • MARÍA LUISA SERRANO ORTEGA
  • JUAN JOSÉ TORRENS IÑIGO
  • FERNANDO VADILLO ARROYO
  • JULIÁN VELASCO VALDÉS

Sistemas Dinámicos

  • ELENA AKHMATSKAYA
  • Roberto Barrio Gil
  • Fernando Blesa Moreno
  • Antonio Carmelo Elipe Sánchez
  • SANTIAGO IBAÑEZ MESA
  • GIANNI PAGNINI
  • JESUS FRANCISCO PALACIAN SUBIELA
  • ANTONIO PUMARIÑO VÁZQUEZ
  • JOSE ANGEL RODRIGUEZ MÉNDEZ
  • Sergio Serrano Pastor
  • JESUS SUAREZ PÉREZ DEL RIO
  • PATRICIA YANGUAS SAYAS
  • MANUEL ZAMORA CLEMENTE

Teoría del Control y Aplicaciones

  • LUIS FROILÁN BAYÓN ARNAU
  • NILO CARLOS BOBILLO ARES
  • JUAN LUIS FERNÁNDEZ MARTÍNEZ
  • Eduardo Martínez Fernández
  • MARÍA DEL MAR RUIZ SANTOS
  • PEDRO MARÍA SUÁREZ RODRÍGUEZ
  • ION ZABALLA TEJADA

Estadística e investigación operativa

  • BEATRIZ ABDUL-JABAR BETANCOR
  • PABLO DAVID ALCAIDE LÓPEZ DE PABLO
  • José Tomás Alcalá Nalvaiz
  • INMACULADA AROSTEGUI MADARIAGA
  • Herminia Inmaculada Calvete Fernández
  • CARLOS ENRIQUE CARLEOS ARTIME
  • Ana Carmen Cebrián Guajardo
  • ANA MARÍA COLUBI CERVERO
  • NORBERTO BLANCO CORRAL BLANCO
  • INÉS COUSO BLANCO
  • RAFAEL DEL HOYO ALONSO
  • SUSANA IRENE DÍAZ RODRÍGUEZ
  • SUSANA DÍAZ VÁZQUEZ
  • JOSE SANTOS DOMÍNGUEZ MENCHERO
  • ROBERTO DORTA GUERRA
  • FRANCISCO JAVIER FAULIN FAJARDO
  • ANA FERNÁNDEZ MILITINO
  • ARTURO JAVIER FERNÁNDEZ RODRÍGUEZ
  • María del Carmen Galé Pola
  • MARÍA ANGELES GIL ÁLVAREZ
  • TOMÁS GOICOA MANGADO
  • ENRIQUE GONZÁLEZ DÁVILA
  • CARLOS GONZÁLEZ MARTÍN
  • GIL GONZÁLEZ RODRÍGUEZ
  • JOSÉ MIGUEL GUTIÉRREZ EXPÓSITO
  • María Beatriz Lacruz Casaucau
  • DAE-JIN LEE
  • MIKEL LEZAUN ITURRALDE
  • MIGUEL LÓPEZ DÍAZ
  • Francisco Javier López Lorente
  • Pedro Mariano Mateo Collazos
  • MARÍA MERINO MAESTRE
  • ENRIQUE MIRANDA MENÉNDEZ
  • JOSÉ ANTONIO MOLER CUIRAL
  • MANUEL FRANCISCO MONTENEGRO HERMIDA
  • SUSANA MONTES RODRÍGUEZ
  • RAÚL PÉREZ FERNÁNDEZ
  • GLORIA ISABEL PÉREZ SAINZ DE ROZAS
  • MARIA XOSE RODRIGUEZ ALVAREZ
  • JUAN JOSÉ SALAZAR GONZÁLEZ
  • Carmen Josefa Sangüesa Lafuente
  • Gerardo Sanz Sáiz
  • ANTONIO SEDEÑO NODA
  • JOAQUÍN SICILIA RODRÍGUEZ
  • BEATRIZ SINOVA FERNÁNDEZ
  • PEDRO NICOLÁS TERÁN AGRAZ
  • EMILIO TORRES MANZANERA
  • MARÍA DOLORES UGARTE MARTÍNEZ

Computación científica

  • FRANCISCO ALMEIDA RODRÍGUEZ
  • FRANCISCO ARGÜESO GÓMEZ
  • PINO CABALLERO GIL
  • MARCO ELLERO
  • JUAN LUIS FERNÁNDEZ MARTÍNEZ
  • ZULIMA FERNÁNDEZ MUÑIZ
  • MARÍA CANDELARIA HERNÁNDEZ GOYA
  • JOSE A. LOZANO ALONSO
  • JOSE ANTONIO LOZANO ALONSO
  • JOSÉ A. MORENO PÉREZ
  • LAKHDAR REMAKI
  • JESÚS VILLADANGOS ALONSO

Didáctica de las matemáticas

  • ÁLVARO AGUILAR GONZÁLEZ
  • MATIAS CAMACHO MACHIN
  • ISRAEL GARCÍA ALONSO
  • IGNACIO GARCÍA MARCO
  • JUAN CARLOS JORGE ULECIA
  • DAE-JIN LEE
  • INMACUOLADA LIZASOAIN IRISO
  • LAURA MUÑIZ RODRÍGUEZ
  • L. JOSÉ RODRÍGUEZ MUÑOZ
  • MIGUEL RODRIGUEZ-WILHELMI
  • DIANA DE LAS NIEVES SOSA MARTIN
  • MIGUEL WILHELMI


Academic Regulations

The Doctoral School of the University of Zaragoza has rules and procedures to achieve its various goals, which have been written with the agreement of the different levels of the Doctoral School, and are published on its website.

The regulations section of the Doctoral School website contains other important regulations, both national and of the University of Zaragoza, such as RD 99/2011 por el que se regulan las enseñanzas oficiales de doctorado, el Reglamento de los Estudios de Doctorado (2012) y el Reglamento sobre tesis doctorales (2014).


PhD Duration and Their Management Rules

Rules of duration and permanence in the doctorate are established in Instrucción de23 de mayo de 2018 de la Escuela de Doctorado relativa al acceso, admisión,dedicación y permanencia en los estudios de doctorado de la Universidad deZaragoza (R.D. 99/2011).

Full-time thesis should be complete in three years, from the date of admission to the doctoral program, although the Academic Committee of the program may authorize the extension of this period for one more year. Part-time doctoral students will have five years from their admission to the presentation of the thesis, and the Academic Committee may authorize an extension for two more years. Exceptionally, an additional year of extension can be added.

PhD candidates may request a change in dedication (full-time / part-time) as well as the temporary withdrawal for justified reasons of the Academic Committee. They can cause a definitive withdrawal and see their file closed in these cases: if the available time to deposit the thesis is exceeded or if they receive two consecutive negative evaluations of the research plan.

These processes are explained in detail on our website (info) and the doctoral students are told how to proceed in cases of temporary withdrawal (info).


Academic Calendar

The academic year is governed by the deadlines established in the specific Doctoral School´s academic calendar.

This calendar sets the periods of request for entry, admission to the programs, enrollment at the University of Zaragoza, as well as how the students must present every year the research plan and the activities document, deadlines for defending doctoral theses, etc.

The Doctoral School website publishes the calendar of the current course as well as the two previous courses (info).


Regulation

Documents

Commissions

Forms