In this talk, I will present studies of the model-dependence of cosmological neutrino mass constraints.
In particular, I will focus on two phenomenological parameterizations of time-varying dark energy (early dark energy and barotropic dark energy) that can exhibit degeneracies with the cosmic neutrino background over extended periods of cosmic time. Moreover, I will show how the combination of multiple probes across cosmic time can help to distinguish between the two components.
In addition, I will discuss how neutrino mass constraints can change in extended neutrino mass models, and how current tensions between low- and high-redshift cosmological data might be affected in these models.