Using Snow Leopard and Ulysses 2.0.1, I'm getting relatively frequent crashes. I've noticed this takes place especially soon after exporting (as LaTeX), when I switch over to TeXShop to produce the PDF. Not always, but numerous times in an evening's writing session. For what it's worth, this happened both (a) when I upgraded Leopard to Snow Leopard, and (b) after I did a clean install of Snow Leopard. Many thanks.
I cannot say I have had frequent crashes—using the same workflow—and the ones I had occur within Ulysses, unrelated I think to export. Did you copy the crash report Snow Leopard generates and file it in Mantis?