Category theory is a mathematical discipline that has become increasingly important in recent years, particularly in the study of algebraic structures and geometry. There are several synonyms for this term, including abstract algebraic and geometric theory, structural mathematics, and categorical algebra. Each of these phrases captures a different facet of the field, from its focus on abstraction and generalization to its emphasis on commonalities and relationships between seemingly disparate objects. Regardless of the label used, category theory is a powerful tool for exploring the deep connections and fundamental structures that underlie much of mathematics, science, and even philosophy.