If hibernating your laptop works but, upon resuming, the computer reboots and does not resume from the hibernation point, the following information should be of use (taken from the Ubuntu forums):

Make sure the swap drive UUID is correct in  /etc/initramfs-tools/conf.d/resume. Sometimes it is not updated. You can obtain the UUID of the swap drive using the following command:

vol_id /dev/hda3 (or your swap drive id)

Then run

sudo update-initramfs -u

This will update the initrd.img file in the /boot directory. This will generate a new image that is aware of the swap drive location for resume purposes.