The “Topological, Metric and Algebraic Equisingularity Theory” project will be carried out at IMI-BAS. Its aim is to help Dr. Rangachev establish a research group in singularities. Dr Rangachev will be assisted in this endeavor by Prof. Norbert A'Campo (University of Basel) and Prof. Zsolt Patakfalvi (EPFL). The project will fund several postdoctoral positions, graduate students, a singularities seminar, research trips for the team members, and conferences in singularity theory that will be held in Bulgaria.