Doctoral Programme in Mathematics

• Summary
• Structure
• Organisation
• Competencies
• Admission
• Research lines
• Quality

Basic competencies:

1. Systematic understanding of a field of study and mastery of the skills and methods of research associated with 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 carry out a critical and assessment analysis and synthesis of new and complex ideas.
5. 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.
6. Ability to promote, within academic and professional contexts, scientific, technological, social, artistic or cultural advancement in a knowledge-based society.

Personal abilities and skills:

1. Knowing how to navigate in contexts where there is little specific information.
2. Finding the key questions that must be answered to solve a complex problem.
3. Designing, creating, developing and launching new and innovative projects in their field of knowledge.
4. Working both in team and independently in an international or multidisciplinary context.
5. Integrating knowledge, handling complexity, and making judgments with limited information.
6. The criticism and intellectual defence of solutions.

Other competencies:

1. To develop the ability of handling bibliographical mediums, data bases, etc. for locating previous development on a topic of interest.
2. Ability to present their works, communicating their conclusions and relate to the international mathematic community.
3. Ability to write a report of a work completed, properly.
4. Ability to raise and to solve high level problems in Mathematics and its applications.
5. Systematic understanding and development of skills and work methods related to some of the research lines of the programme, in the field of Mathematics.
6. Ability to make original contributions which deserve to be published in prestigious media in the field of Mathematics.
7. To develop learning skills, critical analysis, and synthesis for dealing autonomously with new research topics in the field of Mathematics.