This is my personal webpage. Most of the information you can find here is related to my career as a researcher in mathematics. 

I am a fifth-year PhD student at the University of British Columbia, where I am supervised by Dr. Malabika Pramanik, and advised by Drs. Josh Zahl and Pablo Shmerkin, as well as Dr. Gábor Somlai of the University of Melbourne. My research studies fractals and discrete structures via the lens of Fourier analysis.

I am on the job market for the 2025 - 26 academic year. I am a Canadian Permanent Resident (PR) and will apply for full Canadian citizenship at the end of 2026.

My doctoral research began by studying the Favard length problem in geometric measure theory. To study the Favard length, I also learned a fair bit about cyclotomic polynomials and the structure of roots of unity.  This led me to think about tiling problems, such as the Coven-Meyerovitch Conjecture. I also think and write about ideas related to line families in Euclidean space, and am especially interested in higher-dimensional analogues of Furstenberg set estimates. Lately, I have also been thinking about variations of Falconer's distance set conjecture.

I am a Vanier Fellow (appointed September 1, 2021), as well as a Killam Scholar (appointed May 1, 2025). 

email: cmarshall(at)math(dot)ubc(dot)ca