| EPSRC Reference: |
EP/D057884/1 |
| Title: |
Noncommutative Iwasawa Theory and Explicit Reciprocity Laws |
| Principal Investigator: |
Scholl, Professor AJ |
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| Department: |
Pure Maths and Mathematical Statistics |
| Organisation: |
University of Cambridge |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
08 March 2006 |
Ends: |
07 May 2008 |
Value (£): |
28,056
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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We propose to study the arithmetic of elliptic curves and modular forms, through two powerful modern techniques - algebraic number theory and algebraic geometry. We hope that, amongst other things, our work will shed light on the Birch-Swinnerton-Dyer conjecture, one of the most mysterious and challenging unsolved problems in number theory, which is related to one of the oldest problems in mathematics - that of determining the possible values of the area of a right angled triangle, the lengths of all of whose sides are rational numbers.
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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 |
| Summary |
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| Date Materialised |
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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.cam.ac.uk |