Intelligence and progress are not the same thing. You claimed alegbra was invented in a hot weather place, which is simply not true. To paraphrase Lee Kuan Yew, if not for air conditioning, Singapore would still be a backwater.
That 1500 BC Babylon was neither a cold-weather clime nor an arid clime is evidence against the cold winter hypothesis.
(To your point about intelligence vs. progress, it's suggestive evidence, not dispositive evidence, but the amount of suggestive evidence over the course of human history makes the cold winter hypothesis pretty funny.)