I request your help for making the best move to get an interview. Here is the case. I am working under the President of a top university and due to funding issues, my project will not be extended. He tried to keep me within the team but due to administrative issues, he can't keep me for long.
Meanwhile, I applied for another position within the university. It's a collaboration between my university and another institute close by and falls under the office of the President. However, the role reports to the Director of a school and the director reports to President. I talked about this position to the President last week and let him know my interest. He explained to me about the position, who all are involved in it, and who is the hiring person, etc. He also asked me to update my profile with his name as the reference.
It's almost 4 weeks after I applied for the position and I haven't heard anything about it. I called the HR and they said it's still open and my resume is with the hiring manager. Since the President asked me to keep him as the reference,and also provided the details of the hiring person I'm wondering whether it's a good move to contact the hiring person and request for an interview?