General description:

The Geometry of Numbers studies distribution of lattice points in the n dimensional space, for instance, existence of lattice points in various domains and existence of integral solutions of polynomial inequalities. This subject is also closely related to the Theory of Diophantine Approximation which seeks good rational approximations for real vectors.

Exercise Classes:

There is no exercise classes the first week.

Homeworks:

Weekly homework sheets will be assigned. Homeworks are due Fridays, 12:00pm. The first homework is assigned on February 23 and due on March 1.

Solultions should be uploaded electronically at http://www.math.uzh.ch/my

Exam:

The final grade consists of Homework (30%), Mini-Project at the end of the course (30%), and Oral Exam (40%).

References:

• Cassels, An introduction to Diophantine Approximation.
• Cassels, An introduction to the Geometry of Numbers.
• Schmidt, Diophantine approximation.
• Siegel, Lectures on the Geometry of Numbers.