Singularities and Their Interaction with Geometry and Low Dimensional Topology

"Singularities and their interaction with geometry and low dimensional topology" is a comprehensive collection of review and original research articles that explore innovative perspectives and research directions at the intersection of algebraic geometry, topology, and singularity theory. The contributions come from leading researchers active in various topics within these fields. This publication is the result of the conference "Némethi60: Geometry and Topology of Singularities," which took place from May 27 to 31, 2019, at the Alfréd Rényi Institute of Mathematics in Budapest. The conference and the resulting volume are a tribute to Professor András Némethi on the occasion of his 60th birthday, whose work plays a crucial role in the interactions between the mentioned disciplines. The book is aimed at graduate students and researchers who wish to deepen their knowledge of new perspectives, methods, and connections between geometry and topology in the context of singularities.