John Ronald Reuel Tolkien was an Oxford don and the author of The Lord of the Rings. While working at a garden centre, Fitz Kreiner had a conversation with a woman who incorrectly named him as R. J. Tolkien. Fitz convinced her that the character of Frodo had been named after a woman with whom Tolkien had a relationship. (PROSE: The Taint)
Tolkien briefly met the Eleventh Doctor and Amy Pond during a readthrough of The Professor, the Queen and the Bookshop by C. S. Lewis. He didn't like Lewis' work much, because "it didn't include half-a-dozen made-up languages". (COMIC: The Professor, the Queen and the Bookshop)
Behind the scenes
Although he's never called by his full name in Professor, he's called John.