Just fyi, for a non-regex version of this, depending on the language you're in, you could use a combination of the substring and lastIndexOf methods. Just find the last index of the "/" character, and get the substring just after it.
i.e., in Java
String targetString = "a/string/with/slashes/in/it";
int lastSlashIndex = targetString.lastIndexOf('/');
String everythingAfterTheFinalSlash = targetString.substring(lastSlashIndex + 1);