Wikipedia is actively trying to involve the cultural heritage sector with its Galleries, Libraries, Archives and Museuems (GLAM) effort. A big part of this effort has been Wikipedian in Residence programs at organizations such as OCLC, the British Museum, the British Library, the US National Archives, the Smithsonian, etc (the full list is available here).
The work of a resident has included training staff on how to use Wikipedia as a reference source, edit articles, and upload content to the media commons, as well as guidance on how to enrich Wikipedia with links to content that libraries, museums and archives put online. There is also the opportunity to do more if you have new ideas for collaboration.
Does your institution encourage you to engage with the Wikipedia community? Does it actively discourage you from using/contributing to Wikipedia? Do you have any examples of things you have done with Wikipedia in the context of your work?