Let me elaborate on the Schools and then ask you a question:
Sorcery - Manipulation of Energy. Pyrokinesis, Cyrokinesis, Hydrokinesis, Aerokinesis, Electrokinesis, Telekinesis, all of that jazz. Basically, anything involving the elements.
Alchemy - Manipulation of Matter. Creation of magic items, polymorphing, alteration of a living object, creation of objects. Basically, anything involving creating and changing matter.
Conjuration - Manipulation of the Supernatural. Summoning, binding, communication, bargaining, dismall and so forth of undead, spirits, demons, angels, folklore and so on.
Enchantment - Manipulation of Mind. Controlling minds, changing minds, changing memories, removing memories, giving memories, charming, corruption, illusions and anything mental.
Now that you know all of this, I want you to design a character using the information here: