CRJ-900 Captain reported encountering wake turbulence departing JFK in trail of an A321. Reporter recommended that ATC take crosswind components into account when deciding on appropriate departure intervals.

Narrative

Departing on 22R. We were originally given 31L/KE but the tailwind component would exceed 10 knots. We got in line after a CDR was given behind a 321. It was nighttime just after sunset. Wind 180 at 13 with a gust factor approximately. After the 321 took off we were cleared to take off; both runway heading. At about 400-500 feet we hit the wake of the plane if front of us. It was so significant that maximum left aileron wasn't enough and the nose had to be lowered. Just below 1000 feet we exited the wake and recovered to a normal flight regime. I don't believe an unusual attitude was entered. No 'bank angle' sounded. But maximum aileron was applied. Cause: The timing and spacing of the departures seemed normal. The crosswind is what pushed a vortice into our path. Probably a heavy plane for a long flight. But nothing seemed out of normal. It was just a 321 in front of us. Spacing didn't seem to be an issue. Suggestions: I think that when crosswinds are within certain parameters; spacing should be greater to avoid wake turbulence. Current spacing probably doesn't account for crosswinds which make wake turbulence hazardous at a further distance.