The research of our group focuses on two complementary approaches to tackle the fundamental open problems of the Standard Model of particle physics. First, we develop new models beyond the Standard Model and study their phenomenological implications, focusing on neutrino masses and the strong CP problem. Second, we advance and apply computational methods to study strongly coupled quantum field theories, based on lattice field theory, tensor networks, deep learning, and quantum computing. While many of these methods currently focus on lower-dimensional theories, our long-term goal is to apply them to the (3+1)-dimensional Standard Model and beyond. For these projects, we collaborate with physicists, mathematicians, and computer scientists from academia and industry.