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Explore recent advancements in massive gauge and gravity scattering amplitudes through this comprehensive lecture. Delve into compactified Kaluza-Klein (KK) theories with both flat and warped extra dimensions, as well as 3d Chern-Simons theories. Examine geometric mass generation via KK compactifications and topological mass generation through Chern-Simons mechanisms. Gain insights into S-matrix formulations using gauge and gravity equivalence theorems. Discover the establishment of double-copy constructions for massive graviton scattering amplitudes. This in-depth presentation offers a thorough review of cutting-edge research in the field of particle physics and gravitational theory.