Doctoral Programme in Physics and 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.

Qualification requirements

60 minimum credits

Research lines

Biomathematics, Biophysics, Cell and Tumour Dynamics, Pattern Formation and Ecology
Hadronic Physics: Monte Carlo Study of Spin System Phase Diagrams
Admission to Doctoral Programme (pending Approval/Submission of Doctoral Thesis Project)
Theoretical Physics: Physics in More than Four Dimensions
Physics of Information, Atoms in External Fields, Approximation Theory
Probabilistic Models and Inference in Stochastic Processes
Numerical Resolution of PDEs, Non-Linear Equations and Numerical Methods, Numerical Models of Biological and Geophysical Fluids
Computational Physics, Numerical Electromagnetics and Natural Electromagnetic Phenomena
Stellar Astrophysics, Stellar Evolution, and Supernovae
Galactic Astrophysics, Radio Astronomy, Interstellar Medium, Galactic Structure and Star Formation
Cosmology, Cosmic Microwave Background and Large-Scale Structure
Evolution Partial Differential Equations, Kinetic and Quatum Equations, Fluid Mechanics, Relativity and Variational Methods
Dynamical Systems, Hamiltonian Dynamics, Qualitative Theory of Differential Equations, Optimisation and Variational Methods, Non-Linear Analysis and Elliptic Equations
Minimal Surfaces, Constant Mean Curvature Surfaces, Isoperimetric Inequalities, Geometric Measure Theory and Heisenberg Groups
Geometry and Dynamics of Relativistic Particles and Strings: Lorentzian Geometry and Gravitation
Quantum Theory of Non-Linear Fields, Infinite-Dimensional Group Representation, Quantisation of Gauge Theory, Quantum Gravity and Mathematical Physics
Cooperative Phenomena in Statistical Physics: Interdisciplinary Theory and Applications. Theory and Simulation of Complex Systems
Associative Algebras: Formal and Effective Methods. Finitely Generated Monoids, Homotopy Theory, Computational Algebra, Hopf Algebras and Quantum Groups

Erasmus+ Incoming
Functional Analysis, Fourier Analysis, Infinite-Dimensional Geometry, Operator Algebras: C* Algebras

Admission information

Specific admission requirements

Admission to doctoral programmes requires a minimum of 300 ECTS credits in official university studies, of which at least 60 must be at Master’s level.
If access to the doctoral programme depends on the recognition of the possession of a specific Master’s degree, this fact may be specified.