New Results in Four and Five Loop QED calculations
  We report on two recent multiloop results in QED: (i) the four-loop corrections to the conversion relations between the QED charge renormalized in the on-shell and MS-bar schemes; (ii) analytical evaluation of a class of asymptotic contributions to the muon anomaly at five-loops. 
P.A. Baikov, K.G. Chetyrkin and C. Sturm