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Wildmod: Model Theory of Wild Structures
MSCA Research Fellowship funded by the UKRI
The UK Research & Innovation Horizon Europe Guarantee Scheme is funding (grant number EP/Y027833/1) the MSCA Postdoctoral Research Project number 101107014, "Wildmod".
Basic informations
- Hosting Organisation: School of Mathematics, University of Leeds
- Project Supervisor: Prof. Dugald MacPherson
- Duration of the project: 01/10/2023 - 30/09/2025
- Secondment in Münster University (WWU): 01/09/2024 - 30/11/2024 (provisional)
Research
This project investigates wild algebraic structures through two overlapping perspectives in model theory: a geometric approach and a positive logic approach. Model theory is a branch of mathematical logic that deals with definable sets (a generalisation of the notion of algebraic variety). It identifies deep notions of tameness which draw dividing lines among mathematical structures (e.g. groups, fields, graphs...). Tame structures (for instance stable structures) are the terrain of applications and connections between model theory and other areas (e.g. algebraic and diophantine geometry). This project intend to push the boundaries of tameness to structures previously considered wild but ripe for model-theoretic treatment.
