This is the third in a series of three courses on discrete geometry. This advanced course will cover a selection of the following topics (depending on the interests of the audience):
1. Oriented Matroids along the lines of the book Oriented Matroids by Björner, Las Vergnas, Sturmfels, White, and Ziegler; and/or
2. Triangulations along the lines of the book Triangulations by de Loera, Rambau, and Santos; and/or
3. Discriminants and tropical geometry along the lines of the book Discriminants, Resultants, and multidimensional determinants by Gelfand, Kapranov, and Zelevinsky; and/or
4. Combinatorics and commutative algebra along the lines of the book Combinatorics and commutative algebra by Stanley.