The programme is structured with coursework of 30 credits and a research component of 150 credits. The learning outcomes are partly covered by programmes which are further divided into three types: programme courses (10 credits), study courses (10 credits) and project courses (10 credits).
Programme courses (10 credits):
The following two programme courses are compulsory:
TN900 Philosophy of science and ethics (5 credits)
TN910 Innovation and project comprehension (5 credits)
Four study courses are offered:
ELE 904 Statistical signal processing (10 credits)
DAT 911 Foundations of computer science (10 credits)
MAF 900 Mathematical-physical methods (10 credits)
MAT 901 Functional analysis with applications (10 credits)
Students select one of these topics depending on their chosen specialization. Study courses from other universities can also be selected as long as the course covers the learning outcomes for the programme.
The content of project courses is customized according to the needs of the PhD project and carries a total of 10 credits:
DAT 930 PhD Project course in computer science
ELE 920 PhD Project course in cybernetics and signal processing
MAT 902 PhD Project course in mathematics
FYS 901 PhD Project course in physics
Learning outcomes will also be covered through completion of research documented by the doctoral thesis, disputation, participation in conferences with presentations, research/study abroad and preparation of scientific papers.
Description of the subject areas in the programme
The PhD programme in Information Technology, Mathematics and Physics is made up of the following areas:
- Cybernetics and signal processing
- Computer science
The PhD programme is connected with research within each of these specialist areas.
Signal processing involves research into adaptive filtering, signal compression, filterbanks/multirate theory and overcomplete signal representations. There are activities connected with classification and segmentation of images as well as motion estimation in video sequences. Furthermore, applications of signal processing to various signal/image types such as seismic signals, medical images, bio-electrical signals, audio signals, DNA sequences and various signals from measurement systems are addressed.
Cybernetics concentrates on research activities within modelling, identification, simulation and regulation of various types of processes. Work related to applications in the petroleum and light metal industries and vessel and robot control is also undertaken. Examples of such applications include process monitoring based on state estimation, simulation and regulation of petroleum production pipelines and model-based tuning of industrial robots.
Within computer science, research is connected with the development of new, open and globally-distributed information structures. Fundamental theories and methods as well as short term, practical applications and more long-term experimental applications are being explored.
Through our research we are seeking to investigate and utilize the interaction between practical challenges in the design of distributed computer systems and new theoretical insights into distributed algorithms.
We are focusing on the following areas:
- Cryptography, information security and error detection
- Distributed systems, algorithms and object-oriented software
- Internet, digital money and e-commerce
- Communication protocols and architectures for mobile computing
Within physics, research is carried out in the areas of general theoretical physics, energy and petroleum-related physics and diffraction physics. Within general theoretical physics, work is focussed on mathematical physics, the general theory of relativity, cosmology and astroparticle physics. Professionals who are experts in different areas of physics are associated with this section. Within energy and petroleum physics, research is related to modelling and studies in Computational Fluid Dynamics (CFD), non-Newtonian fluids and electromagnetic shielding, mechanical, magnetic and rheological properties of drilling fluids and flow in porous media.
Within diffraction physics, the main activity is associated with X-ray diffraction, theory and experiments, diffuse spread, determining chirality in non-perfect light-atom compounds, studies of nanoparticles deposited in the solid phase and diffractometry. Experimental work is carried out at the European Synchrotron Radiation Facility (ESRF) in Grenoble, France.
Research activities within mathematics occur mainly in the following areas:
- Applied mathematics: Research is carried out in such areas as differential geometry and the general theory of relativity, mathematical physics and mathematical modelling of fluid flow in porous media.
- Analysis: Analysis involves multidimensional complex analysis including pluripotential theory and harmonic analysis.
- Algebraic geometry: Research is conducted in areas such as the geometry of special classes of algebraic varieties and moduli spaces, Often with basis in ideas from theoretical physics.
- Statistics: Research is conducted into areas such as statistical methods for time series analysis, modelling of multivariate dependencies, path analysis, statistical process control, medical statistics and risk and reliability analysis.