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

$m_c$ (and $m_b$) from lattice QCD