Avatar Plugin, Fails to work with large files

When I use a large file (2816 by 2112), the image will upload, allow me to move around and adjust the crop box but when I hit the "crop" button the the page goes blank. I still have my side bar and everything but the body of the page is just gray.

I know it's not loading or anything because the bottom of my browser says "Done" which means the page has full loaded.

How can I fix this problem. Many users will be using large photos from their cameras.