School of Mathematics

As a mathematician, you minimize costs and time spent on casting spells. You also have an innate desire to have the right answer for every situation. 

Mathematical Savant

Beginning when you select this school at 2nd level, you may now prepare spells from your spellbook equal to your Intelligence modifier + your proficiency bonus + your wizard level.

Efficient Algorithm

Starting at 2nd level when you choose this school, formulas give rise to new possible and more optimal solutions . When you cast a spell, you may choose to ignore the verbal or somatic components of that spell. You can expend two uses of this feature to ignore both the verbal and somatic components of the spell.

You can use this feature a number of times equal to your Intelligence Modifier (minimum of 1). You regain uses of this feature after a long rest.

Proof by Contradiction

Starting at 6th Level, you desire more than anything to have the final say in a conversation and always with the right answer.

You add the dispel magic spell to your spellbook and always have it prepared. This spell does not count towards the number of spells you can prepare each day. 

When you successfully dispel a magical effect with dispel magic, as a bonus action you may cast a cantrip with a casting time of 1 action. Also, you regain one expended spell slot of a level lower than the spell slot used for the dispel magic spell up to 5th Level.

Eureka

Beginning at 10th level,  you discover interesting ways to bypass casting times. When you begin casting a ritual spell (after the normal casting time), you can make an intelligence check with a DC equal to 10 + the spell level of the ritual spell. If you succeed, you ignore the additional casting time required of casting that spell as a ritual. On a failure, however, you must expend a spell slot equal to or greater than the level of the ritual spell, and you immediately cast the spell . If you don't have any appropriate spell slots remaining, you suffer two levels of exhaustion. 

Brute Force Method

Starting at 14th level, you don't always have the necessary items to cast spells, but that doesn't stop you. Whenever you cast a spell that requires materials with or without a monetary cost, you can expend another spell slot of equal level to ignore the material component(s) of the spell. You gain one level of exhaustion when using this feature.