Advanced Complex Analysis

An advanced course in complex analysis.

The course covers: Generalisations of Cauchy's integral formula, analytic continuation, normal families and the Riemann mapping theorem, special classes of conform maps, complex differential equations, and by the teacher for each course instance chosen applications, where the applications can be chosen among:

  • Hardy spaces
  • Boundary behavior of analytic functions
  • Riemann-Hilbert problems
  • Harmonic functions and harmonic measure
  • Infinite products of analytic functions

This course is given jointly with KTH, and information about schedule, course literature etc. can be found on KTH's pages - see links below.

The course consists of one element.


Teaching Format

Instruction consists of lectures.


Assessment

The course is assessed through written assignments and a written and oral exam.

Examiner

A list of examiners can be found on

Exam information

The schedule will be available no later than one month before the start of the course. We do not recommend print-outs as changes can occur. At the start of the course, your department will advise where you can find your schedule during the course.

Schedule for SF2745 at KTH

Note that semesters do not always start on the same day at Stockholm University and KTH, so this course may begin before the official first day of the semester at Stockholm University.

Note that the course literature can be changed up to two months before the start of the course.
Course reports are displayed for the three most recent course instances.


New student
During your studies

Note that if you have applied to and are admitted to this course, you register for the course at Stockholm University, not KTH.

Course web

The course web can be found at KTH. Registered students get access to the KTH course web in Canvas.