I recently purchased a house with my boyfriend in the District of Columbia. Relationship over, the loan for the house is in my name only, but he is on the deed, how can i get him removed, what are my rights and what are his? He is being very difficult about the situation, so I know this will be messy.

Unfortunately, you made a big mistake by putting him on the deed when he has no share in the mortgage. If he's not willing to cooperate, extricating him from the deed could be expensive.

Your ex-boyfriend could sign a quit claim deed to give you his share of the house. That would be the quickest and easiest way. At the far end of the spectrum, either one of you can petition the courts for a partition suit. In that case, the judge orders the property sold and the proceeds divided among the owners. You could offer to buy him out in order to get him to agree to giving you a quit claim deed.

This is a suggestion.
Get an attorney and if he insists on half ownership, sue him for half of all of the mortgage payments and if he is not willing to pay, ask him to then quitclaim his half ownership to you.
The property will likely be sold, and proceeds split, but request offset and reimbursement for half of the mortgage amounts that he never paid and claim that y ou are due reimbursement so that he is not unjustly enriched.
Consult an attorney because if this is going to get ugly, at some point either you or him will get an attorney and go after the other, so if you are ready to address this, then go for it.