Publications
G. Kiss, I. Łaba, C.M., and G. Somlai. (June 2026). Lower bounds for mask polynomials with many cyclotomic divisors. Advances in Mathematics, 224, 46 pp. Journal Link (Open Access).
P. Bright, C.M., and S. Senger (2024). Pinned dot product estimates for fractal subsets. Research in the Mathematical Sciences, 13(1), 23 pp. Journal Link. ArXiv Link.
S. Kilmer, C.M., and S. Senger (2023). Dot product chains . Combinatorial Number Theory: Proceedings of the Integers Conference 2023. De Gruyter. 183--198. Journal Link. ArXiv Link.
I. Łaba and C. Marshall (2022). Vanishing sums of roots of unity and the Favard length of self-similar product sets. Discrete Analysis, 19, 31 pp. Journal Link (Open Access).
Pre-Prints
C.M. (Submitted August 2026). Finite Good Witnesses for Generalized Curve Projections at the Rectifiable Endpoint. ArXiv Link.
P. Bright, R. Bongers, C.M., and K. Taylor. (Submitted August 2026) Applications of non-linear projections to rectifiable 1-sets. Arxiv Link.
C. M. (Submitted August 2026). Power Laws for the Favard length in Higher Dimensions. ArXiv Link (v2).
P. Bright and C.M. (Submitted April 2026). A continuum Erdos-Beck theorem. ArXiv Link.
Expository
C.M. (April 2026). The Favard Length Problem for Self-Similar Sets. Doctoral Dissertation, available at the UBC Library cIRcle repository. UBC cIRcle Link.
P. Bright, R. Bushling., C.M., and A. Ortiz (February 2024). A Study Guide to "Kaufman and Falconer estimates for radial projections". ArXiv Link.
C.M. (November 2021). A Field Guide for Hilbert Transforms... Master of Science Thesis, available at the UBC Library cIRcle repository. UBC cIRcle Link.