Dr. Simeon studies and collects samples for the Great Intelligence in 2012 Christmas special "The Snowmen".
Source: The Doctor Who Locations Guide
The Doctor takes Clara and Rigsy to the map room in the library to find old maps in episode 9x10 "Face the Raven".
The Doctor calls Bill in to his office and arranges to tutor her in episode 10x01 "The Pilot". The TARDIS arrives back in the Doctor's office just as Nardole is entering with tea in episode 10x03 "Thin Ice". The Doctor and Bill return to the university which is under the monks' control in episode 10x08 "The Lie of the Land". Appears in 1 more episode.
Source: Doctor Who — Tumblr