Does laughter differ between the sexes?

I'm sure it does, particularly the uses to which the sexes put laughter as a social tool. For instance, women smile more than laugh, and are particularly adept at smiling and laughing with men as a kind of "social lubricant". It might even be possible that this has a biological origin, because women don't or can't use their physical size as a threat, which men do, even if unconsciously.

And between cultures?

Cultural differences are certainly part of it. Loud, raucous laughter with exaggerated movements and expressions is considered "unfeminine" in most cultures, and is much more common among men, particularly if they're with other men. In several situations I see laughter used, apparently unconsciously, to help get things as diverse as power, friendship, a lover or truthful behaviour from subordinates. For instance, socially dominant individuals, from bosses to tribal chiefs, use laughter to control their subordinates. When the boss laughs, their minions laugh too. Laughter might be a form of asserting power by controlling the emotional climate of the group, and it also has a dark side. There are theories that laughter and aggression have common origins, with some kinds of laughter in primates apparently being threatening--just look at the way they bare their teeth. That might explain why being laughed at is so unpleasant.