QFT techniques are routinely applied to systems with boundaries and defects, often with remarkable success. However, in systems with strong interactions many of the important questions remain intractable. Luckily, the rapid development of novel approaches to strongly-interacting QFTs opens a new avenue to study boundaries, defects and impurities. Prominent examples include the Anti-de-Sitter/Conformal Field Theory correspondence and holographic duality, integrability, the conformal bootstrap, non-perturbative supersymmetry methods, the use of entanglement entropy and other quantum information measures, anomalies and higher-form symmetries, hydrodynamics of QFTs, and more.