Homer was a blind Greek poet. Odyssey was one of his books. (PROSE: Timewyrm: Revelation)
Homer met the Twelfth Doctor and Clara and helped them make peace with a bunch of Cyclopses. (COMIC: Doctor on the Menu)
Legacy
According to Sarah Jane Smith, Homer was like an news anchormen of ancient Greece, who heared stories and wrote them down. She believed that some of these stories were based on real happenings. (PROSE: Eye of the Gorgon)
When the First Doctor and Steven Taylor discussed the plans for the capture of Troy, Steven asked why the couldn't use the wooden horse, which the Doctor replied with denial, believing that the whole story was absurd and might have been invented by Homer as a dramatic device. (TV: The Myth Makers)
The Eighth Doctor had a book of Homer in the library in the TARDIS. (PROSE: Reckless Engineering)