Well dragonology really doesn't have a place since dragons aren't biological beings. While i do regard them as spirits it'd be hard to study energy as such.
Elements as in Ritual magick or kinetics?
Alchemy magick? I more use alchemy as a visualization process for changing energies into something more desirable. Like headaches into well, not headache.
Not too polished in the divination area. Might try your luck with someone who knows a bit more ab out necromancy.
Sigils, that's one of my favorites. They are usually a drawing of an entity, desired outcome, or thoughtform. Draw how you wish, but put conscious energy into it.
Runes, i suggest looking up the meanings of the "Elder Futhark" in google. You can buy a set or fashion your own.
Beast gates? Sounds a bit fluff and you're a bit skeptical sounding yourself.
I'd try researching "high magick the elemental adept by kab tobias" in google. Great work on summoning elementals the kabbalistic way.