Explore higher data structures in mathematics through this 27-minute video lecture. Delve into the four key types of data structures: lists, ordered sets (osets), multisets (msets), and sets. Learn how to combine these types in nested fashions, such as lists of lists or sets of msets, to create a wealth of mathematical objects. Gain insights into the flexibility and importance of these structures in combinatorics, graph theory, linear algebra, and group theory. Examine examples, historical context, and challenges associated with complex data structures. Discover how this approach enhances understanding of various mathematical areas and provides a foundation for advanced concepts.