Before revision: We show that the Tverberg numberof \mathbb{Z^d and the intersection of convex hulls is required to have a non-empty intersection with S).
After revision: This paper discusses Tverberg-type theorems with coordinate constraints (i.e., versions of these theorems where all points lie within a subset S \subset \mathbb{R^d and the intersection of convex hulls is required to have a non-empty intersection with S).