Research and Notes
My area of research is in affine structures on manifolds. These are essentially manifolds for which the coordinate changes are locally given by affine mappings. Recently, I've been looking more into discrete subgroups of Lie groups, and a little more specifically questions about local rigidity.
Here are some papers I've work on and notes I wrote that I thought are worth sharing. I'm attempting to get into the habit of .tex-ing up my notes in areas that I find interesting and have the time to do so.
Papers
- Progress on Projective Rigidity of Figure Eight Knot Complement (in preparation)
- Closed Affine Manifolds with an Invariant Line. (preprint)
- Algebraic $k$-systems of Curves. Jonah Gaster, Maxie Lahn, Aisha Mechery, and Simran Nayak. Geometriae Dedicata. 209, 125-134 (2020)