Geometric topology explores the intricate relationships between geometry and topology, focusing on studying manifolds and their embeddings in various dimensions. This talk surveys the latest research developments from UT Austin, highlighting recent advances and innovations shaping the field. We will provide a review of key concepts, techniques, and current trends in geometric topology. We begin by revisiting foundational topics such as the classifications of topological 4-manifolds, exotic phenomena, and the study of knots and links.