Buddhism and stoicism are highly compatible with each other.
Stoicism is fairly simple. Here is a (too) short summary:
Our normal impulse is to see misfortune, loss, death, and the choices of others as primary concerns, since they can significantly affect our lives. But this is where the Stoics deviate from our natural inclinations. They offer a bold new take: a thing doesn’t automatically become your concern just because it might affect you. (The Only Thing You Need to Get Good At)
Be sure to read the article linked above. It provides more information and links.