| EPSRC Reference: |
EP/Z53352X/1 |
| Title: |
Higher-Order Stability Through the Regularity Lens |
| Principal Investigator: |
Wolf, Dr J |
| Other Investigators: |
|
| Researcher Co-Investigators: |
|
| Project Partners: |
|
| Department: |
Pure Maths and Mathematical Statistics |
| Organisation: |
University of Cambridge |
| Scheme: |
EPSRC Fellowship TFS |
| Starts: |
01 January 2025 |
Ends: |
31 December 2028 |
Value (£): |
1,166,286
|
| EPSRC Research Topic Classifications: |
| Fundamentals of Computing |
Logic & Combinatorics |
|
| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
|
|
| Related Grants: |
|
| Panel History: |
|
|
Summary on Grant Application Form |
|
The proposed project sits at the interface of combinatorics and model theory, two branches of pure mathematics that can be said to have their common origin in Ramsey's theorem dating back to the 1930s. In recent years, a powerful connection has emerged between regularity lemmas, a key tool in extremal and arithmetic combinatorics with far-reaching applications, and stability, a notion of tameness that has been central to model theory since the 1960s. The present project aims to fully explore and capitalise on the intricate relationship between higher-order generalisations of both regularity and stability, initiated in recent joint work of the applicant.
|
|
Key Findings |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Potential use in non-academic contexts |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Impacts |
|
| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
|
| Date Materialised |
|
|
|
|
Sectors submitted by the Researcher |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
| Project URL: |
|
| Further Information: |
|
| Organisation Website: |
http://www.cam.ac.uk |