Nerd things, Wash would like to volunteer for nerd things. Still hates the sciency shit in the military base, but he hates it and therefore must learn more about it. He's also aware that Barrayar kind of doesnt have the resources to know much about wormhole bullshit, so might as well try and learn and absorb everything he can from the Cetas before hauling ass.

Neurology: 3, knows a fair amount about implants but he won't be keen to share
Astrophysics: 3, spaceman knows how to space
Mathematics: 2, is a big nerd but not a mathematician
Mechanical Engineering: 4, fixed a comm tower and made a helmet in a cave out of a box of scraps or something
Aerospace Engineering: 3, knows how that stuff works in his universe at least