What about a Genshin Au where Anaxa isekais into Genshin after his death in Amphoreus?
He settles in Sumeru because Akademiya and Nation of Knowledge, proceeds to graduate in 5 years (he took way to many elective courses to understand the new world of Teyvat) and quickly becomes a teacher and scholar, founding the Teyvat branch of the Nousporists, although not as a new darshan.
He keeps having trouble with funding, though that's mostly because he refuses to work for Azar and the sages (it didn't take too long to understand their true interest in his studies and he disapproves of that). He also has trouble finding students, mostly because that's a new field of study (and one that doesn't seem to have many great prospects for future research).
His lectures are usually only attended by Layla (she needed extra credit and there were no other options available) and a random Katherine (Nahida), though he quickly found out about the Archon's existence when she appeared in his dreams with a bunch of questions about his theories (his connection to Cerces allowed him to bypass the worst of the Akasha, also he tinkered with it a bit and modified its settings).
He is as skeptical of the Archons as he is with Amphoreus's Titans, though he quickly became Lesser Lord Kusanali's number one defender ("Who cares if she's an Archon, she's also my student" also she reminds him of Tribbie and he's now wondering if there are any other Chrysos Heirs in Teyvat). He also despises the Akasha and thinks natural curiosity should guide one's research, not mere points or funding.
Inspired by Nahida's advice on how Irminsul can be tampered with and some tales being preserved through fables, he turned all of his writings into a Cerces/Mnestia fanfic, so good luck to the sages trying to use his research for nefarious means. Dottore is quite invested in the story, though...
Needless to say, he's an important part of the Sumeru Archon Quest (there's two Alhaithams now, but one has a gun and is slightly more unhinged). And one of the first things Nahida did after being saved was scour through Irminsul to see if she can locate any of the Chrysos Heirs from Anaxa's memories (she found Kirara and Barbara).
Now Anaxa is still a teacher in the Akademiya, with a few more students attending his classes (Hat Guy and Layla). He often receives a monthly light novel from Inazuma via Komaniya Express, and is pen pals with Barbara (he traveled to Mondstadt and almost shot Albert in the face before verbally eviscerating Barbara's Fanclub).
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