Research Interests:
I am interested in geometric structures and their deformation spaces, specifically the geometric and topological aspects of higher Teichmüller theory.
Currently, I am investigating the topology of the domain of discontinuity for Anosov representations. Few cases are known and I hope understanding examples in low dimensions/rank will shed light on the larger structure at play.
In Preparation:
Topology of domains of discontinuity for Anosov representations via circle actions
Conferences/Workshops Attended:
2025
Geometry and Dynamics in Higher Rank Lie Groups, SLMath (July 2025)
Higher rank geometric structures, IHP (April 2025 – June 2025)
2024
Moving to higher rank: from hyperbolic to Anosov, Cetraro (July 2024)
2021
BRIDGES 2021, Salt Lake City (July 2021)
Talks:
"Topology of domains of discontinuity via circle actions & h-cobordism", Institut Henri Poincaré (June 13, 2025)
"Topology of domains of discontinuity for complex Anosov representations", CIRM (April 17, 2025) Slides
"The Euler characteristic of a compact homogenous space", UVA Graduate Student Seminar (March 22, 2024) Slides
Notes and Materials:
These are slides for a talk I gave in Sara Maloni's Kleinian Groups class (Fall 2024) on symmetric spaces and characterizations of Anosov groups. Slides
This is a Desmos model for the symmetric space of SL(3,R) as ellipsoids in R³. More animations are linked in the slides above that highlight different aspects of the geometry of symmetric spaces. Link
These are notes on domains of discontinuity for Anosov representations for a mini-course I gave in Sara Maloni's reading group. Notes