Higher Category Theory is an extension of traditional category theory that studies categories with more complex structures. In standard category theory, objects and morphisms (arrows) are the primary focus. Higher category theory introduces higher-dimensional morphisms, allowing for relationships between morphisms themselves, leading to a richer framework for understanding mathematical concepts. This theory has applications in various fields, including topology, homotopy theory, and theoretical computer science. It provides tools for analyzing and constructing mathematical structures that involve multiple layers of relationships, enhancing our understanding of how different mathematical entities interact in a more nuanced way.