Recently, I've been fascinated by the mathematical structures called sheaves. Originating in algebraic geometry, sheaves are incredibly powerful tools that can connect seemingly distant ideas in beautiful ways. Their ability to fit into so many mathematical concepts comes at the cost of being very abstract and hard to pin down. Just look at the mathematical definition of a sheaf. It makes like no sense unless you already know what a sheaf is. In short, a sheaf is a tool that allows us to look at something at a very small resolution and stitch together our "local" observations to construct a "global" understanding of the object in question.
Currently, I'm thinking of ways we can use sheaves and all that they can do for us to study neural systems and neural populations. It makes