Complex Analysis in Several Variables
About
In this course you will study functions of several complex variables that are complex differentiable in a suitable sense. Similar to the situation of one complex variable, complex differentiability is a much stronger notion than real differentiability. This makes it possible to develop tools and obtain results that would not extend to the real setting.
Complex analysis in several variables is a field that has seen great development during the last century and there are connections to several parts of modern mathematics, like analysis, algebra, geometry, and topology. In the course you will study various central concepts and methods within the field.
Although much of the basic theory of several complex variables can easily be derived from the one-dimensional setting, there are phenomena, like the famous Hartogs’s phenomenon about extensions of complex differentiable functions, that occur only in higher dimensions. During the course you will learn about this and other examples that illustrate that the theory of complex variables in many ways essentially differs from the theory of one complex variable.
The course is given every other year, in the spring semester in even-numbered years.
This course is open to
Exchange students at the Faculty of Science and exchange students on a university-wide agreement. Please contact your international coordinator at the University of Gothenburg if you need to know more.
Entry requirements
General entry requirements and the equivalent of 90 credits in mathematics, including the equivalent of the course MMG700 Analytic Function Theory.
English proficiency
Incoming students should have an English level equivalent of B2 or higher as courses and materials, including presentations and exams, will be in English.
To assess your English level, you can use the self-assessment grid for reference.
Application
Do you want to apply for exchange studies at the University of Gothenburg?