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.
PublicationsZhang, 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).