This is the third in a series of three courses on discrete geometry. This advanced course will cover a selection of topics from enumerative geometric combinatorics:

* Lattice structure of rational polyhedra
* Rational generating functions
* Hyperplane arrangements
* Applications to combinatorial number theory, poset theory, and partition analysis
 

Will be announced in class.

The target audience are students with a solid background in discrete geometry and/or convex geometry (en par with Discrete Geometry I & II). The topic of this course is a state-of-art of advanced topics in discrete geometry that find applications and incarnations in differential geometry, topology, combinatorics, and algebraic geometry.

Requirements: Preferably Discrete Geometry I and II.