Several Complex Variables
The central theme of the field is the study of holomorphic functions and mappings, and the relationship between these and the geometry of the underlying space. The field is far reaching as one studies problems varying from mathematical analysis to complex/algebraic geometry, topology and complex dynamics.
About the group
The group consists of 2 permanently employed researchers and a varying number of post doc's, ph.d.-students and visiting researchers. We run a weekly seminar. The main activity of the group is at the moment within the following themes:
- Approximation theory and uniform algebras.
- Partial differential equations (the debar equation).
- Embedding problems (Riemann surfaces, and pseudoconvex domains).
- Topics in complex dynamics and iteration problems.
- Riemann surface laminations.
- Disk functionals.
Erlend F. Wold runs the NRC funded project "Holomorphic Approximation and Complex Geometry".
The group has a wide international network, and works especially closely with groups in Ann Arbor, Bern, Ljubljana, Amsterdam and Gothenburg. About 3 times per year we have national meetings with our colleagues in Bergen, Trondheim and Stavanger, and there is an annual nordic conference, NORDAN.
We are a part of the E-SCV Consortium (http://e-scv.fmf.uni-lj.si/), aiming to foster exchanges between Europe and Greater China.
Academic programmes and courses
MAT4800 - Complex analysis. Covers a variety of topics in one variable complex analysis.
MAT4810 - Introduction to Several Complex Variables.
We can give masters- and ph.d. assignments within the topics mentioned above, and we can also offer more specialized topics.