| EPSRC Reference: |
EP/C515064/1 |
| Title: |
Coherent systems in genus 1 and genus 0 |
| Principal Investigator: |
Newstead, Professor PE |
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| Department: |
Mathematical Sciences |
| Organisation: |
University of Liverpool |
| Scheme: |
Mathematics Small Grant PreFEC |
| Starts: |
27 September 2004 |
Ends: |
26 December 2004 |
Value (£): |
3,259
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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Algebraic geometry is concerned with the solution of a certain type of systems of equations; these occur in many situations and potentially have many applications. For example, algebraic geometry is much used today in the construction of efficient codes for the accurate transmission of data. It is used also in robotics, since the equations governing the movement of robots are often of a type which is covered in algebraic geometry.Although the equations themselves may be quite simple, they are often very hard to solve and lead to very rich, but also very technical, mathematical structures.This proposal concerns a topic ( coherent systems ) which is currently attracting a good deal of attention, and is related to work in differential geometry and theoretical physics. I am a member of an international team working on this topic. Two years ago I started working with Professor Lange in Erlangen on a particular aspect of coherent systems (the case of genus 0 ). Last year Profesor Lange visited Liverpool for one month with EPSRC funding and we made a lot of progress on this problem and began extending the results to the next case ( genus 1 ). We plan to continue with the genus 1 case and to refine our results for genus 0 during the proposed visit.The successful conclusion of the project will have benefits for our Universities and for the wider mathematical community in the UK and Germany. Mathematics underlies many things in the life of our society and it is important that mathematical research should remain in a healthy condition. Our project will, in a small way, contribute to this.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.liv.ac.uk |