Pyrokinesis

Pyrokinesis (from the Greek words pûr and kínesis: fire moving) is the ability to manipulate fire and heat as well as being completely resiliant to being burned by fire. Leo Valdez has this ability. He uses it to defend himself and also to protect others. Only a few chosen children of Hephaestus share this power. It is said to only appear in demigods when horrible things are destined to occur, because, as Jason puts it, that is when they are needed most.

History
In 1666, Thomas Faynor, the last Pyrokinetic child of Hephaestus before Leo, accidentally lost control of his fire powers in his bakery. This is what started the Great Fire of London, which was thought to have been started by one of the ovens.

The Last Olympian
Despite being the Titan of Light, Hyperion is able to absorb Greek fire into his body after being hit with it.

The Lost Hero
Only two demigods in the series have been revealed to be able to use Pyrokinesis, Leo Valdez and Thomas Faynor. Leo at first is unwilling to tell anyone about his power because he feels that his power is a terrible thing, believing it caused his mother's death and his cabin feels that pyrokinesis is a curse as people with this power seemingly only appear when bad things are about to happen. When Leo was a baby, Tia Callida puts him in a blazing fire pit of which using pyrokinesis, he withstands the flames. Later, when Leo was five, he seared his hand print an inch deep in the solid wood of a picnic table. At age eight, Leo used pyrokinesis again by accidentally burning down the warehouse his mother worked in with her inside. At Camp Half-Blood, Leo use his powers to withstand Festus' flame attacks. During the battle with the cyclops in a warehouse, Leo uses it again to endure a firestorm caused by red hot coals and kerosene caused by Ma Gasket. He also uses pyrokinesis to summon a white hot bolt of flames for breaking a chain holding an engine, causing it to fall on Ma Gasket. He later battled Khione's snow powers with his own fire and managed to drive her off.

Users of Pyrokinesis

 * Hephaestus
 * Leo Valdez
 * Thomas Faynor
 * Hyperion
 * Apollo (can control the heat of the Sun)
 * Hades (able to control hellfire)
 * Ares (was able to make a wall of fire. His eyes also glow fire)
 * Hestia can also control fire as she is the goddess of the hearth
 * Circe (She made fire dance across her fingertips)
 * Cacus can breath fire

Trivia

 * Interestingly, Thomas Faynor, unlike most children of Hephaestus, owned a bakery instead of doing anything involving mechanics. Leo has also shown to be a good cook from years of fending for himself.
 * It may be possible for children of Hecate to have Pyrokinesis via spells, but this is unknown.