Thanks for the website. I’ve looked at other websites, as well as an Audubon Society tree book. It looks a little like the chestnut oak, but I’m still not sure.
No, it’s definitely not a beech or a birch. Beech leaves have little sharp sawtooths at the ends and between the ends of the veins - unlike this one, and birches have sharp sawtooths as well, but at the ends the veins - and you can’t mistake the distinctive birch wintergreen smell when you break off a leaf or a small twig.