CORDIS Project
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This project explores model theory in mathematics, focusing on groups within non-independently axiomatizable theories. It aims to apply new methods to study topological dynamics and compute homology groups, enhancing the understanding of mathematical structures.
The project is in model theory (mathematical logic), with close connections to algebra, especially group theory.
Model theory concerns expressibility in logical languages of properties of mathematical structures (e.g. graphs or groups). A key notion is that of a `definable set' (generalising algebraic varieties).
Model theory identifies `tame' classes of structures/theories such as stable theories, or the much richer class of NIP theories in which definable sets are well-understood, and finds/a…
UNIVERSITY OF LEEDS
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