Not yet reviewed by Pith; the record is open.

Simultaneous, diffraction-limited control of multiple optical beams is crucial for applications ranging from lithography to optogenetics, deep tissue imaging, and tweezer-based manipulation of cells, particles, or atoms. Despite the desire to address wider fields of view, deeper volumes, and increasingly-disordered media, spatially-varying aberrations currently restrict parallelized steering to a limited "isoplanatic" region over which the point spread function is invariant. Here, we overcome this limitation by combining individual propagation kernels accounting for site-specific aberrations into a single spatial light modulator (SLM) hologram. This "aberration-space holography" unlocks precise, parallel holographic shaping over the SLM's entire Nyquist-limited volume, enabling us to realize full-field, anisoplanatic aberration compensation for the first time. By simultaneously correcting 50 isoplanatic patches with 8 principal aberration modes, we demonstrate a full-field optical tweezer array with 8x larger field of view than the best isoplanatic correction. Extending to 3D, we increase the volume of a multiphoton volumetric display by 12x. These performance enhancements are immediately accessible to a diverse range of applications through our open-source software implementation, which combines aberration-space holography with automated experimental feedback, wavefront calibration, and alignment.