Located at the South Pole Station in Antarctica, the IceCube Neutrino Observatory is the world's largest neutrino telescope. In the clearest part of the ice sits a more densely instrumented section, DeepCore, that is able to measure neutrinos from 5 GeV to 80 GeV. Using DeepCore, neutrino oscillations can be observed via $\nu_{\mu}$ disappearance with precision comparable to that from accelerator experiments. With additional optical modules instrumenting the DeepCore volume, it is possible to further reduce the detector's energy threshold and improve the resolution of the detector at low energies. This allows measuring the $\nu_\tau$ appearance — which accompanies $\nu_{\mu}$ disappearance — at 10% precision or better, and determining the neutrino mass ordering. These are the key science goals of the proposed IceCube-Gen2 Phase 1 and PINGU, respectively.
Both current IceCube results on standard neutrino oscillations and sensitivities for the proposed Phase 1 and PINGU extensions of IceCube will be discussed in this talk.