Ok spoiler alert. I am a UW Graduate and have a degree in Art History, but I always enjoyed going here almost 30 years ago. The museum is large an eclectic, and the UW doesnt have a collection or endowment like Yale for example, but the art they do have and the exhibitions they hold are still impressive. It also helps the art history department is largely housed in this building which used to be called the Conrad Elvehjem Building/Museum until the re-naming due to donation money I am sure. But if you are going to Madison, this is a must-go. Just wander and enjoy. I hear they have expanded and added to the building, which is great as more of its collections will be on view.
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