Forget nothing provided by US university (4)
I believe the answer is:
omit
'forget' is the definition.
(to omit to do something is to forget to do it)
'nothing provided by us university' is the wordplay.
'nothing' becomes 'O' (looks like zero - 0).
'provided by' is a charade indicator (letters next to each other).
'us university' becomes 'MIT' (Massachusetts Institute of Technology).
'o'+'mit'='OMIT'
(Other definitions for omit that I've seen before include "Leave out, do not include (4)" , "Exclude - neglect" , "Fail to mention" , "Exclude; veto" , "Exclude; forget to include" .)