Caleb Marshall is a PhD student at University of British Columbia, advised by Dr. Izabella Łaba and Dr. Malabika Pramanik. Caleb is expected to graduate in 2025.

In this talk, Caleb discusses his results on dot product chains in finite point sets, Favard length estimates, and cyclotomic divisibility.

MSC2020: 05D05, 11C08, 28A80, 42A55

Keywords: Extremal Combinatorics, Quantitative Besicovitch Theorems, Cyclotomic Polynomials