Paul Koebe

Paul Koebe was a German mathematician known for his work in complex analysis, a branch of mathematics studying functions of complex numbers. He made significant contributions to conformal mapping, which involves smoothly transforming shapes in a way that preserves angles. Koebe developed important theorems, including the Koebe 1/4 theorem, which provides bounds on how these functions behave locally. His work helps in understanding how complex shapes can be analyzed, transformed, and represented mathematically, with applications in fields like engineering, physics, and computer graphics.