Pyromaniac

Burn!

Flame Charges

You have a set number of Flame Charges, equal to your Intelligence Modifier + your Proficiency Bonus. You also have 2 abilities available to you when you gain these Flame Charges: Razing Flames and Burning Desire.

Burning Desire

When you reach 0 hp, you can choose to roll a Constitution save, the DC being 10 + half the damage taken from the attack that reduced you to 0 hp. On a success, you rise with 1 hp, and expend a Flame Charge.

Razing Flames

Expending a Flame Charge, you can deal an additional 1d6 fire damage when you cast an attack spell that successfully hits an enemy. At 6th level, you can spend 2 charges to deal 2d6 additional fire damage. At 14th level, you can spend 3 charges to deal 3d6 additional fire damage. You can only use this once per turn.

Flaming Sanctuary

at 6th level, Once per Long Rest, you can engulf everything around you in flames for 1 minute. This can only be used when an opponent moves within 20 ft of you, and is used as a reaction.

When you Use Flaming Sanctuary, everything and everyone within 20 ft of you must make a dexterity saving throw. on a fail, they take fire damage equal to 10 + your wizard level. A creature that ends their turn within 20 ft of you while Flaming Sanctuary is active must roll a Dexterity Save, taking 2d6 fire Damage, or half as much on a successful save.

Flame Drain

Your Flaming Sanctuary gets Improved. At 10th level, you can spend 2 Flame Charges to regain hit points in an amount equal to 1/4 the overall damage dealt when activating Flaming Sanctuary.

The Fire Within

At 14th level, you have learned to manipulate the fire within. 

You Learn the Burning Hands Spell, if you don't know it already, and can cast this spell at will, at its lowest level.

Additionally, You can use a Certain amount of Flame Charges to cast Certain Spells at their lowest Level without consuming Spell Slots. The Flame Charge Cost, and what Spells can be cast this way, are listed below.

3 Charges: Scorching Ray

5 Charges: Fireball

8 Charges: Immolation