Looks like you are an excellent candidate for Data scientist.  SInce you are already familiar with C and Python, and also looks like you have tremendous background on applied Statistics and mathematics, it won't be hard for you to pick up on R or similar platform.

Forget about other IT fields, these days companies can easily find sys admins , BI developers and so on...and after few years in these fields, you'll be bored.

But they're struggling to fulfill the Data Scientist position. (It's not the same as Data analyst). Check out the payscale compared to other IT fields.


http://hbr.org/2012/10/data-scientist-the-sexiest-job-of-the-21st-century/