Jacob W. Erickson

CV available here, last updated September 10, 2022

I'm a graduate student at the University of Maryland, College Park, studying under Bill Goldman and Karin Melnick.

I'm interested in Lie groups, Cartan geometries, and locally homogeneous geometric structures.



Papers


"Parabolic Geometries for People that Like Pictures" (aka the Parabolic Geometries RIT)

During the Fall 2022 semester, I ran an RIT on parabolic geometries, with joint supervision from Bill Goldman. The goal of the course was to present Cartan geometries---parabolic geometries in particular---in a more intuitive light, with a heavy focus on visualization and pictures.

Below are some lecture notes from the course. We ended up focusing largely on understanding the models for Cartan geometries, but I plan on eventually filling out more of the course, discussing important topics that we weren't able to cover, and then compiling it into a book.