Introduction to Diophantine Approximation

Tel Aviv University, Fall 2021
Tuesdays 10:10-13:00, Schreiber building room 7

	Access	The course will be recorded and broadcast on zoom. Here is the Link to Zoom broadcast of the meetings (passcode: S217pd).
	Grading	This is the final problem list . Please submit your solutions by email, by March 20, 2022.
	Recordings of lectures	Lectures will be recorded and available on the TAU moodle system for the course. If you want to see the recordings and don't have a TAU account please send me an email.
	Books	J. W. S. Cassels, An introduction to Diophantine approximation, Cambridge University Press Wolfgang M. Schmidt, Diophantine approximation, Springer Lecture notes 785 Vladimir G. Sprindzhuk, Metric theory of Diophantine approximations, Chap. 1 , Halsted Press, translated from Russian.
	Notes	Notes (in Hebrew) for a course given in Tel Aviv in Spring 2013. Notes taken by Yoni Rosenshein. Here is the link to 2013 course webpage. Online notes for a course given by Dmitry Kleinbock at Brandeis in 2007 and 2010. Proof of a Proposition which I stated at the end of the lecture of 26.10. Some things I didn't state properly or finish in the lecture of 14.12. A survey article by Caroline Series about continued fractions, Markov spectrum, and geodesics on the space of lattices. A short and amusing video about Farey sequences, by Francis Bonahon. Pictures Ford circle packing and triangle tiling of the hyperbolic plane, associated with the Farey sequence.