Hi, I’m Mori. I like to approach complex questions via deep mathematical structures
Top-down
Some big pictures [How questions tend to be asked in my mental landscape]
Linearization + boundary conditions = categorified representation theory
Analytic vs Algebraic deformations of a system
Eidostates and categorification
Bottom-up
Structures I'm investigating [Building blocks of my mental landscape]
Infinitesimal geometry over the sphere spectrum
Tannaka duality in (infinity, infinity) -categories
Koszul Duality as the salient structure underlying both areas above
Living questions
Some questions I find to be generative as of late (updated: Apr 15 2024)
- How do formal group laws arise in nature/complex systems?
- How to encode the synchronization/resonance of different clocks in an organism using cyclotomic structures/genuine circle actions?
- What does an adaptive system look like as a structure on a moduli space of functors?
I’m best reached via email, or in person - for the moment - in Montreal, Canada