Objectives and competences

 

The doctoral programme in Mathematics and Computer Science comprises a set of activities through which students acquire advanced training in the field and produce a doctoral thesis in one of the associated research areas. It is organized by the UB's Faculty of Mathematics and Computer Science. 

 

The programme consists of eight lines of research, whose researchers belong to consolidated groups recognized by the Government of Catalonia, and which also receive the support of Spanish and European grants, which allow great scope for national and international collaborations. 

 

Our research lines are: Commutative Algebra and Algebraic Geometry, Stochastic Analysis, Mathematical Analysis, Computational Science, Differential Geometry and Topology,  Mathematical Logic, Dynamical Systems, and Number Theory. 

Basic information

TypeDoctoral program
Faculty or schoolFaculty of Philosophy
Faculty of Mathematics and Computer Science
Branch of knowledge
  • Sciences
Number of places available20
CoordinationAlejandro Haro Provinciale
E-mailalex.haro@ub.edu
Phone934021634
EDUB detailsIndicators

Objectives and competences

Objectives

Competences

Doctoral studies guarantee, as a minimum, the acquisition by the doctoral candidate of the following basic competences as well as those others that appear in the Spanish Higher Education Qualifications Framework:
a) Systematic understanding of a field of study and mastery of the skills and research methods related to this field.
b) Ability to conceive, design or create, implement and adopt a substantial research or creative process.
c) Ability to contribute to extending the frontiers of knowledge through original research.
d) Ability to carry out critical analysis and evaluation and synthesis of new and complex ideas.
e) Ability to communicate with the academic and scientific community and society in general about their areas of knowledge in the ways and languages commonly used in the international scientific community.
f) Ability to promote, in academic and professional contexts, scientific, technological, social, artistic or cultural progress in a knowledge-based society.

Admission pathways

Access

In general, to access an official doctorate program you must have an official Spanish bachelor's degree, or equivalent, and a university master's degree and have passed a minimum of 300 ECTS credits in all university degree and master's studies. It can also be accessed by anyone who is in any of these cases:

          
  • Be in possession of official Spanish university degrees or equivalent Spanish degrees, provided that at least 300 ECTS credits have been passed in the set of these courses, accrediting level 3 of the Spanish Qualification Framework for Higher Education.

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  • Be in possession of a title obtained in accordance with foreign educational systems belonging to the European Higher Education Area (EEES), without the need for it to be approved, which accredits a level 7 of the European Qualifications Framework, provided that this title is valid for to access doctoral studies in the country of dispatch. This admission does not imply, in any case, the approval of the previous title that the interested party is in possession of or the recognition for other purposes than that of accessing doctoral studies.

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  • Be in possession of a degree obtained in accordance with foreign educational systems outside the EEES, without the need for it to be approved, after verification by the University of Barcelona that this degree accredits a level of training equivalent to the official Spanish master's degree university and which, in the country of dispatch, entitles you to access doctoral studies. This admission does not imply, in any case, the approval of the previous title that the interested party is in possession of or the recognition for other purposes than that of accessing doctoral studies.

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  • Be in possession of another doctoral degree.

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  • Equally, university graduates who, after obtaining a place in training through the corresponding test for access to specialized health training places, have passed with a positive evaluation at least two years of training in a program to obtain the title, can access official of one of the specialties in health sciences.

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  • The graduates, architects or engineers who were in possession of the diploma of advanced studies obtained in accordance with what was established in Royal Decree 778/1998, of April 30, or who had reached the research sufficiency regulated in Royal Decree 185/ 1985, of January 23.

Admission requirements

Ideally, candidates will have successfully completed an official EHEA master's degree in a subject related to one of the programme's research areas. Candidates should have a good academic record and show signs of sufficient motivation and preparation to carry out their own research in mathematics or computer science.
Prospective students must complete the application form and indicate their previous studies and the research area in which they want to work. The following documents must also be submitted:

- Bachelor's and master's degrees that grant access to the programme.
- Academic certificate for the master's degree.
- Curriculum vitae.
- Official certification of language proficiency in English or in one of the UB's official languages.
- Short statement indicating the candidate's reasons for applying to the doctoral programme and expectations of the experience (approximately one page).

In accordance with the UB Doctoral School's internal regulations, decisions on admission are taken by the Academic Committee for the doctoral programme in question. The following aspects of the candidate's record will be assessed, and weighted as shown:

- Academic record for the master's degree (70%).
- Compatibility of the candidate's profile with the doctoral programme and chosen research area (10%).
- Knowledge of English or one of the UB's official languages (10%).
- Other merits, as indicated in the curriculum vitae (10%).

Depending on the strength of the candidate's academic record and the assessment of other merits, the Academic Committee may request a personal interview to complete its appraisal.

Doctoral theses may be carried out part-time or full-time. There is no limit to the number of doctoral students registered for each option. Part-time doctoral students will complete the same activities as full-time students, but over a longer period of time.

Enrolment

You can find all the information and enrolment prices at the Doctoral School

Lines of research and teaching staff

Research lines

101257 - Commutative algebra and algebraic geometry
101258 - Stochastic analysis
101259 - Mathematical analysis
101260 - Computer sciences
101261 - Differential geometry and topology
101262 - Mathematical logic
101263 - Dynamical systems
101264 - Number theory

Research plan and progress reports

You can find all the information at the following links:

Training activities

Programme-specific training activities 

  • Specific training for the doctoral thesis generally provided by the thesis supervisor and the host research group. 

  • Development of transferable skills related to research and professional life provided by the UB's Institute for Professional Development (IDP-ICE). 

  • Attendance and participation in courses, seminars and conferences. 

 

 

Please visit: mat.ub.edu/doctorat/informacio-academica/activitats-formatives/. 

  • Youth mathematics seminar (SIMBa), organized by postgraduate students in the Barcelona area. 

 

Doctoral thesis

Career opportunities

What can you work on ?

PhD graduates in our program find their jobs in universities, companies and public or private research centres, both national and international.
While a few years ago the main job of Mathematics research lines was the academic career, now it is common for our doctors to also access jobs in the computer or financial sectors, data analysis, among others. Their ability of abstraction and versatility are highly sought after qualities.
Our graduates in the line of Computer Science assume successfully responsibilities of creation, advice and design. They are able to lead transformative projects in artificial intelligence and data analysis in R&D
centres and companies, act as CEO and CTO of startups and develop a scientific career in prestigious universities and research centres.

Contact us

PhD coordination: alex.haro@ub.edu

Phone: 934 021 634