The 6G mobile research lab is focused on key aspects and challenges related to future mobile networks and emerging wireless technologies. Our research is oriented mainly on topics related to control and management layers. This covers mobility and radio resource management for self-optimizing and energy efficient networks. Furthermore, we address network architecture including Multi-Access Edge Computing (MEC), Cloud-Radio Access Network (C-RAN) and aerial nodes, such as drones, UAVs, HAPs, or satellites. We also tackle challenges in the area of multimodal semantic communications and computing. From a perspective of scenarios, the 6Gm research is oriented mainly on device-to-device (D2D) communication, vehicular communications, non-terrestrial networks, robotics, IoT, and heterogeneous networks. Our research covers theoretical aspects exploiting various optimization techniques, game theory, and machine learning/artificial intelligence. We also deliver practical verification of our ideas in the laboratory equipped with software defined mobile networks.