Session on Combinatorial Design Theory at the 2025 CMS Winter Meeting

In the 18th century, several seemingly innocuous scheduling problems were proposed, often in the form of a puzzle. These problems were ultimately solved using tools and theoretical approaches that now lie in what is known as combinatorial design theory. Since then, this area of mathematics has seen tremendous growth in the diversity of designs, constructions, and applications that it encompasses. The purpose of this session is to showcase recent results in topics such as classical designs, cycle systems, graph decompositions, Latin squares and other aspects of design theory.