Lecture notes:
Lecture 1: What are toric varieties?
Lecture 2: Lattices, Cocharacters and limit points, part I
Lecture 3: Cones and affine toric varieties, part I
Lecture 4: Cones and affine toric varieties, part II
Lecture 5: Faces and opens, fans and toric varieties, part I
Lecture 6: Fans and toric varieties, more examples
Lecture 7: Toric ideals and monomial parametrizations
Lecture 8: Completeness and saturation, closed points of affine varieties, limit points part II
Lecture 9: Distinguished points are limit points, definitions of smoothness
Lecture 12: Proof of resolution of singularities for toric surfaces. Cyclic quotients.