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)Â
arxiv.org/abs/2406.18774. Geometriae Dedicata 219,37(2025).
Left-invariant Riemannian distances on higher-rank Sol-type groups. arxiv.org/abs/2412.11290. To appear in Groups, Geometry, and Dynamics.
Groups acting on horocyclic products (with N. Caplinger). arxiv.org/abs/2511.16809.
Talks Given
I have spoken or will speak at the following conferences and seminars (newest to oldest):
University of Wisconsin - Madison Group Actions and Dynamics Seminar, Madison, WI, 11/2025
University of Wisconsin - Milwaukee Topology Seminar, Milwaukee, WI, 4/2025
Bowling Green State University - University of Toledo Geometry and Topology Seminar, virtual, 4/2025
Spring Topology and Dynamics Conference, Geometric Group Theory session, Christopher Newport University, Newport News, VA, 3/2025
University of Virginia Geometry Seminar, Charlottesville, VA, 1/2025
George Mason University Metrics, Measures, and Algorithms Seminar, Fairfax, VA, 1/2025
Rice University Topology Seminar, Houston, TX, 10/2024
AMS Spring Central Sectional Meeting, University of Wisconsin - Milwaukee, Milwaukee, WI, 4/2024
Joint Meetings in Mathematics, San Francisco, CA, 1/2024
Graduate Student Concentration Week in Metric Geometry, Texas A&M, College Station, TX, 7/2022
Graduate Conference in Geometry, Topology, and Algebra, Temple Univesity, Philadelphia, PA, 5/2022
Spring Topology and Dynamical Systems Conference, Baylor University, Waco, TX, 3/2022
Dynamics Seminar, University of Wisconsin, Madison, 12/2021
Research Statement