PT Journal AU LISA Cosmology Working Group (Auclair, Pea Figueroa, DG TI Cosmology with the Laser Interferometer Space Antenna SO Living Reviews in Relativity JI Living Rev. Relativ. PY 2023 BP 5 - 254pp VL 26 IS 1 DI 10.1007/s41114-023-00045-2 LA English DE Laser Interferometer Space Antenna (LISA); Cosmology AB The Laser Interferometer Space Antenna (LISA) has two scientific objectives of cosmological focus: to probe the expansion rate of the universe, and to understand stochastic gravitational-wave backgrounds and their implications for early universe and particle physics, from the MeV to the Planck scale. However, the range of potential cosmological applications of gravitational-wave observations extends well beyond these two objectives. This publication presents a summary of the state of the art in LISA cosmology, theory and methods, and identifies new opportunities to use gravitational-wave observations by LISA to probe the universe. ER