Algebraic combinatorics is a branch of mathematics that combines techniques from algebra and combinatorics to solve problems related to counting, arrangement, and structure. It often involves the study of polynomial functions, graphs, and matrices to analyze combinatorial objects and their properties. Researchers in algebraic combinatorics explore various topics, such as partitions, permutations, and design theory. They use algebraic methods to derive formulas and theorems that provide insights into the behavior of combinatorial structures, making it a valuable field for applications in computer science, statistics, and optimization.