The UK-QFT meetings provide a unique opportunity to bring together researchers from the UK communities (and overseas), who are working at the forefronts of quantum field theory (QFT) and quantum gravity research across high-energy physics, cosmology and astroparticle physics. Thus, the meetings function as a valuable platform for knowledge exchange and collaboration within the UK-QFT community. Past topics have covered both perturbative and non-perturbative aspects of QFT, and included, for example, scattering amplitudes, the quantum effective action, functional renormalization group approaches, non-equilibrium phenomena, phase transitions and topological defects – all from the mathematical perspective of the underlying QFT description.