Someone recently asked me whether the Rambam had any students. In addition to the Rambam's son and the student for whom he wrote the Moreh Nevuchim, I could think of only one other student. (רבינו פרחיה who wrote a commentary on שבת is a talmid, I think, but I would appreciate information about him too.) Does anyone have any information about other students and whether the Rambam had a yeshiva, etc.?
There is a Sefer - Maamar Rabbi Yosef Ben Yehuda Talmid HaRambam.
Found a brief discussion here:
The Rambam was apparently not the head of a yeshiva, but instead surrounded himself with a few students. Possibly, the many obligations which he describes in his letter to R. Shmuel ibn Tibbon prevented him [from establishing a yeshiva], or perhaps there were other reasons. Either way, he taught a few important students, and studied with them Talmud, the Rif, or his Mishneh Torah, each according to what his heart desired... Among his students, only a few are known, such as his prime disciple R. Yosef ibn Enkin (who later settled in Baghdad and Aleppo) and R. Saadya son of Berakhot the Teacher.
Also found this article which discusses the importance of recently published writings of the Rambam's students for understanding the Rambam.