Charm Mixing and $CP$ Violation

Charm mixing and $CP$ violation offers a unique probe to the flavour dynamics of the sector of up-type quarks. The LHCb experiment is a purpose-built heavy-flavour experiment and recorded the world's largest sample of charm decays. This work gives an overview of the latest measurements including the first single-measurement observation of charm mixing, the highest-precision $CP$ asymmetry measurement in the charm sector and several searches for direct $CP$ violation in two-, three-, and four-body decays. The measurements are in agreement with $CP$ conservation at the current level of precision.