In the 6G era, wireless connectivity is foreseen to be global, ubiquitous, and
massive. In addition to transforming every object in our life to an intelligent and
connected device, the proliferating 6G Internet of Everything (IoE) use cases (e.g., digital
twins, ubiquitous monitoring, precision agriculture, smart cities, wearable devices, etc.)
will bring massive numbers of heterogenous wireless devices to the already congested
spectrum. Many of the devices will utilize servers at the network edge or at the cloud to
carry out machine learning and computationally complex tasks. Most of the devices will
be deployed by consumers who are unaware of the underlying security risks. Such new
features call for novel and innovative techniques that jointly account for the
communications, computing, and security aspects of 6G. In this context, this talk will
discuss the challenges of the 6G era and will motivate a systematic and rigorous
mathematical approach to address them. To this end, several research directions will be
highlighted.