Mark Greenfield

About Me |

Research |

Teaching |


Research Interests

Most of my work is in geometry and topology. To be more specific, I have spent some time on Teichmüller theory (see my papers with Dmitri Gekhtman and Lizhen Ji, below). Here are some slides about my work on isometric submersions of Teichmüller spaces. I am also interested in applications to other fields (not necessarily pure mathematics).

I defended my thesis on February 5th, 2021. It is entitled Some New Directions in Teichmüller Theory. My defense talk was virtual; slides are available here.

Accepted Papers