We have research interests across a range of topics in logic, including:
Topological methods in Algebraic Logic (Marcus Tressl)
Connections between model theory, category theory and representation theory (Nicola Gambino, Omar Leon Sanchez, Marcus Tressl)
Stability theoretic methods in groups and fields (Vahagn Aslanyan, Omar Leon Sanchez)
Model theory of differential fields (Vahagn Aslanyan, Omar Leon Sanchez, Marcus Tressl)
Connections between model theory and group theory, with a special emphasis on groups of finite Morley rank and differential Galois theory (Omar Leon Sanchez, Marcus Tressl)
Model theory of ordered algebraic structures and real algebraic geometry (Gareth Jones, Marcus Tressl)
Model theory of valued fields (Philip Dittmann, Marcus Tressl)
O-minimal structures, and interactions between model theory and Diophantine geometry (Vahagn Aslanyan, Gareth Jones)
Model theory of classical special functions (Vahagn Aslanyan, Gareth Jones)
Type theory, especially homotopy type theory and univalent foundations, and computer-assisted proof-checking (Nicola Gambino)
Applications of higher-dimensional category theory to logic (Nicola Gambino)