I study geometric group theory, the study of groups through their actions on metric spaces. I am particularly interested in groups that act by isometries on hyperbolic metric spaces. My research focuses on the following main areas:

• relatively hyperbolic groups and relatively quasiconvex subgroups, and applications of relative Dehn fillings.
• acylindrically hyperbolic groups and possible notions of quasicovex subgroups of them.

I’m also interested in the following areas:

• hierarchically hyperbolic groups and spaces, which include mapping class groups, fundamental groups of 3-manifolds, and CAT(0) cubical groups

Publication

Preprint

1. A notion of quasi-convex subgroups in acylindrically hyperbolic groups ([arXiv] , Poster, Talk (on Youtube))

In Preparation

1. Quasiconvex Subgroups of Relative Hyperbolization Like Groups (2026 expected).

Conferences and Workshops

Here is a list of places we may have met before:

• August 19-21, 2026: Summer 2026 Wasatch Topology Conference at the Sheraton Hotel in Park City, Utah.

• March 2026: Recent Progress in Topological and Geometric Structures in Low Dimensions at SLMath in Berkeyly, California.

• August 13-15, 2025: Summer 2025 Wasatch Topology Conference at the DoubleTree by Hilton Hotel Park City - The Yarrow, in Park City, Utah.

• June 09-20, 2025: Thematic Program in Discrete Groups in Topology and Algebraic Geometry at the University of Notre Dame.

• June 2-6, 2025: Midwest Summer School in Geometry, Topology, and Dynamics at the University of Wisconsin–Madison.

• May 16-18,2025: AWM Research Symposium 2025 at the University of Wisconsin-Madison.

• May 09-12, 2025: Riverside Workshop on Geometric Group Theory at the Universityof Virginia.

• April 25-27, 2025: Midwest Dynamic System Conference Northwestern University at the Northwestern University.

• April 07-11, 2025: Young Geometric Group Theory XIII at the University of Copenhagen.

• March 29, 2025: Geometry, Groups and Dynamics Workshop at the Purdue University.

• November 8-10, 2024: 68th Texs Geometry and Topology Conference at the Texas A&M University.

• May 03-06, 2024: Riverside Workshop on Geometric Group Theoryat the University of Carlifornia, Riverside.

• November 10-12, 2023: 66th Texas Geometry and Topology Conference at the Rice University.

• August 7-11, 2023: Groups, Actions, and Geometries at the Tufts University.

• May 26 - 28, 2023: Graduate Student Conference in Algebra, Geometry, and Topology at Temple University