You are a wizard who focuses their study on the magical properties of ice. Known as 'frost mages' or 'ice-benders', these wizards learn how to manipulate ice in ways that other wizards cannot. Many of these wizards begin their studies in taigas and frozen planes, developing their mastery of ice.

Frigid Savant

Beginning when you select this tradition at 2nd level, you know how to draw upon the power of ice. Once per long rest, you may cast a level 1 spell without expending a spell slot, so long as the spell can deal cold damage. You also learn the shape water cantrip.

Additionally, the gold and time you must spend to copy a spell that can deal cold damage into your spellbook is halved.

Coldbringer

Starting at 2nd level, the chilling strength of ice is always within your grasp. Once per turn when you hit a target with a wizard spell of 1st level or higher that can deal cold damage, you can use your bonus action to create a hail of ice in a 5-foot radius centered on the target hit. Creatures that start their turn or move within the hail of ice have their speed reduced by 10 feet until the start of your next turn, and take cold damage equal to half your INT modifier (rounded up). This effect increases to a 10ft radius at 10th level.

Ice Manipulation

At 6th level, you have learned how to wield frost and ice in different ways. When you cast a spell with a spell slot, you can expend one additional spell slot to augment its effects for the casting with the power of ice. The effect depends on the spell slot you expend.

An additional 1st-level spell slot can infuse a spell with the power of ice. If you roll damage for the spell when you cast it, increase the damage against every target by 2d12 cold damage. If the spell can deal damage on more than one turn, it only deals the extra cold damage on the turn you cast the spell.

An additional 2nd-level spell slot can increase the strength of the spell. If the spell you cast deals cold damage, the cold damage ignores resistance to cold damage and treats immunity to cold damage as a resistance.

An additional 3rd-level spell slot can increase the effectiveness of the spell. If the spell you cast deals cold damage, increase the spell's save DC by 2. If the spell you cast deals cold damage and requires a spell attack roll, add 2 to the spell attack roll.

Freezing Form

By 10th level, you have acclimated to frost. You have advantage on saving throws against spells or creature abilities that deal cold damage, and you ignore difficult terrain caused by snow or ice.

Additionally, your movement speed cannot be reduced as a result of taking cold damage.

Frost Mastery

At 14th level, you have mastered the power of ice. You add the investiture of ice spell to your spellbook, if it is not there already. You can cast investiture of ice without expending a spell slot. When you do so, the spell does not require concentration.

Once you cast investiture of ice in this way, you can't do so again until you finish a long rest.