I'm a sixth-year PhD student in pure mathematics at the University of Illinois at Chicago. I'm studying geometric group theory under the supervision of Daniel Groves. I will be on the postdoc job market in Fall 2025!
Research
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, in particular relative Dehn fillings and the applications
- 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
Here you can find a poster on my paper in preparation: A notion of quasi-convex subgroups in acylindrically hyperbolic groups.
Conferences and Workshops
Here is a list of places we may have met before:
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
Teaching
I obtained the Certificate in the Foundations of College Instruction at May 2023.
Here is an abbreviated list of previous courses I've taught at UIC:
MATH 210 Introduction to Differential Equations
MATH 181 Calculus II
MATH 180 Calculus I
MATH 179 Calculus I Emerging Scholars Program Workshop (Instructor of Record)
MATH 165 Calculus for Business
MATH 121 Precalculus