Broadly, my research falls in the area of determining how large a set has to be in order to avoid certain kinds of configurations. My work is in both Euclidean and local field settings.


Zhang, Guo-Quiang, Zhou, Xiangnan, Fraser, Robert , and Cui, Licong. Concatenation and Kleene Star on Deterministic Finite Automata. LICS, 2011.
Fraser, Robert. Kakeya-Type Sets in Local Fields with Finite Residue Field. Mathematika, volume 62, issue 02, pp. 614-629. Arxiv link.
Fraser, Robert, and Pramanik, Malabika. Large Sets Avoiding Patterns. Submitted. Arxiv link.
Fraser, Robert. Large Subsets of Local Fields Not Containing Configurations. Submitted. Local Copy(pdf).


Fraser, Robert and Hambrook, Kyle. An Explicit p-adic Salem Set. Given November 9, 2015. Notes from the Talk.