Geometric Analysis is a field 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 properties like curvature and volume. This discipline is particularly useful in understanding the behavior of partial differential equations on manifolds, which are spaces that generalize the notion of curves and surfaces. Researchers in geometric analysis explore various applications, including general relativity and string theory, where the geometry of space plays a crucial role in physical theories.