What could be the possible plot in 'harry potter math fanfiction'?

Perhaps the math genius gets recruited by a secret society within Hogwarts that is dedicated to exploring the connection between magic and numbers. They go on adventures to find magical artifacts that are said to be related to ancient math - based magic. Along the way, they face challenges from dark wizards who want to use this knowledge for evil purposes.

One possibility could be that Harry discovers the magic of math in his wizarding world. Maybe he uses math to solve some complex spells or potion-making ratios. For example, he realizes that a certain spell's effectiveness is related to geometric patterns and uses his newfound math knowledge to enhance it.

Well, perhaps the Yautja is on a hunt in its own world but gets caught in a magical portal that leads it to Hogwarts. The students are both scared and intrigued. Hermione starts researching about it, trying to find a way to send it back. Meanwhile, the Yautja sees the Death Eaters as worthy prey and starts stalking them. Harry has to convince the Yautja not to go on a full - out killing spree which might endanger innocent lives as well.

A possible plot could be that a Smilodon escapes from a magical menagerie in the Forbidden Forest. Harry and his friends discover it and try to return it safely without getting hurt or getting in trouble with the Hogwarts authorities.

Perhaps Harry could be a wizard - geisha hybrid. He might use his magic to enhance the traditional geisha arts, like creating magical illusions during his performances. He could be in a Hogwarts - like school but also trained in the ways of the geisha, with spells and potions being used in the context of geisha traditions.

Well, one possible plot could be that Orochimaru somehow finds his way into the Harry Potter universe. He might be interested in the unique magic there, like the Elder Wand or the Philosopher's Stone. He could try to use his ninja skills and devious ways to steal these powerful magical items, and Harry and his friends would have to stop him using their own magic.

A possible plot could be Morgoth's return in a weakened form in the Forbidden Forest. His presence starts to corrupt the magical creatures there. Harry and his friends sense the disturbance and go to investigate. They soon realize it's a much greater threat than they thought and must find a way to either banish Morgoth back to his realm or destroy his essence completely.

Well, perhaps in this fanfiction, Harry Potter uses his magical skills in the context of auditing. He could use spells to detect financial irregularities, like a magical version of auditing software. For example, he might cast a spell that reveals hidden transactions in a company's books.

One possible plot could be that Harry and Ginny go to a secluded wizarding cottage by the sea. They spend their days exploring the nearby magical creatures and hidden coves. At night, they sit by the fireplace and share stories from their Hogwarts days, strengthening their bond even more.

I think Luna Lovegood could also be a main character. She has such an unique way of thinking that she might bring a different perspective to the math concepts in the fanfiction. Maybe she could find a connection between her strange beliefs and math that no one else has thought of before. And she could use this knowledge to help her friends in some magical math adventures.