Oxford vs Oxford University

Oxford and Oxford University both are nouns.

Word	Noun	Adjective	Verb	Adverb
Oxford	Yes	No	No	No
Oxford University	Yes	No	No	No

As nouns, Oxford and Oxford University are synonyms defined as:

Other synonyms of Oxford include University of Oxford.

Oxford (noun)	Oxford University (noun)
a university in Oxford, England	a university in Oxford, England
a city in southern England to the northwest of London; site of Oxford University
a university town in northern Mississippi; home of William Faulkner