How to store Parmesan cheese?
If it's high quality, store it in the refrigerator in an air-tight container and try to use it as quickly as possible so you can enjoy it while it's fresh. There are always excuses to use loads of parmesan: cheese plates, pasta dinners, fondue, scones, grilled cheese sandwiches, etc. It should last for 3-4 months in a sealed container in the fridge. As time goes on it will get drier, but that's to be expected. 

If you can't eat it in time, consider giving some away to a friend. If you wanted, you could freeze it as well, but I would only use it for baking or melting once thawed as some flavor and a lot of texture will be lost.