Beaty's Work (Mathematics)

Beaty's work in mathematics, particularly in algebraic topology, focuses on understanding shapes, spaces, and their properties through abstract mathematical tools. She explores how complex structures can be categorized and compared using concepts like homology and cohomology, which analyze features such as holes and connectivity. Her research helps to reveal deep insights into the underlying structure of mathematical spaces, impacting fields like data analysis, physics, and computer science. By developing new methods and theories, Beaty advances our ability to model and analyze complex systems in a rigorous, systematic way.