nerd vs student

nerd and student both are nouns.

Word	Noun	Adjective	Verb	Adverb
nerd	Yes	No	No	No
student	Yes	No	No	No

As nouns, student is a hypernym of nerd; that is, student is a word with a broader meaning than nerd:

nerd: an insignificant student who is ridiculed as being affected or boringly studious
student: someone (especially a child) who learns (as from a teacher) or takes up knowledge or beliefs

Other hypernyms of nerd include assimilator, learner, scholar.

nerd (noun)	student (noun)
an insignificant student who is ridiculed as being affected or boringly studious	a learner who is enrolled in an educational institution
an intelligent but single-minded expert in a particular technical field or profession	someone (especially a child) who learns (as from a teacher) or takes up knowledge or beliefs