Geometric analysis is a branch of mathematics that combines techniques from geometry and analysis to study geometric structures using analytical methods. It often involves the examination of shapes, curves, and surfaces, focusing on their properties and relationships. This field is particularly useful in understanding complex shapes and their behavior under various conditions. Researchers in geometric analysis may explore topics such as Riemannian geometry, which studies curved spaces, and partial differential equations, which describe how geometric properties change. The insights gained from this field have applications in physics, engineering, and computer science, enhancing our understanding of both theoretical and practical problems.