Explore a 40-minute lecture on the well-posed formulation of gravitational effective field theories presented by Harvey Reall from Cambridge at the Kavli Institute for Theoretical Physics. Delve into the impact of gravitational wave detection on various physics disciplines and the growing connections between field theorists and classical relativists. Examine the challenges in precision modeling of gravitational-wave signals for interpreting strong events and searching for new physics. Learn about the conference's focus on bringing together experts from classical relativity, effective field theory, and scattering amplitudes to address future experimental needs and emerging techniques. Cover topics including motivation, effective field theory, well-posedness problems, field redefinitions, scalar fields, Einstein-Maxwell theory, gauge fixing, modified harmonic gauge, numerical simulations, and high-dimensional gravity.