This proposal proposes an interdisciplinary doctorate whose itineraries in specific areas of specialization allow the formation of PhD students in different areas of knowledge (Fundamental Mathematics, Applied Mathematics, Statistics, Mathematical Transfer, Information Technologies, among others). In these moments, the scientific production and the formative capacity of the researchers of the different groups in the field of the Scientific Computing, Mathematical, Mathematical Models and Statistical Techniques advises the creation of a specific doctorate program, with its own identity, that allows the consolidation of the research and transfer activity in this area.

Justification of the title

The university requesting the Ph.D. program in Mathematics and Statistics is the University of Zaragoza (UZ).

The University of Zaragoza was created with the aim of offering quality university education. He started his academic activity in the 1550 course and since then he has obtained the following recognitions:

  • Institution number 223 in the INSTITUTION RANKINGS IN MATHEMATICS by the ISI Web of Knowledge.
  • Member of the G9 (2000 doctoral students, 230 thesis / year)
  • Participant in more than 40 European Projects (Erasmus, Leonardo da Vinci, etc.) since 2004.
  • He has made more than 1700 agreements with foreign universities, receiving more than 1200 Erasmus students.
  • Seventh of the 11 universities in Spain included in the ranking of Shanghai.

The UZ has the Vice-Rectorships for Scientific Policy and Technology Transfer and Innovation, whose main function is to promote and coordinate the research, innovation and knowledge transfer of the university, with the guarantee of effective management and mechanisms for dissemination adequate Aware of the importance of the incorporation of PhD students for the development and consolidation of research groups, the university's master plan establishes a set of actions aimed at ensuring the quality of the training programs of the new research staff.

Until 2011, the different participating universities carried out this research training in various doctoral programs:

ULL: Doctoral Program in Mathematics, interdepartmental Doctorate program in which the Department of Economic Analysis of the Faculty of Economic and Business Sciences of the ULL and the three Departments of the Faculty of Mathematics of the ULL participate: Mathematical Analysis, Fundamental Mathematics and Statistics, Operations Research and Computing. He has participated in the last call to the mention of excellence, obtaining a favorable report, but being excluded at the end of said mentions, fundamentally for not having a large number of Doctorate students that justify such mention. The organization of the interuniversity program that is proposed would contribute to improving this aspect.

UO: Doctoral Program in Mathematics and Statistics, interdepartmental doctoral program in which the Department of Mathematics and the Department of Statistics, Operational Research and Mathematics Didactics participate.

UPV / EHU: Doctoral Program in Mathematics, interdepartmental doctoral program in which the Mathematics Department and the

of Applied Mathematics, Statistics and Operational Research.

UPNA: Currently there are two active PhD programs in which the doctoral thesis can be carried out:

  • Doctoral Program in Mathematical Methods and Applications, interdepartmental doctoral program in which the Departments of Mathematics, Statistics and Operations Research, and Mathematical and Computer Engineering participate. This Doctoral Program replaced the former Doctoral Program in Statistics, Mathematics and Information Technology.
  • Doctoral Program in Sciences, a transverse type doctoral program in which all the research lines that fall within the doctoral program in Sciences are included.

UZ: Doctoral Program in Mathematics and its Applications (interdepartmental doctoral program that includes all the departments of mathematics of the University of Zaragoza). Has previously had the mention of quality (Quality Mention ref.MCD-2005-00287). He has participated in the last call for the mention of excellence, obtaining a favorable report, but remaining outside the mentions of excellence, mainly due to the lack of creation of a plan between different universities, an aspect that would improve significantly with this project.

interuniversity program.

The universities of Oviedo, País Vasco, Pública de Navarra and Zaragoza, together with the University of La Rioja, have been teaching two master's degrees in recent years:

  • Master's Degree in Introduction to Mathematics Research
  • Master in Mathematical Modeling, Statistics and Computing.

The aim of the Master in Initiation to Mathematical Research is to offer students a training aimed at Mathematics research, which provides them with the necessary tools to start an academic and fundamental research line.

The Master in Mathematical Modeling, Statistics and Computing has a more transversal character. The topic addressed in it focuses on the mathematical modeling of problems of interest in other areas of science and technology. It is therefore a master oriented to the transfer of technology (in this case mathematical technology) to companies and technology centers.

For the next course has agreed to transform these two degrees into a single master, which involved the same universities that do in this interuniversity doctorate, to meet the needs of those students seeking an academic orientation, both to complete their mathematical preparation , as to access our doctoral program, while maintaining adequate training in terms of transversality and orientation towards technology transfer.

The experience acquired with the organization of these Interuniversity Masters and the synergy developed in this joint activity has motivated the union of efforts that has led to the request of an interuniversity doctorate program.

This proposal proposes an interdisciplinary doctorate whose itineraries in specific areas of specialization allow the formation of PhD students in different areas of knowledge (Fundamental Mathematics, Applied Mathematics, Statistics, Mathematical Transfer, Information Technologies, among others). In these moments, the scientific production and the formative capacity of the researchers of the different groups in the field of the Scientific Computing, Mathematical, Mathematical Models and Statistical Techniques advises the creation of a specific doctorate program, with its own identity, that allows the consolidation of the research and transfer activity in this area.

Studies responsible for the doctoral program: Mathematics Studies

It should be noted that the research lines of the doctorate are housed in the research center coordinated by the University of Zaragoza, the IUMA, in addition to the various universities that make up the project. In any case, the lines and research groups linked to the program are always articulated around Mathematics Studies. All of the Mathematics research groups involved in the program have funded research projects, both nationally and internationally, recognition by quality agencies

of the university system, accredited professors and with recognized research sections, and an extensive list of publications in prestigious scientific journals and congresses that support their research career.

The different research centers mentioned have scholarship programs, visiting professors, resident professors, postdoctoral researchers and guest professors, among others, that encourage collaboration with groups and researchers from other universities and provide added value to doctoral studies.

The teaching of the training activities for full-time doctoral students will take place in participating universities and higher education institutions or research centers that collaborate with the program. The rest of the training activities aimed at the group of full-time PhD students, as well as the research activity undertaken by them, will usually be carried out in the spaces of the respective Universities.

In the buildings of the Universities will take place the sessions of the Doctoral Seminar and the methodological workshops aimed specifically at full-time doctoral students, but also open for part-time students. The seminars of the research groups, the meetings with the Thesis Director, the annual follow-up evaluations, etc. will also be carried out. In addition, this group of PhD students will usually carry out their research activity in these buildings, notwithstanding the temporary stays that, in the development of this activity, they carry out in other higher education institutions or research centers and the trips they carry out for carry out their research work or in

the diffusion of them.

The formative activity of the training period will be developed in the different campuses, with different languages, using the English language in the imparting of diverse contents and subjects. English can also be used in the preparation of research plans, in the writing and defense of doctoral theses, and in the delivery of some training activities (methodological courses, thematic research seminars and complementary training activities aimed at research) . We must emphasize that this program aims to promote the realization of doctoral theses included in International Doctorate, for which the defense and part of the thesis must be done in another language, in addition to making several stays in various international research centers.

Orientation and evolution of the program

The Doctorate program in Mathematics and Statistics will bring together different areas of knowledge with the following objectives:

  • Provide advanced training in research in the various branches of Mathematics.
  • Facilitate the realization of original research initiatives, which contribute to the accumulated knowledge about the different subjects.
  • Promote interdisciplinarity in research, facilitating the interrelation of doctoral students who investigate in different fields of mathematics, or other branches of science.

The participating universities maintain a continuous interest to advance in the attainment of high levels of quality for their doctorates, for which they have been carrying out successive reforms in accordance with the organization of the official university education at all times (Royal Decrees 1393/2007, of October 29, and 99/2011, of January 28), always focusing on the following areas: the selection and admission of doctoral students, the design of the training and research itinerary of the doctoral students, and the evaluation of the work they lead to This will apply to the Doctorate program in Mathematics and Statistics that we present. The experience accumulated by the university community involved in the studies (doctoral students, thesis directors, professors, research groups, doctoral academic commissions, coordinators of the programs of each university, vice-rector of research, etc.) is the result of the evaluations carried out conducted within each participating university. This experience is used for the design of this program, which aims to improve the admission process of doctoral students to the program, improve their methodological training, and define procedures and figures for the direction and evaluation of doctoral theses. comparable, in their design and operation, to international standards.

Competencies

Basic and personal competences

Doctoral studies will guarantee, as a minimum, the following competences

Basic:

  • CB11 Systematic understanding of a field of study and mastery of research skills and methods related to that field.
  • CB12 Ability to conceive, design or create, implement and adopt a substantial process of research or creation.
  • CB13 Ability to contribute to the expansion of the frontiers of knowledge through original research.
  • CB14 Ability to perform a critical analysis and evaluation and synthesis of new and complex ideas.
  • CB15 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.
  • CB16 Capacity to promote, in academic and professional contexts, the scientific, technological, social, artistic or cultural advancement within a society based on knowledge.
  • CA01 Develop in contexts in which there is little specific information.
  • CA02 Find the key questions that must be answered to solve a complex problem.
  • CA03 Design, create, develop and undertake innovative and innovative projects in their field of knowledge.
  • CA04 Work both as a team and independently in an international or multidisciplinary context.
  • CA05 Integrate knowledge, face complexity and formulate judgments with limited information.
  • CA06 The intellectual criticism and defense of solutions.

Other competences

According to RD1027 / 2011 of July 15, which establishes the Spanish Qualifications Framework for Higher Education (MECES).

  • CMECES1) Have acquired advanced knowledge at the frontier of knowledge and demonstrated, in the context of internationally recognized scientific research, a deep, detailed and well-founded understanding of the theoretical and practical aspects and scientific methodology in one or more research areas.
  • CMECES2) Have made an original and significant contribution to scientific research in their field of knowledge and that this contribution has been recognized as such by the international scientific community.
  • CMECES3) Have demonstrated that they are capable of designing a research project with which to carry out a critical analysis and an evaluation of imprecise situations in which to apply their contributions and their knowledge and work methodology to make a synthesis of new and complex ideas that
  • produce a deeper knowledge of the research context in which you work.
  • CMECES4) Have developed sufficient autonomy to initiate, manage and lead innovative research teams and projects and national or international scientific collaborations, within their thematic scope, in contexts
  • multidisciplinary and, where appropriate, with a high component of knowledge transfer.
  • CMECES5) Have shown that they are capable of developing their research activity
  • with social responsibility and scientific integrity.
  • CMECES6) To have justified that they are capable of participating in scientific discussions that take place internationally in their field of knowledge and of disclosing the results of their research activity to all types of public).
  • CMECES7) Having demonstrated within their specific scientific context that they are capable of making advances in cultural, social or technological aspects, as well as fostering innovation in all areas in a knowledge-based society.

Formation activities

  • Tutorial
  • Mobility
  • Research seminars
  • Seminars
  • Workshops
  • Skills for the dissemination and communication of Research
  • Skills for a quality professional insertion
  • Orientation for employment
  • Academic English
  • Scientific commitment and professional responsibility of the researcher
  • Information skills for doctoral students

Lines of investigation

  • Line 1: Algebra
  • Line 2: Algebraic Methods in Coding, Cryptography and Graph Theory. Mathematics Teaching
  • Line 3: Geometry and Topology
  • Line 4: Mathematical Analysis
  • Line 5: Partial Derivative Equations
  • Line 6: Numerical Analysis
  • Line 7: Dynamic Systems
  • Line 8: Theory of Control and Applications
  • Line 9: Statistics and operational research
  • Line 10: Scientific computing

Admission criteria

Admission to the doctorate program in Mathematics and Statistics

In order to take doctorate courses it is essential that the academic committee of the program admit the doctoral student.

To obtain such admission, the student must request it by addressing the academic commission of the program within the period established annually in the academic calendar and according to the established procedure.

In view of the documentation submitted, the academic committee of the program will determine if necessary to meet additional requirements including the passing of specific tests.

In addition to the aforementioned access criteria, conditions for admission to the Doctorate program in Mathematics and Statistics are established.

Students must have a clear interest in pursuing a doctorate in a field of

knowledge related to this program and its lines and research groups. The Academic Committee of the program will study each application individually, allowing, in exceptional cases, the admission of PhD students with other profiles when it is considered justified. The admission of candidates who wish to access the doctoral program will be based on exclusively

scientific and academic

In addition to the access requirements that future doctoral students have to meet,

for admission to the doctorate program, the academic trajectory of the candidates will be taken into account first and secondly, the adaptation of their training, experience and research interests to the fields of knowledge or the topics associated with the Doctorate program .

The experience and previous scientific production of the future doctoral students, if any, will be valued, as well as their motivation in the development of work dynamics that lead to the effective realization of doctoral theses.

The candidates to enter the program will present their previous academic experience and their research interests, by presenting the following documentation for evaluation by the Academic Committee of the program:

(a) Cover letter that, in no more than 1,000 words, that includes:

  • the specific motivations that drive the candidacy;
  • a description of the research interests.

(b) Curriculum vitae in which the following information is recorded:

  • the complete physical address, a contact telephone number and the student's electronic address;
  • the programs and master's or postgraduate courses followed and surpassed by the student and related to the research interests expressed in the cover letter;
  • the student's prior scientific production, if applicable.

(c) Graduate and postgraduate academic record (in Spanish or English).

(d) Full name, institutional affiliation, postal address and electronic address of reference persons.

(e) ID or passport.

(f) If the candidate establishes other merits (see the system for evaluating the candidates), he must provide the corresponding supporting documentation.

In case of doubts about the suitability of a candidate, a personal interview may be conducted with a professor or researcher who is a member of the Academic Committee of the program.

Evaluation of the candidacies

The candidatures will be evaluated on a maximum of 100 points, which will be assigned in the following way:

  • Maximum of 40 points for the academic record of degree (or equivalent). If the weighted average of the file (using the number of credits of each subject as weight of each grade) is calculated using the usual scale of 0 to 4 (0 for suspense, 1 for passing, 2 for notable, 3 for outstanding and 4 for honor registration), the points will be assigned as follows:
    - 0 points if the average grade is less than 1,
    - 20 points if 1
  • Maximum of 20 points for the master's academic record (or equivalent). If the weighted average of the file (using the number of credits of each subject as weight of each grade) is calculated using the usual scale of 0 to 4 (0 for suspense, 1 for passing, 2 for notable, 3 for outstanding and 4 for honor registration), the points will be assigned as follows:
    - 0 points if the average grade is less than 1,
    - 10 points if 1
  • Maximum of 10 points for the previous scientific production of the candidate, with the following weight:
    - 10 points if the candidate accredits a work published or accepted in a journal indexed in the JCR (or another reference index that the academic Commission considers valid),
    - 8 points for a work published or accepted in a journal not indexed in JCR (or another reference index that the Academic Committee considers valid) as long as the publication process in the journal includes peer review,
    - 6 points for a work published or accepted in an international congress with peer review,
    - 4 points for a work published or accepted in a national congress with peer review,
    - 2 points for the final master's work in research mode.
  • Maximum of 10 points for accrediting (or demonstrating in an interview) an English level.
  • Maximum of 10 points for the cover letter.
  • Maximum of 10 points for other merits stated by the candidate, such as accrediting awards, patents, scholarships, research stays in reference centers or previous professional experience in ID I.

The minimum score to access the program will be 50 points, calculated with the above criteria. Candidates who obtain less than 50 points will not be accepted.

Admission of candidates

The allocation of places will be made taking into account the available places for each line of research offered and the profiles of the candidates. Each academic year will be made public the number of places offered in the doctoral program, in addition to the criteria that are considered in the selection of future doctoral students.

Admission will be resolved by the Academic Committee of the program. The Academic Committee of the program will decide the admission of the doctoral students according to the criteria and procedures previously established, admission that may be conditioned to the improvement, if applicable, of the corresponding training complements, specified in section 3.4 of the application.

The Commission will be responsible for ensuring compliance with the access and admission requirements and, through the review of the documentation submitted by the candidates and conducting personal interviews, assess the adequacy of the applications to the profile of entry into the program .

Main degrees of access:

This PhD program is designed to welcome students with capacity for abstract reasoning, interest in solving problems and a taste for mathematics. It is essential to have a solid mathematical background and a B1 level of English, which will be accredited with a diploma or through an interview with the Academic Committee of the Program. In this sense, the recommended access profile is that of a student with a bachelor's degree or degree in Mathematics or Statistics and having completed one of the interuniversity master's degrees indicated below:

  • Interuniversity Master's Degree in Introduction to Mathematics Research
  • Interuniversity Master in Mathematical Modeling, Statistics and Computing
  • Interuniversity Master in Modeling and Mathematical Research, Statistics and Computing.

Students who have completed other master's degrees in mathematical or related fields, either in the UZ, UO, UPV, ULL, UPNA or in other universities may also be admitted to the doctoral program. Other degree programs that can give access to the program are degrees or degrees in physics or computer science and engineering. This admission, for students without the recommended access profile, may be accompanied by the corresponding training complements, depending on each case, which will consist of between 12 and 30 credits from one of the interuniversity masters offered at that time, among those indicated previously, proposed by the academic committee taking into account the research interests expressed by the candidate in his cover letter.

In the case of students whose degree is not that of mathematics or whose master does not correspond to those indicated in the recommended profile, the Academic Committee of the Doctoral Program may establish training complements. These training complements, which in no case will exceed 15 credits, correspond to some (or some) of the subjects of the mathematical modeling or initiation to research in mathematics (or similar subjects of the new master, when it begins to be taught) ). The Doctorate Academic Committee, after hearing the tutor of the student, will decide on the specific subjects to be performed. The content of the subjects can be seen here.

In the case of students from master's programs with professional orientation, who have not made research credits, the final master's degree project may be included among the training complements.

Students with disabilities

Since its inception, the participating universities have devoted an important effort to adapt their technology to make access to the University possible for people with disabilities. In the same way, and trying to facilitate the contents and didactic resources to all the possible users, it distributes the documentation of the subjects in PDF format, which allows its automatic reading from TTS conversion tools (Text-to-Speech, converters of text-voice). The University of Zaragoza also has a University Office for Attention to Disability.

A group of students with a degree of disability greater than or equal to 33% will be subject to the same exemptions and discounts as other universities in the public system.

Program taught in:
English
Spanish

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Last updated June 19, 2018
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