Capitalize “University” when it refers to the University of Rochester.
The use of “Rochester” to refer to the University of Rochester is acceptable when the reference is clear. Compare: “He works at Rochester” to “She lives in Rochester.”
Avoid “U of R,” “UR,” “U of Rochester” except in informal presentations, quoted material, social media, or where the use has been sanctioned. Use the article “the” in referring to the University of Rochester in running text, but the article is not capitalized.