Research

Interests

My research interests in Geometric Group Theory include solvable and nilpotent groups, quasi-isometric rigidity, scaling groups, and manifold groups.

Papers

Metric Spaces of Arbitrary Finitely-Generated Scaling Group. arxiv.org/abs/2205.04367

Indiana Univ. Math. J. 73:4(2024)

Finite state machines for horospheres in hyperbolic right-angled Coxeter groups (with N. Jillson, P. Saldin, K. Stuopis, E. Wang, and K. Xue) 

https://arxiv.org/abs/2406.18774. Submitted to Geometriae Dedicata.

Left-invariant metrics on higher-rank Sol-type groups (with T. Dymarz). In preparation.

Talks Given

I have spoken or will speak at the following conferences and seminars:

• Dynamics Seminar, University of Wisconsin, Madison, 12/2021

• Spring Topology and Dynamical Systems Conference, Baylor University, Waco, TX, 3/2022

• Graduate Conference in Geometry, Topology, and Algebra, Temple Univesity, Philadelphia, PA, 5/2022

• Graduate Student Concentration Week in Metric Geometry, Texas A&M, College Station, TX, 7/2022

• Joint Meetings in Mathematics, San Francisco, CA, 1/2024

• AMS Spring Central Sectional Meeting, Milwaukee, WI, 4/2024

Research Statement