Ths guy will most likely be the toughest boss you will have encountered so far and comes at the end of mission 11 on dantes path. I highly recommend taking out the wolves first, equipping the lightning heart on your amulet will help with this as they can be really annoying, once they're down I treat this fight quite similarly to a Nelo Angelo encounter from DMC, keep your distance, evade his attacks then unleash a quick combo and get out quickly. Rinse and repeat. His most deadly attack is likely one where he'll impale you and keep you there a while, draining your life away, you can break free of this instantly by entering devil trigger.
There is a green orb in the room with you, this will fully heal you so don't go picking it up if you don't really need it.