Materials with strong electronic correlations are amongst the most intriguing topics at the forefront of research in condensed matter physics. On the one hand, they exhibit fascinating phenomena like quantum criticality and high-temperature superconductivity, bearing a high potential for applications. On the other hand, they are theoretically very appealing due to their limited understanding, even on the very fundamental level. Within the research group “Theory of Strongly Correlated Quantum Matter”, starting from September 2020, the frontier of this fundamental understanding is pushed by applying cutting-edge numerical quantum field theoretical methods to quantum critical systems, high-temperature superconductors, Mott insulators and magnetically frustrated systems, both in the purely model (Hubbard model, periodic Anderson model) as well as material oriented (heavy fermions, cuprates, organics) context.