From The Mythos Wiki

There are three skill trees available to the Pyromancer, Cinderblade, Flamecaster and Coalsmasher.

Cinderblade Tree

Burning Sceptre (Passive)
Requires
1-Hand Sceptre
Bonus Fire Damage when wielding Sceptres
Level 1
18% Fire Damage Bonus

Blinding Flash (Fire Spell)
45% chance of blinding target for 7 seconds
Mana Cost: 10

Thermal Screen (Fire Spell)
Requires
Clvl 8
Flaming shield absorbs all damage until it expires, or the damage limit is reached.
Level 1
Absorbs 50 Damage
Duration: 30 Seconds
Mana Cost: 10

Burning Arc (Fire Spell)
Requires
Clvl 8
Burning Scepter
Inflicts damage on all targets within 2 meters using caster's Melee weapon, plus additional Fire Damage.
Level 1
13% Fire Damage Bonus
30% Stun chance
Mana Cost: 10

Fire Shroud
Requires
Clvl 16
Thermal Screen
Caster catches on fire. Deals additional damage equal to the inverse remailing health
Level 1
25% or below you will catch fire
210% max additional damage
5 seconds of shroud after hit

Increased Critical Strike (Passive)
Requires
Clvl 16
Burning Arc
Level 1
5% increased chance of Critical Strike

Infernal Hands (Fire Spell)
Requires
Clvl 16
Flaming attack from your hands
Level 1
1-5 Fire Damage
10% chance to Ignite
Mana Cost: 1

Thermal Reflection
Requires
Clvl 24
Fire Shroud
Thermal Shield reflects a percentage of the damage it absorbs
Level 1
79% of damage reflected

Obsidian Shell
Requires
Clvl 24
Increased Critical Strike or Fire Shroud
Increased chance to deflect Critical Strikes
Level 1
19% chance to avoid Critical Strikes

Flame Draw
Requires
Clvl 32
Restores Mana on target's death
Level 1
10% chance to restore `3% of total Mana

Ember Nova (Fire Spell)
Requires
Clvl 32
Infernal Hands
An incendiary spiral that inflicts Fire Damage on nearby tartets
Level 1
22-30 Fire Damage per projectile
Mana Cost: 7

Flamecaster Tree

Scorching Staff
Increases Accuracy, Attack Speed and adds additional Fire Damage when wielding Staves
Rank 1
2% Increased Accuracy
5% increased Attack Speed
30% Bonus Fire Damage
Rank 2
5% Increased Accuracy
7% Increased Attack Speed
35% Bonus Fire Damage

Flaming Dart
A fast incendiary projectile
Rank 1
3-6 Fire Damage on impact
Mana Cost: 2 Rank 2
5-10 Fire Damage on impact
Mana Cost: 2
Rank 2
5-10 Fire Damage on impact
Mana Cost: 2

Ignite
30% increased chance to Ignite
137% additional damage

Meteor
Requires
Clvl 8
Scorching Staff
Rank 1
25-30 radial Fire Damage on impact
Mana Cost: 3

Embers
Requires
Clvl 6
Ignite
Rank 1
30% increased Mana recharge

Streaking Flames (Passive)
Requires
Clvl 24
Meteor
Increase missile speed
Rank 1
10% increase to missile speed

Flame Serpents (Fire Spell)
Requires
Clvl 24
Erratically moving flaming bolts
Rank 1
30-38 Fire Damage on impact
2 missiles fired
Mana Cost: 4

Sulfuric Poison
Requires
Clvl 16
Embers
Each strike to a target successively increases Fire Weakness, up to a maximum of 150%
Rank 1
20% additional Fire Weakness per strike

Flame Javelin (Fire Spell)
Requires
Clvl 24
Streaking Flames
A spear of flame that peirces enemies along its path
Rank 1
55-68 Fire Damage on impact
Mana Cost: 3

Explosive Missiles While On Fire
Requires
Clvl 24
Flame Serpents
Rank 1
8% chance of Detonation

Ricochet
Requires
Clvl 32
Explosive Missiles While on Fire or Flame Javelin
Rank 1
1 Ricochets
-20% Damage Modifier pre Ricochet

Coalsmasher Tree

Field of Fire (Fire Spell)
Engulfs an area in flames
Level 1
8-10 points of Fire Damage
37% chance to cause Ignite
Mana Cost: 15
Rank 2
12-17 points of Fire Damage
44% chance to cause Ignite
Mana Cost: 17

Wand Mastery (Passive)
Increases the firing rate and adds additional fire damage to Wands
Level 1
5% increased firing rate

Lava Field
Requires
Clvl 8
Field of Fire
Level 1
60% chance to Slow
5-8 second duration
Mana Cost: 8

Fire Snap (Fire Spell)
Requires
Clvl 16
Lava Field
Mana absorbing fire bolt
Level 1
7-12 Fire Damage on impact
25% Mana leech on kill
Mana Cost: 3

Burning Colossus (Fire Spell)
Requires
Clvl 16
Level 1
150-175 Colossus' armor
49-56 Melee Damage
Mana Cost: 25

Fiery Wisp (Fire Spell)
Requires
Clvl 24
Burning Colossus
Summon a Wisp to aid you in battle
Level 1
10-15 Shots
21-38 Damage per shot
Mana Cost: 40

Internal Flame (Passive)
Requires
Clvl 32
Requires Wand Mastery
Increases all Fire Damage inflicted by caster

Cinder Storm (Fire Spell)
Requires
Clvl 32
Fiery Wisp
Flaming bolts strike the target location
Level 1
30-38 radial Fire Damage
8% chance of Explosion if target is Ignited
Mana Cost: 35