Explore the elegant world where complex analysis meets geometry! This course offers a deep dive into the geometry of Möbius transformations which are fundamental symmetries the Riemann sphere. Whether one is interested in complex analysis, geometry, or the foundations of modern mathematical physics, this course provides a journey through one of mathematics' most beautiful structures. Basic prerequisite that is needed to follow this course would be familiarity with complex numbers, basic group theory, general topology and introductory real analysis.
INTENDED AUDIENCE: BS-MS students, Ph.D students, Anyone with a Bachelor level Math background who wants to learn this.
PREREQUISITES: Basic linear algebra, general topology and group theory.