Mapping the kinematics of the Universe through standard candles and redshift drift

Abstract: Cosmological data is typically analyzed under the model assumptions of exact spatial homogeneity and isotropy in the space-time description of our Universe. However, such symmetries are in reality broken due to the presence of cosmic structure. I will present cosmographic strategies for inferring properties of the Universe without making assumptions about the metric of space-time or the field equations prescribing it. I will discuss standardizable objects and redshift drift signals as model-independent probes of the kinematics of our Universe. The developed frameworks allow for consistent analyses of anisotropic features in cosmological data.