The Szekeres Theorem is a result in the field of mathematics, specifically in combinatorial geometry. It states that in any set of points in the plane, if the number of points exceeds a certain threshold, there will always be a subset of points that form a convex polygon. This means that no matter how the points are arranged, a convex shape can be found among them. This theorem is significant because it provides insight into the arrangement of points and their geometric properties. It has applications in various areas, including computer science and optimization, where understanding point configurations can lead to more efficient algorithms and solutions.