Computer crashing after a few minutes of logging in

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http://askubuntu.com – I have a FRESH install of Ubuntu 12.04.1 on my machine. It's constantly crashing after logging in. I noticed it crashed repeatedly when using Minitube and would crash in Chrome. It seems to be that anything graphics related is causing it? I've booted the system of 7 times and each time it would crash within 5-10 minutes after logging in. I have no SWAP and it's a dual-boot system with Windows 7. My system: AMD Phenom XII 925 8GB DDR3 (new) AMD Radeon HD 7770 GPU (new) Seagate 1TB Barracuda HDD (new) Ubuntu 12.04.1 64-Bit Catalyst Drivers (HowTos)