Mon, 01 Jan 0001 00:00:00 +0000

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

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

In Preparation

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

Conferences and Workshops

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

Mon, 01 Jan 0001 00:00:00 +0000

Current Teaching

Math 180 Calculus I

Previous Courses

MATH 088 Intermediate Algebra Workshop (Instructor of Record)

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

I obtained the Certificate in the Foundations of College Instruction at May 2023.