EPSRC Reference: 
EP/I002294/1 
Title: 
Model theory, algebra, and differential equations 
Principal Investigator: 
Nijhoff, Professor FW 
Other Investigators: 

Researcher CoInvestigators: 

Project Partners: 

Department: 
Pure Mathematics 
Organisation: 
University of Leeds 
Scheme: 
Standard Research 
Starts: 
01 January 2011 
Ends: 
17 May 2014 
Value (£): 
408,941

EPSRC Research Topic Classifications: 
Logic & Combinatorics 
Mathematical Analysis 

EPSRC Industrial Sector Classifications: 
No relevance to Underpinning Sectors 


Related Grants: 

Panel History: 
Panel Date  Panel Name  Outcome 
12 May 2010

Mathematics Prioritisation Panel May 2010

Announced


Summary on Grant Application Form 
The project concerns applying ideas from model theory, a branch of mathematical logic, to the classification of differential equations. Model theory studies structures and definable sets. A structure in this sense is roughly speaking an underlying set or universe together with some collection of distinguished sets of ntuples from the set, for varying n. Many parts or objects of mathematics can be fruitfully studied as structures. Differential equations, on the other hand, are equations which describe the rate of change, for example, of some quantity, and they lie behind all of modern science and much of modern technology. The project involves roughly viewing the set of solutions of a differential equation as a structure in the sense of model theory, and attempting to classify or understand such equations via the tools of model theory.

Key Findings 
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Potential use in nonacademic contexts 
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Impacts 
Description 
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Summary 

Date Materialised 


Sectors submitted by the Researcher 
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Project URL: 

Further Information: 

Organisation Website: 
http://www.leeds.ac.uk 