Discipline: 
Mathematics
Status: 
Available
Level: 
PhD Project

In broad terms the research project is based on the study of latin squares and quasigroups. More specifically latin squares may be represented as complete tripartite graphs a presentation which leads to the study of triangular embedding in the plane. To date very little is known about these biembeddings and research in this area should focus on the development of general constructions for the biembedding of latin squares and the classification of these embeddings. This study will be closely associated with the study of latin trades and their applications to cryptography.