Wolf is an MD, an honorary Group Leader at the Babraham Institute, honorary Professor of Epigenetics at the University of Cambridge, a Fellow of the Royal Society, the Academy of Medical Sciences, the Academia Europaea, and a Member of EMBO. He is also Associate Faculty at the Sanger Institute, an Affiliate of the Stem Cell Institute, and a Member of the Centre for Trophoblast Research. His research interests are in mammalian epigenetics, particularly in epigenetic reprogramming during mammalian development and its roles in stem cell biology, inheritance and ageing.

Recently Wolf left his position as Director of the Babraham Institute to become founding Director of the Altos Labs Cambridge Institute of Science.