write up something/someone
— phrasal verb with write us/rɑɪt/verb [ I/T ] past tense wrote /roʊt/, past participle written /ˈrɪt·ən/
to record something completely on paper or on a computer, often using notes that you have made:
We have to write up the lab report for chemistry.
To write up something or someone is also to write an article or report about that thing or person that is then published:
My sister was written up in the school newspaper.