Current Version: October 2026.
Current Email: ck6221@princeton.edu
I am a 5th year Mathematics Ph.D. student at Princeton University, advised by Assaf Naor.
I am on the job market for a postdoctoral position and expect to graduate this May 2027.
I work on the bi-Lipschitz geometry of metric spaces and its applications to group theory, computer science, and beyond.
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 advised by Rostislav Grigorchuk.
PUBLICATIONS & PREPRINTS
Metric embeddings of cubes into dense subsets of cubes, (with Miltiadis Karamanlis), submitted.
L_1 and L_2 embeddings of the symmetric group, accepted in Groups, Geometry, and Dynamics.
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, to appear in Discrete and Computational Geometry. 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 MATERIAL
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. (Due to technical complications, the first 5 minutes have no audio.) Here are the slides.