university vs University of Texas at Austin

university and University of Texas at Austin both are nouns.

Word	Noun	Adjective	Verb	Adverb
university	Yes	No	No	No
University of Texas at Austin	Yes	No	No	No

university (noun)	University of Texas at Austin (noun)
establishment where a seat of higher learning is housed, including administrative and living quarters as well as facilities for research and teaching	a university in Austin, Texas
the body of faculty and students at a university
a large and diverse institution of higher learning created to educate for life and for a profession and to grant degrees