Explore new approaches to the hierarchy problem in particle physics through this comprehensive lecture by Nathaniel Craig at the Institute for Advanced Study. Delve into topics such as technical naturalness, direct naturalness, quadratic divergence, and Wilsonian effective field theory. Gain insights into the Standard Model, toy models, and matching functions as Craig presents innovative perspectives on addressing one of the fundamental challenges in theoretical physics. Enhance your understanding of particle physics at the LHC and beyond in this 1 hour 34 minute talk, part of the Prospects in Theoretical Physics series.