Multi story building hot water pressure
I live in a 5 story building with a sizable hot water heater. When I take a shower, the water will turn instantly ice cold if an upstairs neighbor turns their shower to hot. We have a single hot water pipe that comes up the chase to all apartments and then there is a "T" at each shower. When I get out of the shower (because it is freezing), I notice that the sink hot water is cold too. In addition, when the shower upstairs gets turned off, the hot water comes back within 1 minute.
Please help me figure out what is wrong so that I can have a nice shower. My landlord is open to suggestions and I think the 2 showers above me need low flow shower heads since this seems like a pressure issue and not a hot water volume issue.
Any advice?