Please note: if you wish to spend some time by the mOeX team, please, do not hesitate to send a proposal even if you do not apply for a subject below. Be sure to attach a CV and motivation letter. We read all your mails, but cannot answer them all.
There is a very accurate description from Xavier Leroy about doing a PhD at INRIA. Everything applies to our team as well except for the doctoral school we are affiliated with.