Sanjeevi Krishnan

sanjeevi@math.osu.edu | |

Math Tower 754 | |

231 West 18th Avenue | |

Columbus OH, 43210-1174 | |

(614) 292-8434 |

I assist professors in math at OSU. This semester, I'm co-organizing the Reading Semigroup along with Ranthony Edmonds and John Johnson.

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

This semester, I'm teaching Homotopy Theory (OSU Math 7811). For students, the course page can be found on Carmen.