Is the Trespass Joseph jacket waterproof?

It has a laminated TPU membrane shell, sealed seams and a water-repellent finish, which handles snow and light rain. It is not a fully waterproof hardshell for sustained heavy rain.

Can the hood be removed?

Yes. The hood zips off, which helps if you wear a helmet or want a lighter jacket on milder days.

What sizes are available?

Listings show alpha sizes M and L. Check the brand's size chart, since fit is described as adjustable.

Is it warm enough for winter skiing?

It is padded with synthetic polyester fill and rated warm, so it suits typical resort skiing with a base layer. Very cold days may call for an extra midlayer.