Restoring Grub for an Encrypted LVM
Install GRUB not to the MBR but to the root partition.
However, Windows does not understand how to boot to anything other than Windows. So when I reformatted, it wrote GRUB on the MBR with it's own boot loader.
So now I needed to reinstall GRUB to the MBR if I wanted to be able to boot back into my Linux install.
https://www.thomas-krenn.com/en/wiki/Restoring_UEFI_boot_entry_via_motherboard_replacement_or_BIOS_update
http://askubuntu.com/questions/720187/bios-problems-i-accidentally-erased-ubuntu-from-bios-boot-menu
http://www.dedoimedo.com/computers/grub-2.html
http://askubuntu.com/questions/63610/how-do-i-remove-ubuntu-in-the-bios-boot-menu-uefi
http://askubuntu.com/questions/383166/having-trouble-adding-uefi-entry-using-efibootmgr