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.
One possible plot could be that Harry, in a parallel universe or through some strange magical accident, is transported to a world where the wizarding world and the geisha culture are intertwined. He has to learn the geisha arts to survive or to solve a mystery. He might use his knowledge of magic to protect the geisha houses from dark wizards who want to use the geisha's powers (if they have any in this fanfiction) for evil. Along the way, he makes friends with other geisha - wizards and has to navigate the complex social hierarchies of both the wizarding and geisha worlds.
In this fanfiction, Harry could be born into a family that has ties to both the wizarding world and the geisha culture. He grows up learning both magic and the geisha arts. As he gets older, he discovers that there are dark forces at work that threaten both worlds. He uses his unique skills, a combination of magic spells and geisha - like charm and grace, to fight against these forces. He might also have to deal with the prejudices of those in the wizarding world who don't understand the geisha culture and vice versa, all while trying to maintain the balance between the two very different but equally fascinating worlds.
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.
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.
In this 'harry potter math fanfiction', it might also be that there is a new subject in Hogwarts called 'Magical Math'. The teachers could be magical creatures who are experts in both magic and math. The students would have to learn things like how to use equations to create spells or use geometric shapes to build magical structures. And there could be a big competition where the students use their math skills to win a great prize, like a magical artifact that can enhance their magic power.
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.
One possibility is that the 'Cats in the Cradle' is a metaphorical title. The cats could represent the innocence or the unnoticed aspects of the wizarding world. The cradle might symbolize the origin or the starting point of a new era in the Harry Potter universe. The fanfiction could then explore how these elements interact and change the course of the story. It could be about a new discovery related to the founding of Hogwarts or a new kind of magic that is associated with these cats and the cradle.
The plot could revolve around a hidden blade that was created by a powerful and forgotten wizard. In the fanfiction, the blade has the power to control certain magical elements. A group of dark wizards wants to get their hands on it to use it for evil purposes. Harry Potter accidentally stumbles upon information about the blade and starts his own investigation. Along the way, he meets some new allies who are also interested in protecting the blade. Together, they must face many challenges, including duels with the dark wizards, to keep the blade safe and use its power to bring peace to the wizarding world.
Perhaps in this fanfiction, Harry discovers some dark secret about the Order of the Phoenix or Dumbledore that makes him lose faith in the side he has always been on. This, combined with Voldemort's manipulation, could lead him to side with the Dark Lord. For example, if he finds out that Dumbledore has been using him all along without his full knowledge, he might be so disillusioned that he turns to Voldemort as an alternative.