I work on research at the intersection of metric geometry with other fields of mathematics including analysis, dynamical systems, group theory and number theory. My primary focus is on the geometry of the Heisenberg group and more generally sub-Riemannian spaces. I am also interested in computation and visualization related to these spaces, including applications to computer science, biology, and robotics.

On the teaching side, I am committed to providing students with early access to research-level mathematics in a supportive and inclusive environment. This includes running and facilitating semester-long undergraduate research projects in the Mason Experimental Geometry Lab, the use of inquiry-based learning in the classroom, and a focus on community engagement beyond the university.