Geometry III/V

2025/26

Textbook:

• V. V. Prasolov, V. M. Tikhomirov, Geometry, American Maths. Soc., 2001. (the e-book is available on Ultra (see "Reading List")

Further reading and some on-line resources on geometry

Who is who

Preliminary course content (subject to change):
Michaelmas topics: Euclidean geometry, spherical geometry, affine and projective geometries;
Epiphany topics: Möbius transformations, hyperbolic geometry, further topics (geometric surfaces, discrete groups).

Schedule:

Michaelmas:
• Week 1: Introduction. Axioms: Euclid and Hilbert.

Assignments:
- There will be 4 sets of marked assignments during each term (to submit through Gradescope by 5pm of first Monday after weeks 3,5,7,9 and 14,16,18,20). --
- There will be also weekly unmarked sets of exercises. Please solve them timely!
- In addition, there will be additional reading material for MSc students.

Assignments:


Week #	Questions	Hints	Due date: Mon noon	Solutions	Feedback
1-2			October 27
3-4			November 10
5-6			November 24
7-8			December 8
9-10			----

Lecture Notes: (Material to be added during the term)

• Lecture notes