Research
I work in geometric group theory with a focus on studying curves on surfaces, and generic properties of random groups.
Papers:
The primitivity index function for a free group, and untangling closed curves on hyperbolic surfaces with an appendix from Khalid BouRabee, (Joint with Ilya Kapovich)
Math. Proc. Cambr. Phil. Soc. (to appear), First View version at the publisher's website
Invited Talks:
Effective and Algorithmic Methods in Hyperbolic May, 2016
Geometry and Free Groups, ICERM, Brown University
A theorem in a picture!
Contributed Talks: