# Patricio Gallardo

As a mathematician, I want the beauty and structure of math to resonate into the mind of others. I hope for them to see, through art, the geometric shapes that I find in my work, so everyone knows about this mathematical land so full of wonders.

A central problem in Geometry is to construct complete databases,
or colonies, of geometric objects. These databases are known as
moduli spaces. In this painting, we explore the moduli space of
cubic surfaces obtained with Geometric Invariant Theory and first
described by Hilbert in 1893. The cubic surfaces are represented
here

by white balls. Red dots represent their singular points. A closer
look reveals some of the 27 lines that every smooth cubic surface
contains and the variation among them represents the four
dimensions of the moduli space. Finally, we include, at the
center, the unique point associated with more than one type of
cubic surfaces.