Current Version: July 2026.

Current Email: ck6221@princeton.edu

• I am a 4th to 5th year Mathematics Ph.D. student at Princeton University, advised by Assaf Naor. 

I expect to graduate this May, 2027.

• 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.

RESEARCH INTERESTS

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), submitted.

• 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, 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. Here are the slides.