Doctoral Programme in Mathematics

Field(s) of education and training (ISCED-F)

• Mathematics (0541)

Competences

Students that have completed the second cycle have the following competencies: – Have demonstrated knowledge and understanding that is founded upon a basis or opportunity for originality in developing and/or applying ideas, often within a research context. – Can apply their acquired knowledge and understanding, and problem solving abilities in new or unfamiliar environments within broader (or multidisciplinary) contexts related to their field of study. – Have the ability to integrate knowledge and handle complexity, and formulate judgments with incomplete or limited information, but that include reflecting on social and ethical responsibilities linked to the application of their knowledge and judgments. – Can communicate their conclusions, and the knowledge and rationale underpinning these, to specialist and non-specialist audiences clearly and unambiguously. – Have the learning skills to allow them to continue to study in a manner that may be largely self-directed or autonomous.

Name of title awarded in original language

Programa de Doctorado en Matemáticas

Qualification requirements

60 minimum credits

Research lines

Admission to Doctoral Programme (pending Approval/Submission of Doctoral Thesis Project)
Computational Commutative Algebra
Homological Algebra and Homotopy Theory
Noncommutative Algebra
Harmonic Analysis and Complex Variables
Functional Analysis, Banach Spaces and Algebras, Applications
Geometric Analysis
Differential Equations: Numerical Analysis and Applications
Statistics and Operational Research
Mathematical Foundations of Computation
Semi-Riemannian Geometry: Applications in Mathematical Physics
History of Mathematics
Theory of Approximation