Ben Sprott
I am working on applications of category theory. I work in the private sector and do my research as a hobby. I am developing a categorical approach to science where the concept of data is embedded in a natural way and is well understood. I have done work to address how theories relate to experiments. I like to think about the causal structure approach to quantum gravity. I have looked for Bimonads on Set as analogies to Frobenius monads on Symmetric Monoidal Categories like Hilb. I have been looking at the adjunctions into the Giry monad, and just factorizations of Monads in general. I am also revisiting the idea of generalizing the Giry Monad, for instance setting in a suitable category of categories, or creating a (co)monad that captures probability measures. I have found the work of Brendan Fong interesting and was trying to show that Causal theories are internal categories and are also Bimonads (in the case of Sets). Recently, I have been fascinated by the use of Monads to capture data structures, in the form of containers like Lists, and how this is related to fundamental physics.

Ottawa, Canada

Member for 8 years, 3 months

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