You have learned to regain some of your magical energy by studying your spellbook. Once per day when you finish a short rest, you can choose expended spell slots to recover. The spell slots can have a combined level that is equal to or less than half your wizard level (rounded up), and none of the slots can be 6th level or higher.

For example, if you're a 4th-level wizard, you can recover up to two levels worth of spell slots.

You can recover either a 2nd-level spell slot or two 1st-level spell slots.

As a student of arcane magic, you have a spellbook containing spells that show the first glimmerings of your true power. See chapter 10 for the general rules of spellcasting and chapter 11 for the wizard spell list.

At 1st level, you know three cantrips of your choice from the wizard spell list. You learn additional wizard cantrips of your choice at higher levels, as shown in the Cantrips Known column of the Wizard table.

At 1st level, you have a spellbook containing six 1st-level wizard spells of your choice. Your spellbook is the repository of the wizard spells you know, except your cantrips, which are fixed in your mind.

The Wizard table shows how many spell slots you have to cast your spells of 1st level and higher. To cast one of these spells, you must expend a slot of the spell's level or higher. You regain all expended spell slots when you finish a long rest.

You prepare the list of wizard spells that are available for you to cast. To do so, choose a number of wizard spells from your spellbook equal to your Intelligence modifier + your wizard level (minimum of one spell). The spells must be of a level for which you have spell slots.

For example, if you're a 3rd-level wizard, you have four 1st-level and two 2nd-level spell slots. With an Intelligence of 16, your list of prepared spells can include six spells of 1st or 2nd level, in any combination, chosen from your spellbook. If you prepare the 1st-level spell magic missile, you can cast it using a 1st-level or a 2nd-level slot. Casting the spell doesn't remove it from your list of prepared spells.

You can change your list of prepared spells when you finish a long rest. Preparing a new list of wizard spells requires time spent studying your spellbook and memorizing the incantations and gestures you must make to cast the spell: at least 1 minute per spell level for each spell on your list.

Intelligence is your spellcasting ability for your wizard spells, since you learn your wizard spells through dedicated study and memorization. You use your Intelligence whenever a spell refers to your spellcasting ability. In addition, you use your Intelligence modifier when setting the saving throw DC for a wizard spell you cast and when making an attack roll with one.

Spell save DC = 8 + your proficiency bonus + your Intelligence modifier
Spell attack modifier = your proficiency bonus + your Intelligence modifier
Ritual Casting
You can cast a wizard spell as a ritual if that spell has the ritual tag and you have the spell in your spellbook. You don't need to have the spell prepared.

You can use an arcane focus (found in chapter 5) as a spellcasting focus for your wizard spells.

Focusing on the manipulation of time, those who follow the Chronurgy tradition learn to alter the pace of reality to their liking. Using the ramping of anticipatory dunamis energy, these mages can bend the flow of time as adroitly as a skilled musician plays an instrument, lending themselves and their allies an advantage in the blink of an eye.

 

2nd-level Chronurgy Magic feature

You can magically exert limited control over the flow of time around a creature. As a reaction, after you or a creature you can see within 30 feet of you makes an attack roll, an ability check, or a saving throw, you can force the creature to reroll. You make this decision after you see whether the roll succeeds or fails. The target must use the result of the second roll.
You can use this ability twice, and you regain any expended uses when you finish a long rest.

 

2nd-level Chronurgy Magic feature

You can add your Intelligence modifier to your initiative rolls.

The counsel of a diviner is sought by royalty and commoners alike, for all seek a clearer understanding of the past, present, and future. As a diviner, you strive to part the veils of space, time, and consciousness so that you can see clearly. You work to master spells of discernment, remote viewing, supernatural knowledge, and foresight.

Beginning when you select this school at 2nd level, the gold and time you must spend to copy a divination spell into your spellbook is halved.

Starting at 2nd level when you choose this school, glimpses of the future begin to press in on your awareness. When you finish a long rest, roll two d20s and record the numbers rolled. You can replace any attack roll, saving throw, or ability check made by you or a creature that you can see with one of these foretelling rolls. You must choose to do so before the roll, and you can replace a roll in this way only once per turn.

Each foretelling roll can be used only once. When you finish a long rest, you lose any unused foretelling rolls.