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...or live with me in on-campus housing?

If your office is not university property, then the property owner's policies apply, of course.

(If you are referring to your office at your place of employment, though, fwiw bringing pets to work in office buildings is a generally unusual practice and I believe it would be very unlikely for you to find an employer that let you bring your dog to work with you, especially in a corporate setting.)

...or live with me in on-campus housing?

Yes. You may bring your dog to public outdoor areas on campus, provided that you abide by various rules. From UCLA policy #135 (version at time of this post became effective in July 2019):

There isn't a central resource for university pet policies so your best bet is to visit their web site and either use their search feature if they have one available (to limit your search to official university provided info), or poke around on the site. If they do not have an easy way to find or navigate to policy info on their web site, then use your favorite general search engine, taking care to look at official and up-to-date sources. "University name pet policy" is a good bet for search keywords.

Yes, you may bring your dog to public outdoor areas on campus, provided that you abide by various rules. From UCLA policy #135 (version at time of this post became effective in July 2019):

There isn't a central resource for university pet policies so your best bet is to visit their web site and either use their search feature if they have one available (to limit your search to official university provided info), or poke around on the site. If they do not have a way to find or navigate to policy info on their web site, then use your favorite general search engine, taking care to look at official and up-to-date sources. "University name pet policy" is a good bet for search keywords.