  I present results for high-order corrections from threshold resummation to
cross sections and differential distributions in top-antitop pair production
and in single-top production. I show aN$^3$LO results for the total $t{\bar t}$
cross section as well as for the top-quark transverse momentum ($p_T$) and
rapidity distributions, and the top-quark forward-backward asymmetry in $t{\bar
t}$ production. I compare with the most recent Tevatron and LHC data, including
at 13 TeV. I also present aNNLO results for cross sections and $p_T$
distributions in $t$-channel, $s$-channel, and $tW$-channel single-top
production.
