Figure out what outlets belong to what breakers
The only answer here is to contact your Facilities Department and ask them.

Your whole idea of throwing big loads into a building on a "rogue" basis is only going to result in breaker trips. And since you can't reset a breaker, you'll end up talking to Facilities anyway, or they may end up having a talk with you.  I know the child's impulse is to sneak until he can't... but when you're adulting, it's better to get out ahead of it and intercept the objection before it becomes one.

Power supply

Your 1050W unit is a DC figure, it will need a power supply (PSU).  That is not 100% efficient.  Some brag 89% efficient, and 94% power factor, and if that's true that means 1255 VA of actual draw.  

This is a continuous load.  That means when provisiong (planning) power to the device, you must derate it by 125%, or 1570 VA.   Normal 120V/15A circuits have 1800 VA available, and one ASIC will totally dominate it with only 230W available for maybe a small console screen.   Larger 120V/20A circuits, sometimes reveaked by the T-shaped neutral socket, have 2400 VA to give, so they also can support one ASIC, and 830 VA of other stuff will fit.  VA is a unit very similar to watts. 

You will not find an 850 watt air conditioner.  This will require a third circuit.  You have not stated any plan to remove 2510 watts of heat energy from a dorm room, and that is a fatal flaw.  



Colleges do not like miners.  The reason is mainly the excessive power used.  When dorms proffer "free electricity" they only mean for incidental use for normal student needs.  They do not mean for you to use it as the primary resource input into a side business that profits yourself - and everyone knows the coin-mining game is All About the cost of electricity. So yes, you are definitely violating campus rules against exploiting university assets for personal gain.

It's different if you're running an ebay business and use the power to run the heat shrink gun 30 seconds a day.  An eBay business doesn't have electricity as its primary resource input. 

You're using a VPN and the traffic is low.  How does their incompetent IT department catch you?  Easier than you think.  Someone from the Facilities Dept. comes out at 5 am and aims a FLIR at the side of the building.  The dorm rooms where power is being overused light up cherry red.  They can do the same by aiming the FLIR at the service panel, the high-current breakers will light up warmer than all the rest.  It's not rocket science.