In 1976, he was a pupil of Yvonne Loriod's piano class at the Conservatoire de Paris, where he obtained a first prize.
From 1988 to 1999, he was a member of the Ensemble Intercontemporain, with whom he created numerous works by contemporary composers such as Franco Donatoni, György Ligeti, Klaus Huber, Philippe Fénelon and Michael Jarrell.
Among others, he played Boulez's Structures for two pianos (with Pierre-Laurent Aimard) and Luciano Berio's Sequenza IV.
In 2001, he released a recording of Debussy's and Bartók's works for piano for Harmonia Mundi.
As a concert pianist, Boffard has performed at festivals in Salzburg, Berlin, Bath and Brussels, among others and has worked with conductors such as Pierre Boulez, Simon Rattle, Leon Fleisher and David Robertson.