student vs nerd

student and nerd both are nouns.

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

As nouns, nerd is a hyponym of student; that is, nerd is a word with a more specific, narrower meaning than student:

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

Other hyponyms of student include memoriser, memorizer, quick study, sponge, dweeb, grind, swot, wonk, tutee.

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