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

I am a fourth-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. I enjoy thinking about fractals, discrete structures, and analysis problems related to the Fourier transform. My current plan is to graduate in early 2026 and search for a research position in math. 

I will be on the job market during the 2025 - 2026 academic year. I am a Canadian Permanent Resident (PR) and am currently in the process of applying for full Canadian citizenship.

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.

Feel free to reach out if you have questions or ideas on any of these problems--I would love to hear from you!

Fun things about myself: I practice Ashtanga and Hatha yoga regularly. I really enjoy spending time outside, rock climbing and hiking in southern British Columbia---especially with my husband, Dimitri, and our rescue dog, Booger. I also love cooking and exploring local restaurants. If you are planning a trip to British Columbia, and need food or outdoor recommendations, please reach out.

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