  One of the most promising quantities for the search of signatures of physics
beyond the Standard Model is the anomalous magnetic moment $g-2$ of the muon,
where a comparison of the experimental result with the Standard Model estimate
yields a deviation of about $3.5~\sigma$. On the theory side, the largest
uncertainty arises from the hadronic sector, namely the hadronic vacuum
polarisation and the hadronic light-by-light scattering. I review recent
progress in calculating the hadronic contributions to the muon $g-2$ from the
lattice and discuss the prospects and challenges to match the precision of the
upcoming experiments.
