Editor in Chief
- Editor in Chief of the Journal of the European Mathematical Society (2014-2023)
- Editor in Chief of the Journal of the Institute of Mathematics of Jussieu (2011-2016)
- Editor in Chief of Astérisque (1993-2000)
Editorial Boards
- Model Theory (since 2022)
- Confluentes Mathematicae (2009-2023)
- Nagoya Mathematical Journal (2008-2016)
- Journal of the Institute of Mathematics of Jussieu (2006-2011)
- Rendiconti del Seminario Matematico della Università di Padova (since 2005)