Ramsey Theory concerns the study of the existence of monochromatic structures in every coloring of a certain mathematical universe; since a coloring is actually a partition, Ramsey Theory can be understood as the study of the preservation of properties under set partitions. Many theorems in the area assert, crudely speaking, that complete disorder is an impossibility. In other words, every large set of points, numbers or objects necessarily contains a highly regular pattern.

The purpose of this talk is, on the one hand, to expose some of the most classic results in Ramsey Theory in order to convey the beautiful essence of it, and on the other hand, to present the Ramsey Theory variations that I like the most in order to convey the vastness of the field of investigation that we have left to enjoy.