TU Berlin Fakultät II
Institut für Mathematik

Complex Analysis



Geometry Group



Vergangene Semester


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Complex Analysis (Summer 2019)

Lectures Alexander Bobenko Mon 12-14 MA 141
Thu 12-14
MA 141
Tutorials Jan Techter Thu 14-16 MA 650
Thu 16-18 MA 744


Analysis of functions of one complex variable: holomorphic functions, Möbius transformations, power series, Cauchy's integral theorem, zeros and singularieties, meromorphic functions, Laurent series, analytic continuation, residues, Riemann mapping theorem, partial fraction decomposition.

This is a course of the Berlin Mathematical School held in english or deutsch (depending on the audience).


The topics relevant for examination are everything until (and including) the Riemann mapping theorem.
This excludes elliptic functions.
Exams are set for August 05 and August 02.
You can register at the office of Kati Gabler, MA873.
There will be 10 exercise sheets with a total number of 210 points.
Because of the holiday on May 30 the 6th exericse sheet will be due June 06, one week later,
and contain six exercises with a total of 30 points.
First lecture on Tuesday, April 08.
First tutorial on Thursday, April 18.

Exercise sheets

Homework policy

  • To get a certificate for the tutorial, you need to satisfactorily complete 50% of the homework assignments.
  • The exercises are to be solved in groups of two people.
  • Your hand-ins have to be STAPLED TOGETHER and contain names and matriculation numbers of all members of the group.
    We strongly reccommend you to hand in the homework in readable writing, since unreadable writing will not be corrected.
  • The homeworks are due weekly on Thursday before(!) the start of the lecture.


  • Alexander Bobenko, lecture notes
  • Dirk Ferus, lecture notes
  • Jänich, Funktionentheorie. Eine Einführung.
  • Ahlfors, Complex Analysis.
  • Lang, Complex Analysis.
  • Needham, Visual Complex Analysis (also translated as: Anschauliche Funktionentheorie.)

Office hours

Alexander Bobenko Thu 14-15 MA 881
Jan Techter TBA MA 883

Jan Techter . 01.08.2019.