Level 18: You have achieved such mastery over certain spells that you can cast them at will. Choose a level 1 and a level 2 spell in your spellbook that have a casting time of an action. You always have those spells prepared, and you can cast them at their lowest level without expending a spell slot. To cast either spell at a higher level, you must expend a spell slot.
Whenever you finish a Long Rest, you can study your spellbook and replace one of those spells with an eligible spell of the same level from the book.
Level 20: Choose two level 3 spells in your spellbook as your signature spells. You always have these spells prepared, and you can cast each of them once at level 3 without expending a spell slot. When you do so, you can't cast them in this way again until you finish a Short or Long Rest. To cast either spell at a higher level, you must expend a spell slot.
Level 14: You can peer through possible futures and magically pull one of them into events around you, ensuring a particular outcome. When you or a creature you can see within 60 feet of you makes an attack roll, an ability check, or a saving throw, you can use your reaction to ignore the die roll and decide whether the number rolled is the minimum needed to succeed or one less than that number (your choice).
When you use this feature, you gain one level of exhaustion. Only by finishing a long rest can you remove a level of exhaustion gained in this way.
Level 10: When you cast a spell using a spell slot of 4th level or lower, you can condense the spell's magic into a mote. The spell is frozen in time at the moment of casting and held within a gray bead for 1 hour. This bead is a Tiny object with AC 15 and 1 hit point, and it is immune to poison and psychic damage. When the duration ends, or if the bead is destroyed, it vanishes in a flash of light, and the spell is lost.
A creature holding the bead can use its action to release the spell within, whereupon the bead disappears. The spell uses your spell attack bonus and save DC, and the spell treats the creature who released it as the caster for all other purposes.
Once you create a bead with this feature, you can't do so again until you finish a short or long rest.
Level 6:
As an action, you can magically force a Large or smaller creature you can see within 60 feet of you to make a Constitution saving throw against your spell save DC. Unless the saving throw is a success, the creature is encased in a field of magical energy until the end of your next turn or until the creature takes any damage. While encased in this way, the creature is incapacitated and has a speed of 0.
You can use this feature a number of times equal to your Intelligence modifier (a minimum of once). You regain all expended uses when you finish a long rest.
Level 5: Whenever you finish a Short Rest, you can study your spellbook and replace one of the level 1+ Wizard spells you have prepared for your Spellcasting feature with another level 1+ spell from the book.
Level 3: You can add your Intelligence modifier to your initiative rolls.
Level 3: 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.
Level 2: While studying magic, you also specialized in another field of study. Choose one of the following skills in which you have proficiency: Arcana, History, Investigation, Medicine, Nature, or Religion. You have Expertise in the chosen skill.
Level 1: You can regain some of your magical energy by studying your spellbook. When you finish a Short Rest, you can choose expended spell slots to recover. The spell slots can have a combined level equal to no more than half your Wizard level (round up), and none of the slots can be level 6 or higher. For example, if you're a level 4 Wizard, you can recover up to two levels' worth of spell slots, regaining either one level 2 spell slot or two level 1 spell slots.
Once you use this feature, you can't do so again until you finish a Long Rest
Level 1: You can cast any spell as a Ritual if that spell has the Ritual tag and the spell is in your spellbook. You needn't have the spell prepared, but you must read from the book to cast a spell in this way.