Since 2009, he has been one of three managing editors of the journal Compositio Mathematica; he is also on the editorial boards of  Forum of Mathematics, Pi and Sigma, the Journal of the American Mathematical Society, and the Bulletin of the American Mathematical Society.
From 2009 onwards, he has held a key position as one of three editors-in-chief of Compositio Mathematica; he is also involved with the editorial committees of Forum of Mathematics, Pi and Sigma, the Journal of the American Mathematical Society, and the Bulletin of the American Mathematical Society.