Quantum field theory (QFT) is a framework used to characterize and analyze a wide range of physical scenarios in particles physics, condensed matter physics, and cosmology. However, a persisting difficulty in the study of QFTs is their analysis when interactions become strongly coupled. Generalized symmetries have proven to be a particularly fruitful avenue for the study of such QFTs. Furthermore, by way of the conjectured absence of global symmetries in theories of quantum gravity, we are interested in the fate of such symmetries in theories coupled to gravity. The work of this thesis is rooted in these two ideas. In Part I, we study the generalized symmetries with charges described by the cobordism groups of spacetime manifolds with a spin structure and duality bundle given by the eight-dimensional U-duality group. Furthermore, by way of the Swampland cobordism conjecture, a sharpening of the theorem of no global symmetries, we determine the defects we must introduce into our theory to trivialize such symmetries. Part II of this thesis studies the generalized symmetries of QFTs engineered from the extra dimensions of string theory. In particular, we study the generalized symmetries of the strongly coupled non-supersymmetric QFTs resulting from compactifying Type II string theory on conical geometries.