Riddle of the Day!!!

It was the first day of college when a young girl was found dead on the college premises. The police narrowed down four suspects.
1) The Dean – He claims he was in his office the whole day.
2) The Maths Teacher – She claims that she was giving her students grades.
3) Peon – He claims that he was bringing the mails.
4)  Mathew РHe claims he was cleaning the roof of the college.

Who is the murderer?

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