TU Berlin Fakultät II
Institut für Mathematik

Geometry I (WiSe 15)



Geometry Group



Vergangene Semester


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Geometry I

(Winter 2015)

Lectures Prof. Dr. John Sullivan Tue 10-12 MA 144
Thur 10-12 MA 144
Tutorials Hanka Kouřimská Mon 14-16 MA 541
Wed 10-12 MA 541

This is a basic course of the Berlin Mathematical School and will be held in English. Depending on the audience one of the tutorials may be held in German.


Oral exams will be offered on Friday 3 June and Friday 10 June.


This course is an introduction to different flavors of geometry. Topics will include spherical, hyperbolic, projective, Möbius and Lie geometry.


  • Springborn, lecture notes from the 2007 version of this course at TU Berlin
  • Euclid, Elements: online with java or Greek beside English text
  • Prasolov & Tikhomirov, Geometry, TMM 200, Amer. Math. Soc.
  • Hitchin, lecture notes on Projective Geometry: Chapters 1&2,   3,   4,   5
  • Fuchs & Tabachnikov, Mathematical Omnibus
  • Klein, Vorlesungen über höhere Geometrie, GMW 22, Springer
  • Blaschke, Projektive Geometrie, Birkhäuser
  • Berger, Geometry I & II, Springer
  • Audin, Geometry, Springer
  • Coxeter, Non-Euclidean Geometry, Math. Assoc. Amer.
  • Cannon, Floyd, Kenyon & Parry, Hyperbolic Geometry, from Flavors of Geometry, MSRI
  • Martin, The Foundations of Geometry and the Non-Euclidean Plane, UTM, Springer
  • Henderson, Experiencing Geometry, Prentice Hall

Exercise sheets

Homework policy

  • To get a certificate for the tutorial, you need to satisfactorily complete 60% of the homework assignments.
  • The exercises are to be handed in in groups of two people. Depending on the number of students it might be possible to form groups of three.
  • The homework is due weekly at the beginning of the lecture on Tuesday. There will be NO possibility to hand in the exercises during or after the lecture!

Office Hours

Office hours Prof. John Sullivan Th 13:30–14:30 MA 802
Hanka Kouřimská Fr 9:00–10.30 MA 863

Hana Kourimska . 09.05.2016.