Explicit reduction modulo p of certain 2-dimensional crystalline   representations, II
  We complete the calculations begun in [BG09], using the p-adic local Langlands correspondence for GL2(Q_p) to give a complete description of the reduction modulo p of the 2-dimensional crystalline representations of G_{Q_p} of slope less than 1, when p > 2. 
Kevin Buzzard and Toby Gee
math.NT