He also set up the camera on a tripod with strobes overhead on scaffold. In typical Di Corcia style, the concept and method were as important as the result. The Heads series has been described as Street Photography without the street.
I would suggest your statement that Di Corcia is arguably the greatest street photographer of the past decade is greatly over exaggerating his importance in this field. A great photographer, yes, no question. Yes, a great influence on Street photography in the context of the legal battle surrounding one subject photographed in Heads which culminated in the legal ruling that a photographers right artistic expression is greater than the subjects right to privacy. But the greatest Street Photographer of the last decade........no way, by a long way.
Heads was produced in 1999, what has he produced more recently? Fashion in Cuba......?
An aside, for those interested in Street, try to check out the "Everybody Street" documentary. Fantastic! (Can be watched on line for a small fee, just google it!)
http://everybodystreet.com
at the very least watch the trailer
https://vimeo.com/ondemand/everybodystreet
Finally, I've just stumbled upon this clip of one of my all time favourites, Bruce Gilden, critiquing some Street Photography and talking about what makes a good street shot. Some useful tips here.
https://www.youtube.com/watch?v=jNilCJTcJxA&spfreload=10