I wouldn't be so dismissive of the overlap. A friend of mine has a math PhD and got a 32 on the Putnam each time he took it, which if you're familiar is proof h

I wouldn't be so dismissive of the overlap. A friend of mine has a math PhD and got a 32 on the Putnam each time he took it, which if you're familiar is proof he's no joke when it comes to math skills. He spent his career as a quant on wall street modeling economic relationships because it paid a lot more than staying pure math.