Research
I focused on the field of geometric group theory, and also enjoy combinatorics and whatever field random groups belongs in. I've also always been a fan of discrete math and graph theory. My advisor is Daniel Groves.
My research has to do with cubulating random groups, and is tangentially related to a huge movement in geometric group theory right now, covered nicely in this article by Erica Klarreich . By "huge" I mean maybe 200 people in the world know about it. My CV (link above) has a list of publications, talks, etc. Here is a link to a video of me giving a talk at the Women and Mathematics program at the Institute for Advanced Study in summer of 2016. Here is a link to my thesis.
If you are an advanced undergraduate, early graduate student, or just a curious person, I have some suggestions on how to learn some cool math (besides reading my blog, which you should also do). One of the first papers I read in graduate school was a seminal paper by John Stallings which has inspired so much math in the decades since. It's blogged about at Low Dimensional Topology which is probably an easier start than dividing into the paper. I also highly recommend the notes from Sageev's PCMI lectures which come with exercises and are a great introduction to cube complexes. If you are a group of early-advanced graduate students, I recommend figuring out what's going on in Kirby and Scharlemann's paper about the Poincaré homology sphere.
