Charm physics at BESIII

Based on 293 and 0567 fb-1 data taken at the center-of-mass energies s=3773 and 4599 GeV with the BESIII detector, we report the precise measurements of the decay constant fD+, the form factors of D semileptonic decays, the Dalitz plot analysis of D+→K0Sπ+π0, the strong phase differences in D→K0S/Lπ+π- and K-π+, the D0D0 mixing parameter yCP, the searches for 2-body hadronic decays D0(+)→ωπ0(+), rare decays of D0→γγ and D+→K(π)±ee+ as well as the significant improved measurements of the absolute branching fractions for Λ+c→Λe+νe and 12 hadronic final states.