Here to teach what they have learned through Experience, Innovating their use of the Arcane beyond the Normal.
Those who have dedicated on teaching the Arcana, and share the wealth of knowledge they have.
This attracts others in following their lead. Arcane Professors improve their knowledge, and their skills
develop overtime.

Energy Coat

At 2nd level, you have learned to weave your magic to fortify against harm. As an Action You touch one creature and say the Evocation to envelop their physical bodies with Arcane Energy Coat lasting one minute. The creature Gains a D4 to roll to decrease all incoming damage for the Duration of Energy Coat.

Energy Coat can be used Equal to Wizard's Constitution modifier per Long rest.

Crash Course Spell Lessons

Starting at 2nd level, Once per Long rest, While outside of combat through your spell book you can teach one creature one of your spells at the cost of the same level spell slot.
They can use this learned spell once. The spells can not be up-casted. The highest level of spell you can teach a creature is 2nd level. Given that the Professor had provided and shown all spell components

Amplify Arcane Power

Starting at 6th level, you can store magical energy and Empower damaging spells. you can touch one creature and amplify their next spell
Adding a d6 to their spell modifier and Damage modifier. (Only applies to Ranged and Melee Spells). You can use this feature equal to the professor's Intelligence modifier.

Memorized

Beginning at 10th level, You have Studied the spells you have within your spell book. and able to Memorize 3 Spells from levels one to three.
You are able to Cast these spells in a faster action, From Action to Bonus Action and Bonus Action to a Reaction.. You are able to change these
three spells memorized once per long rest.

Recognized Spell

At 14th level, When someone casts a spell that you also know you can use your reaction to Cast the same spell
regardless of Casting time. Your Recognized Spell will Always Deal Max Damage Upon Hit, or creatures you cast a spell
on with this feat has a disadvantage on their saving throw against spells casted Via Recognized Spell