The Signal Processing and Communications (SIGCOM) group of SnT, University of Luxembourg, headed by Prof. Chatzinotas, focuses on the formulation, modelling, design, and analysis of 6G communication networks that can support innovative services in a cost-efficient manner. Use cases of interest include IoT verticals, unmanned aerial vehicles, integrated satellite-terrestrial networks, quantum communications and key distribution, spectrum management and coexistence, tactile Internet, and autonomous transportation. As far as technical enablers are concerned, we leverage expertise on massive MIMO cell-free communications, smart-radio environments using intelligent surfaces, machine-type and ultra-reliable and low-latency communications, edge computing & caching, RAN slicing, and network softwarization & virtualization. Finally, due to the large-scale nature, complexity, and heterogeneity of 5G and beyond networks, for their analysis and optimization we use mathematical tools such as machine learning, graph theory and graph-signal processing, multivariate statistics and convex/non-convex optimization.