Here - if I have done this correctly - are pictures of the tree, of a branch, and of one leaf, of a tree at the edge of my garden. It started growing about 6 years ago and took off in the last two years; it is now about 8' tall. I will dig it up and either compost it or find some home for it, depending on whether it is or is not worth saving. But since it is a volunteer, I have no idea what it is. Can anyone tell?
It has a birch-like aspect. Perhaps: http://linnet.geog.ubc.ca/Atlas/Atlas.aspx?sciname=Betula pendula