Analytic Combinatorics is a branch of mathematics that uses techniques from complex analysis to study combinatorial structures. It focuses on counting the number of ways to arrange or select objects, often using generating functions to encode information about these structures. This field combines combinatorial methods with analytic tools to derive asymptotic estimates and exact formulas for counting problems. By analyzing the properties of generating functions, mathematicians can uncover deep relationships between different combinatorial objects, leading to insights in areas such as graph theory and number theory.