A group is said to fiber algebraically if it admits a homomorphism onto the infinite cyclic group with finitely generated kernel. Recently, Kielak generalised the work of Agol to show that algebraic fibering is detected by the vanishing of L2-homology in groups which satisfy the so-called RFRS condition. The main focus of this talk is to discuss interesting consequences of admitting algebraic fibrations for groups, with applications ranging from finding exotic subgroups of hyperbolic groups, to analysing the geometry of groups whose (co)homology satisfies a Poincaré–Lefschetz duality.