Research

Research Interests:

My research interests are in geometry, topology, and dynamical systems.  More specifically, I am interested in the SU(2) character varieties of Right Angled Artin Groups (RAAGs), the outer automorphism dynamics on these moduli spaces and the geometric structures on 3-manifolds corresponding to the SU(2) representations on RAAGs.

Submitted:

• Character Varieties of Star-Shaped RAAGs: Topology and Dynamics

with Sean Lawton

[preprint available upon request]

• Representation varieties of RAAGs

with Allen Bao, David Duncan, Jordan Larson and Kelson McBride

[arXiv]

• Representation varieties and genus-three Torelli maps

with Allen Bao, David Duncan, Jordan Larson and Kelson McBride

[arXiv]