PhD in Mathematics and Applications


What you learn

It is intended that the students of the program acquire the ability to conceive, project and develop research topics autonomously or in collaboration, respecting standards of academic quality and integrity. Moreover, they must learn to carry out research work with original results that contribute to widening the frontiers of knowledge in the respective research areas and that is worthy of publication in specialized international per review journals. Finally, it is intended that they are able to critically analyze and synthesize new and complex ideas and to communicate with the scientific community and with society in general. In a more general perspective, people who complete the program must acquire the ability of interpreting and modeling scientific-technological problems, perceiving their economic and social relevance, building a critical vision of knowledge and reality.

Professional and academic career

Professional and academic career

The doctoral program in Mathematics and Applications aims for its students to acquire the most relevant research and transfer skills, which will allow them to demonstrate valuable competencies to improve future job prospects. A joint doctoral program provides students with wide and varied access to the resources of the various institutions, faculty staff and researchers, and allows them to benefit from a wide range of opportunities. Thus, students of this type of doctorate can take advantage of the strengths of each institution to start and develop their scientific careers. On the other hand, the growing interest of the industrial and business sector in people with advanced mathematical training provides students of this program with varied job prospects apart from those which are exclusive to the academic environment. Thus, the skills acquired in the program, such as the capacity of analysis, synthesis, communication and the ability to deal with complex problem, are increasingly demanded in the current labor market.

Research lines

This are the main research lines for current study.

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Planning for teaching

Additional subject teaching

Candidates who do not meet all the necessary prior learning conditions for the programme may be required to complete additional courses in the form of subjects and modules from UDC Master’s and undergraduate programmes. The number of credits from additional subject teaching will not exceed 15 ECTS credits, which students may choose to complete before or after enrolment in the PhD programme.

Students who do not opt to complete additional coursework prior to enrolment should register for their extra subjects or modules at the same time as the PhD. Failure to complete additional coursework within a period of three consecutive terms will result in the termination of the student’s registration.

See also UDC PhD Policies and Regulations, Article 16: Applications.

EIDUDC teaching and training activities

EIDUDC teaching and training activities

Programme-specific teaching and training activities

Supervision agreement

The PhD supervision agreement defines the academic relationship between the candidate and the University, the rights and responsibilities of each (including any intellectual and/or industrial property rights resulting from the candidate’s research), the procedures in place in relation to conflict resolution, and the duration of the agreement. It also specifies the duties of the PhD tutor and supervisor.

The supervision agreement must be signed by the candidate, tutor and designated university representative (or representatives) within a maximum period of one month as from the date of registration. The supervisor’s signature may be added subsequently, once a supervisor has been appointed.

When the document has been signed by all the relevant parties, the agreement is then added to the candidate’s record of activities.

See also UDC PhD Policies and Regulations, Article 31: Supervision agreement.

Research plan

The candidate must prepare a research plan within six months of registration, with information regarding methodology, objectives, resources and milestones. The research plan is submitted together with the report of the supervisor and/or tutor for approval by the Academic Committee for PhD Programmes (CAPD). Improvements to the plan may be introduced with the approval of the supervisor and/or tutor based on the annual review of the student’s research progress.

Research plans are subject to annual review by the CAPD, including the report(s) of the supervisor and/or tutor and the candidate’s record of activities. Students will be permitted to continue with their studies if the outcome of the review is satisfactory. If the outcome is negative, the student will be required to submit a new plan within a period of six months. If the committee is still not satisfied, the candidate will be removed from the programme.

See also UDC PhD Policies and Regulations, Article 30: Research plan.

Student mobility

UDC holds student mobility agreements with universities and other third-level institutions across four continents. Students are offered several opportunities each year to apply to study abroad in one of these centres (for a single term or for a whole year), with the guarantee that all credits obtained will be duly recognised in their academic record upon their return.

For each round of applications, the University publishes the list of exchange options available to students and, where relevant, the specific conditions associated with each. Students may also apply to the University for funding for international work experience placements and internships.

Work experience placements are accredited in the student's academic record and the European diploma supplement. Students are free to decide in which host company or academic institution within the EHEA they wish to carry out their placement. To assist them in their search, the University has created an online noticeboard with jobs postings and other news.

Work-study placements in A Coruña are arranged by the International Relations Office (ORI) of the UDC in collaboration with the international relations coordinators in the student’s home university. The general entry criteria, rights and obligations of students, and admission and acceptance procedures for the programme, are regulated by the UDC Mobility Policy.