Mathematical Sciences: Number Theory and Algebraic Geometry

这项研究是在算术代数几何， 数论和代数几何之间的桥梁。 阿道夫森将继续他的研究指数和， 其相关的L函数。 赖特将继续他的研究 关于全局域的判别式的分布，关于 zeta函数的基本理论与表示和 在使用他的组合代码的边界， Maskit嵌入中一次穿孔环面的Teichmuller空间 证明了Bers关于尖点密度的猜想。 科格德尔会 研究预齐次zeta函数之间关系 类型和后变形式。 博士后助理由纪， 将学习几何不变理论，代数群， 新谷的zeta函数。

This research is in arithmetic algebraic geometry, the bridge area between number theory and algebraic geometry. Adolphson will continue his research on exponential sums and their associated L-functions. Wright will continue his research on the distribution of discriminants of global fields, on the basic theory of zeta functions associated to representations and on the use of his combinatorial code for the boundary of the Teichmuller space of once punctured tori in Maskit's embedding to prove Bers' conjecture on the density of cusps. Cogdell will investigate connections between zeta functions of prehomogeneous type and metaplectic forms. Yukie, the postdoctoral associate, will study geometric invariant theory, algebraic groups, and Shintani's zeta functions.