I am a 3rd year PhD student in mathematics at Wesleyan University working with Emily Stark. My interests are in geometric group theory, and in particular I study computational properties of groups. Recently, I've been thinking about Dehn functions.

Before joining Wesleyan, I worked in data analytics. I obtained a M.S. from Temple University working with Ed Letzter, and a B.S. from Appalachian State Unversity, both in mathematics.

My pronouns are she/her. You can contact me at krhoads [at] wesleyan [dot] edu.

• Dehn functions — GTA: Philadelphia 2024 • Summer 2024

At the Wesleyan Graduate Student Seminar:

• Applications of corridors — Fall 2024

• Mapping tori and corridors — Fall 2024

• Dehn functions — Spring 2024

• Automorphisms of free groups — Fall 2023

• The word problem in hyperbolic groups — Fall 2022

• Expressions, languages, and machines — Fall 2022

• Computing decisions for finitely presented algebras — Fall 2022

As part of the Directed Reading Program at Wesleyan, I mentored:

• Stefan Hesseling on regular languages and finite state automata in Spring 2024. We used Word Processing in Groups by Epstein, et al. and A Course in Formal Languages, Automata and Groups by Chiswell as reference.

• Amit Piryatinsky and Sam Wheeler on braid groups in Fall 2024. We used A Study of Braids by Murasugi and Kurpita as reference.

I served as a teaching assistant for the following courses at Wesleyan:

• Applied Linear Algebra — Fall 2024

• Linear Algebra — Fall 2023

• Elementary Statistics — Spring 2023

• Design of Programming Languages — Fall 2022

I acted as a workshop leader on graph theory for Sonia Kovalevsky Day at Temple University in Spring 2019, in collaboration with Thomas Ng.

• Geometry and Topology Seminar at Brown and Yale — Yale University • Fall 2024

• GTA: Philadelphia — Temple University • Summer 2024

• Riverside Workshop on Geometric Group Theory — University of California Riverside • Spring 2024

• Fairfield Algebra Regional Meeting — Fairfield University • Fall 2023

• Groups, Actions, and Geometries — Tufts University • Summer 2023

• Graduate Student Conference in Algebra, Geometry, and Topology — Temple University • Summer 2018*