Collocations for student - noun

brilliant, good, straight-A, talented
one of the best students the college has ever had

college, school, university
A level, sixth-form (both BrE)
full-time, part-time
prospective
first-year, second-year, etc.
graduate, postgraduate, research, undergraduate
doctoral, master's, PhD, etc.
mature (BrE)
She studied metallurgy as a mature student.

former, old
She's a former student of mine who graduated in the 80s.

fellow
He developed the website in collaboration with his fellow students.

foreign, international (esp. AmE), overseas (BrE)
exchange
I first came to America as an exchange student.

art, engineering, law, medical, music, etc.

enrol/enroll
Ninety-four students were enrolled in the class.

educate, instruct, prepare, teach
engage, motivate
teachers who engage students in meaningful discussions

assist, encourage, help
The students are encouraged to think creatively.

nurse, teacher
numbers, population
Student numbers at the college have increased by 25%.

body (esp. AmE), council, government (AmE), group, organization
days
She worked hard in her student days.

life
I'm thoroughly enjoying student life.

participation
enrolment/enrollment
grant (esp. BrE), loan
She had to take out a student loan to help her through college.

accommodation (BrE), dorm (informal), dormitory
newspaper
visa
activism, demonstration, protest, unrest
He often takes part in student demonstrations.

activist

as a student
She first went to Paris as a student.