Sanjeevi Krishnan

I am interested in directionality of all sorts. I'm primarily interested in directed algebraic topology, a refinement of clasical algebraic topology for spaces with some structure of time on them. The need to qualitatively describe a complex process from the qualitative properties of its state space goes back to the origins of algebraic topology. The need to sytematically take into account causal structure motivates the nascent subject of directed algebraic topology. The field draws ideas from, admits some applications to, and hopefully one day unifies some core concepts from semigroup theory, dynamics, optimization, and computability theory.

intro article