Are you getting a stop code with the blue screen? Are there any errors in the Windows system or application logs? Finally, make sure the system is set up to write system dump files (type "advanced system settings" in the search box and double click the found file to run, under Startup and Recover hit the Settings button, under System Failure make sure the box is checked to write an event to the system log and also choose to write a kernel memory dump).
It also might help to install Whocrashed to read the dump file at next bluescreen:
http://www.resplendence.com/download/whocrashedSetup.exe
If you have temperature monitoring software, keep an eye on the CPU temps to see if you are overheating (it is really easy to mess up the CPU heatsink thermal material the first time you do it).
Other things you can do:
Try resetting the BIOS settings to defaults (flashing the BIOS if a newer one is available is an option, but save it as a last resort as you don't want to chance a system failure during a BIOS flash). You can also try uninstalling and reinstalling the video drivers (sometimes, moving the video card to another PCIe slot can make a difference - do it after you uninstall the video drivers and right before you reinstall them). Make sure you are using the most recent video drivers from the manufacturer website or from AMD.
It probably wouldn't hurt to run MEMTEST86+ to check your memory. Are the memory modules you purchased specifically on the motherboard's memory compatibility list? If you are running two memory modules, try running a MEMTEST86+ session on one module at a time, swap in the 2nd module if the first passes and repeat.
Finally, once you solve the issue, make sure to run an extended Prime95 burn in to ensure everything is stable.