Doctoral Programme in Mathematics

The entry profile establishes the knowledge, skills and abilities that students wishing to access this programme must possess and, consequently, the most suitable qualifications for access to the programme and which determine admission and, where appropriate, the need for PhD students to undertake additional training.
In general, the entry profile for the programme is that of a Master’s degree in the field of Mathematics and Statistics (including Applied Mathematics), as well as Physics and Astronomy.
Other degrees can also serve as a direct entry profile if they deal with the same branch of knowledge and have a comparable level; for example, the extinct DEA degree obtained through the programmes of the Faculty of Mathematics of the USC. If the level is not comparable, the CAPD may make admission conditional on the completion of complementary training, as discussed in another section.
The student profile must also include good language skills in English.

Access

The general access and admission requirements are those set out in Royal Decree 99/2011, of 28 January, which regulates official PhD studies, and as amended by Royal Decree 576/2023, of 4 July. These are:
1. In general, in order to access an official PhD programme, it shall be necessary to hold an official Spanish Bachelor´s degree, or equivalent, and a Master´s degree or equivalent, provided that at least 300 ECTS credits have been obtained in these two courses as a whole.
2. Access may also be granted to those who are in one of the following situations:
a) To hold official university degrees or equivalent Spanish degrees, provided that at least 300 ECTS credits have been passed in these courses as a whole, and accredit a level 3 of the Spanish Qualifications Framework for Higher Education.
b) To hold a degree obtained in accordance with foreign education systems belonging to the European Higher Education Area (EHEA), without the need for homologation, which accredits a level 7 of the European Qualifications Framework, provided that this degree entitles access to PhD studies in the country of issue of the same. This admission shall not imply, in any case, the homologation of the previous degree held by the interested party nor its recognition for purposes other than access to PhD studies.
c) To hold a degree obtained in accordance with foreign education systems outside the EHEA, without the need for its recognition, after verification by the university that it accredits a level of training equivalent to that of the official Spanish university Master´s degree and that it entitles the holder to access PhD studies in the country in which the degree was awarded. This admission shall not imply, in any case, the homologation of the previous degree held by the interested party, nor its recognition for purposes other than that of access to PhD studies.
d) To hold another PhD or Doctorate degree.
e) Likewise, university graduates who, after obtaining a place in training in the corresponding entrance examination to specialised health training posts, have passed with a positive evaluation at least two years of training in a programme for obtaining the official qualification in one of the specialities in Health Sciences, may also be admitted.

A compulsory requirement for admission to the PhD programme is the submission of a report by the student consisting of a reference letter from a lecturer on the programme who i) endorses the potential viability of the future thesis within the framework of a line of research of the programme to which it is linked, and who ii) could act as supervisor if the necessary requirements for this are met.
Furthermore, given the characteristics and scientific level of the PhD programme, the student must have a minimum level of English equivalent to level B1, not only because it is currently the common language of scientific communication at international level, but also because part of the courses, both specific and transversal, as well as various activities of the programme can be carried out in this language. The language level will be accredited with the corresponding official certification of those included in the list of accreditations recognised by the Modern Language Centre (CLM) of the USC for the different levels of the Common
European Framework: https://www.usc.gal/es/centro/centro-lenguas-modernas.
It can also be proved by personal interview or by having studied English at primary and secondary school level.

Students will be selected for admission to the programme on the basis of the following criteria:
- Academic record (60 %) determined by the grades obtained in the bachelor’s and master’s degree (or DEA or research proficiency). Priority will be given to the mathematical background of the master’s degree (or equivalent qualification).
- Previous research experience and results (5 %): In this section, publications, communications and other scientific contributions to conferences and their suitability to the lines of research of the PhD programme will be assessed. Candidates must submit supporting documentation.
- Professional experience (5 %): In this section, professional experience related to the lines of research of the PhD programme will be assessed. Candidates must submit supporting documentation (certificate of employment, copy of contracts, grants, etc.).
- Other aspects accredited in the candidate’s CV (5 %): In this section, research stays, courses taken and courses given related to the programme’s lines of research will be valued. Knowledge of English and knowledge of languages other than the candidate’s mother tongue, etc. Candidates must provide supporting documentation.
- Personal interview (15 %): In this section, motivation and aptitude, communication skills, general knowledge of mathematics, etc. will be assessed.
- Motivation letter and letters of recommendation (10 %)
The same criteria will be applied for the admission of all students regardless of whether they are full-time or part-time.

The PhD programme may be terminated for any of the following reasons:
• Failure to pass the accreditation renewal process established in article 10 of RD 99/2011.
• Failure to accredit compliance with the requirements established by the state or regional regulations in force.
• A proposal is made to terminate the programme as part of the degree review and improvement process in accordance with the procedure approved by the university.
• The occurrence of any exceptional situation that prevents the correct development of the PhD programme.
Termination shall have the following effects:
• It will entail the loss of its official status and its removal from the RUCT.
• It will not be possible to enrol new students in the PhD programme.
• In any case, all affected students must be informed of the termination and of the consequences for the development of their studies.
The University shall adopt the necessary measures to guarantee the academic rights of the students who are taking these studies under the terms established in the resolution for the termination of the study plan, and shall approve the procedure for the termination of the PhD programmes within the University.

- Systematic understanding of a field of study and mastery of research skills and methods related to that field.
- Ability to conceive, design or create, implement and adopt a substantial research or creative process.
- Ability to contribute to the expansion of the frontiers of knowledge through original research.
- Ability to carry out critical analysis, evaluation and synthesis of new and complex ideas.
- 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.
- Ability to promote, in academic and professional contexts, scientific, technological, social, artistic or cultural progress within a knowledge-based society.
- Ability to promote Open Science and Citizen Science, in accordance with article 12 of Organic Law 2/2023 of 22 March, as a way of contributing to the consideration of scientific knowledge as a common good, through the evaluation of transversal activities carried out by the PhD student related to different dimensions of Open Science and Citizen Science, as well as the training acquired in these disciplines in the form of micro-credentials or similar.