I am really interested in studying how syntax is connected to cognition. I would like to see if the conceptual nature of metaphor can also be approached syntactically. But I don't know where to start. Could you maybe name some resources (academic papers), or provide any type of guidance?
Lakoff and Johnson discuss possible relationships between metaphor and syntax in their 1980 book Metaphors We Live By. Their focus is mostly on understanding syntax through the framework of metaphor, rather than the other way around, and some of their examples have been disproven rather thoroughly (like the claim that WITH-accompaniment and WITH-instrument are always the same in every language), but it's still a decent starting point.