carrel

Carol, or Carrel. A little pew, or closet, in a cloister, to sit and read in. They were common in greater monasteries, as Duram, Gloucester, Kirkham in Yorkshire, &c.; and had their name from the carols, or sentences inscribed on the walls about them, which often were couplets in rhyme. [Carola, Low Latin.]

He was busy writing his report in a small library carrel.