Landlord hasn't made repairs for over 1 month, won't adjust rent and I just moved in a month ago, repairs were needed before I moved in

I moved in a month ago and the landlord was supposed to fix my broken closet doors which are still off the track, broken tiles covered by duct tape in bathroom and a few other things. He said they would be fixed the first week but he keeps pushing it back for a month and now says another 7-10 days. He is still charging me full months rent. refuses to give me the landlords contact info. I have emails of every conversation from July 1 on proving him saying he fix it but pushes it back again and again. Now I don't think it's fair to pay full price for the apartment when it's not ready to move in. What can I do? I'm trapped here and the lease is for a year....this means he can keep pushing this back as long as he wants and I have to pay him full price??