Topics in Algebraic Geometry and Number Theory

这个研究项目将解决两个经典数学领域之间的接口当前感兴趣的主题：代数几何和数论。潜在的研究方法包括热带几何的思想，特别是应用这一主题的新基础，以解决algebraicgeometry中的开放问题;或应用p-进解析几何来研究椭圆曲线和其他代数品种的L-函数的值。该项目涵盖了EPSRC的投资组合领域“数论”，“代数”和“几何与拓扑”，所有这些都在数学科学主题之内。

This research project will address topics of current interest at the interface between two classical mathematical fields: algebraic geometry and numbertheory. Potential research methods include ideas from tropical geometry, particularly applications of the new foundations of this subject to open problems in algebraicgeometry; or applications of p-adic analytic geometry to studying values of L-functions for elliptic curves and other algebraic varieties. This project spans the EPSRC portfolio areas "number theory", "algebra", and "geometry & topology", all lying within theMathematical Sciences theme.