TU Berlin Fakultät II
Institut für Mathematik

Geometry I



Geometry Group



Vergangene Semester


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Geometry I (Winter 2016 / 2017)

Lectures Alexander Bobenko Mon 14-16 MA 141
Thu 10-12 MA 144
Tutorials Jan Techter Thu 14-16 MA 841
Fri 10-12 MA 376


Non-euclidean geometry: projective, hyperbolic, Möbius.

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

Lecture notes for WS16/17 by Alexander Bobenko


[2017, February 09]
The lecture notes for this semesters course are now available for download from this page.
[2017, January 25]
There will be 13 exercise sheets this semester with a total number of 208 points.
[2017, January 04]
No tutorials on January 05 and 06.
[2017, January 02]
No office hour of Jan Techter on January 03.
[2016, December 29]
Error on Exercise Sheet 5, Exercise 1 (i): $x$ has to replaced by $p$.
A corrected version of the Exercise Sheet is online now.
You may hand in Exercise 1 together with Exercise Sheet 6.
[2016, October 07]
First lecture on Thursday, October 20.
First tutorials in the second week.

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.
  • The homeworks are due weekly at the beginning of the lecture on Thurday.
    Late homeworks are accepted only with medical excuse.


  • Lecture notes by Boris Springborn
  • Blog Geometry I WS12 by Thilo Rörig
  • Nigel Hitchin's lecture notes on Projective Geometry.
  • V. V. Prasolov & V. M. Tikhomirov. Geometry. Translations of Mathematical Monographs, 200. American Mathematical Society, Providence, RI, 2001.
  • Felix Klein. Vorlesungen über höhere Geometrie. Grundlehren der Mathematischen Wissenschaften, 22. Springer-Verlag, Berlin, 1968.
  • Wilhelm Blaschke. Projektive Geometrie. Birkhäuser, Basel, 1954.
  • Dmitry Fuchs & Serge Tabachnikov. Mathematical Omnibus: Thirty Lectures on Classic Mathematics. American Mathematical Society, Providence, RI, 2007. Preprint.
  • Marcel Berger. Geometry. I & II. Springer-Verlag, Berlin, 1987.
  • Michèle Audin. Geometry. Springer-Verlag, Berlin, 2003.
  • H. S. M. Coxeter. Non-Euclidean Geometry. Mathematical Association of America, Washington, DC, 1998.
  • J. W. Cannon, W. J. Floyd, R. Kenyon, R. Parry. Hyperbolic Geometry. In: S. Levy (editor). Flavors of Geometry. Mathematical Sciences Research Institute Publications 31. Cambridge University Press, Cambridge, 1997. Pages 59-115. Download PDF from the MSRI.
  • D. V. Alekseevskij, E. B. Vinberg, A. S. Solodovnikov. Geometry of spaces of constant curvature. In: E. B. Vinberg (editor). Geometry II. Encyclopedia of Mathematical Sciences 29. Springer, Berlin, 1993. Pages 1-138.

(This list is not ordered according to any relevant criteria.)

Office hours

Alexander Bobenko Thu 13-14 MA 881
Jan Techter Tue 13-14 MA 883

Jan Techter . 16.02.2017.