Quark mass determinations based on lattice QCD simulations have continued to make strides in recent years. Here I review that progress with a focus on developments computing the charm (and bottom) quark masses since the
2015 edition of CHARM.
These advances have resulted in groups now
quoting (sub-)percent-level precision for these quantities, and, importantly,using a variety of techniques subject to
differing systematic uncertainties.
Improvements to quantify the effects of QED are also now being
included. I will highlight three of the
strategies being used to determine $m_c$ at this level of precision.