CORDIS Project
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This project investigates Diophantine equations through analytic number theory, aiming to determine when these equations have integer or rational solutions. It also addresses established problems in number theory using intermediary Diophantine equations to gain deeper insights.
This proposal sits at the interface of analytic number theory and selected topics, viewed through the prism of Diophantine equations defining higher-dimensional algebraic varieties. A core part of the proposal involves using analytic methods (such as complex analysis, Fourier analysis and additive combinatorics) to tackle a range of problems about Diophantine equations.
These include suchbasic questions as precisely when families of equations admit integer or rational solutions and, furthermor…
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