This collaborative research center is a joint initiative of the departments of Mathematics and Physics of the University of Hamburg, DESY Hamburg, and the Technical University of Munich. It provides a vibrant and focussed research environment connecting the three core areas higher structures and (topological) quantum field theories, integrability of non-perturbative effects in quantum field and string theories and deformations and asymptotics of moduli spaces. The project is currently within its first funding period running from April 1, 2024 until December 31, 2027.