CURRENT VERSION: March 2026.
CURRENT EMAIL: ck6221@princeton.edu
I am a 4th year Mathematics graduate student at Princeton University, advised by Assaf Naor.
Previously, I was at Texas A&M University where I completed two undergraduate degrees in Applied Mathematics and in Statistics and a masters in Mathematics and was advised by Rostislav Grigorchuk.
I am interested in metric geometry, group theory, random walks, local Banach space theory, and theoretical computer science.
PUBLICATIONS & PREPRINTS
Metric embeddings of cubes into dense subsets of cubes, (with Miltiadis Karamanlis), preprint.
L_1 and L_2 embeddings of the symmetric group, submitted.
The Poisson boundary of Thompson's group T is not the circle, (with Martín Gilabert Vio and Eduardo Silva), submitted.
Lower bounds for the universal TSP on the plane, submitted. A conference version appeared in SODA 2026.
On the density of eigenvalues on periodic graphs, SIAM Journal on Applied Algebra and Geometry 7.3 (2023): 585-609.
On the growth of the wallpaper groups, (with Rostislav Grigorchuk), Acta Crystallographica Section A: Foundations and Advances 78.4 (2022).
OTHER
Lecture notes "Convexities" taught by Assaf Naor, Spring 2025.
Recorded research talk "Lower bounds on the universal travelling salesman problem on the unit square" at Geometric Nonlinear Functional Analysis Workshop, May 2025, Casa Matemática Oaxaca. Here are the slides.