Research interests in Model Theory include model theoretic stability and simplicity theory, and algebraic model theory. There is particular interest in: exponential algebra, applications to number theory, transcendence questions (Dr J Kirby) and classification theory for unstable theories (Prof M Dzamonja).
Set Theory research is on combinatorial set theory and independence results (Dr D Aspero, Prof M Dzamonja and Dr C Morgan). Work is also done on interactions between set theory and other fields of mathematics, particularly set-theoretic model theory, topology and measure theory (Prof M Dzamonja and Dr C Morgan).
For details of potential PhD research topics in this area, please see Mathematics PhD Projects in Logic.