Is it possible to get my habilitation in France while being in industry? I've finished my PhD in pure mathematics in late 2013 in the US (2 published papers, 1 preprint), and after almost 4 years of postdoc in the subjects of pure math (1 year-unproductive), medical imaging and computer vision (3 years- 3 papers), I'm joining a research position in industry in France. I've done 3 years of postdoc in France (and currently here) and 1 in the US. 

I'll be working alongside a professor of statistics in France who's a consultant for my company, and the company also encourages publications (after they get patent etc.). Besides, I'm collaborating with two people from academia and industry, and in 2-3 years or so, I hope to have 2-3 more publications.

My goal is to defend my habilitation in statistics/machine learning (https://en.wikipedia.org/wiki/Habilitation) in 3-4 years from now, as I'm very interested to have a joint academic-industrial position in the future. To elaborate, I'd like to hold a professor position in academia and also a researcher/research consultant position in industry. I'm happy to indirectly supervise PhD students alongside someone else but not directly. And somewhat shamelessly, I'd like to have a second income from academia on top of industry. I'm not a EU or US citizen, by the way.

My question is: is it possible for me to defend my habilitation in France when I'm not a part of French academia? Normally, I've seen only academics do that.

Thanks in advance!
Yes, you may obtain an habilitation as a non-academic, but in fact you may not need one, see below.

An habilitation is a diploma. You would need to register in the doctoral school of a University, so the right person to ask is the director of the doctoral school. I know at least one person who obtained an HDR while working for a company.

However, it is not a simple matter.
For example, the HDR procedure in Mathematics-Computer Science in Bordeaux has five steps before the defense:


File an application. Note that there are prerequisites, such as mandatory training in directing thesis work.
Evaluation of the application by the doctoral school.
Evaluation of the application by the University Academic Council
Formal response. If the response is positive, the candidate must complete their HDR within two years.
Registration as an HDR candidate and constitution of an examining committee.


Once awarded, and HDR confers the right to be sole advisor of a doctoral candidate. It is a sufficient but not necessary condition for applying for a professorship: formally, the prerequisite is a qualification aux fonctions which may be accorded to non-academics (Appendix 11).

Note that a scientist working in industry may co-direct a doctoral student, if at least one of the other director(s) (there may be two others) has an HDR. I don't have my draft of the décret on hand, but if I recall correctly it is not necessary that the scientist have an HDR.