Auckland University is located in the heart of the city, between Albert Park and the Auckland Domain. It is the largest, most comprehensive and highest-ranked university in New Zealand.
The formal name is The University of Auckland, and the website is here.
I found the remnants of the Albert Barracks wall here. I also wandered around the main campus, including the Quad and the library. In the library, I found a small museum dedicated to old computing devices.
