I'm not sure of specific names off - hand. But often, those who are really well - versed in the Percy Jackson lore and have a great sense of storytelling tend to be popular. They are the ones who can write in a style that feels like it belongs in the Percy Jackson world.
Some popular authors in this area could be those who are able to blend different elements from the Percy Jackson books in unique ways. For example, an author who combines the humor of Percy's character with a really dark and mysterious plot. Or someone who can write a great romance story between two characters from the series in a way that feels natural and exciting. It's often these creative and skillful writers who become popular in the world of Percy Jackson fanfiction.
There could be some fans who have been writing fanfiction for a long time and have built up a following. These authors might be known for their consistent quality. Maybe they are great at writing Percy's internal monologues or creating new and exciting demigod characters. They are the ones who can keep readers hooked with their engaging plots and vivid descriptions.