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For Jewish women, the commandment is "kisui rosh," which means "covering the head," not "covering the hair." The custom -- which goes above and beyond the mere bare-bones commandment -- is that a married woman (or a woman who has ever been married, in the non-Ashkenazi world) keeps her hair covered and hidden.

In practical terms, a great many Jewish women find it easier to cut their hair shorter in order to make sure it's covered. Not only that, but when we go to the mikvah each month (look it up; Wikipedia isn't perfect, but it's pretty good), it's easier to make sure all of our hair goes under the water and isn't tangled if it's short rather than long. In fact, there is a tradition among some Ashkenazi Jews that a woman shaves her head on the night before her wedding, and wear either a wig or a scarf/cap/hat/other cover for the rest of her married life.

I prefer mine longer, but it actually refuses to grow beyond shoulder length, ever since I was about 11 or 12 years old.

It's kind of embarrassing, but my hair is really short right now because my daughters came home from school with lice, and there wasn't anyone willing or able to help me with my own hair, so I shaved it off.

I haven't given too much thought to the religious implications of hair cutting, but I might think about it now.

most married women i know keep their hair long at about shoulder length but they have all of it covered

i know in some of the charedia dn breslev sects/tradition the women shave all their hair off once they get married and only a few allow women to wear sheitels(wigs). for example the toldos aharon shave their hair once they get married and keep it shaved but they can only really wear techiels(scarfs) on their head.

while i was at seminary one of my rabbis taught us that in the old days some women would shave their heads for kabbalistics reasons if it helps any