This question already has an answer here:
Is there any academic research going on regarding Stack Exchange?
I would be interested in helping, if someone is writing a paper.
Yes, Lena Mamykina (Human-Centered Computing at Columbia University) and Björn Hartmann (UC Berkeley) are conducting a study.
Papers have also been published:
Source: Stack Overflow blog post Academic Papers Using Stack Overflow Data.
I just did a literature research and collected actual research publications in a Mendeley bibliography on Stack Exchange. Feel free to contribute! We may also collect papers at this question.