Just a couple possibilities off the top of my head:
1) Heat. Do you have SpeedFan or a similar monitoring program? What are the mobo and cpu temperatures? If, for example, you didn't use good thermal paste like Arctic Silver and/or didn't properly secure the heatsink, the cpu could overheat, leading to lockups. And don't forget to verify the heatsink fan is turning. Do you have good ventilation in the case? No dust buildup?
2) Power. Your power supply is inadequate/faulty.(?) Or perhaps there are loose connections?
Anyway, I'd check those things first. You'll get other suggestions, no doubt. Good luck.
