Mathematical Sciences: L-adic Studies of Stacks & Moduli

该奖项通过资助博士后研究员凯·贝伦德博士来支持罗伯特·麦克弗森教授的工作。贝伦德博士将继续成功地发展L的堆栈理论。他感兴趣的是开发痕量公式，并为那些已经建立的公式寻找进一步的应用。这是对代数几何领域的研究，代数几何是现代数学中最丰富的部分之一。在过去的25年里，代数几何取得了革命性的成就。最初，这种类型的几何处理的是可以在平面上由最简单的方程定义的图形，即多项式。如今，该领域研究最复杂的数学对象种类，不仅从代数，而且从分析和拓扑学的方法。也许是因为这种极端的普遍性，它在许多领域都得到了应用，比如物理学、理论计算机科学和机器人学。***

MacPherson This award supports the work of Prof. Robert MacPherson by funding a post-doctoral researcher, Dr. Kai Behrend. Dr. Behrend will continue his successful development of an l-adic theory of stacks. He is interested in developing trace formula and finding further applications for those that have already been established. This is research in the field of algebraic geometry, one of the richest parts of modern mathematics. Algebraic geometry has had a revolutionary flowering in the past quarter century. Originally this type of geometry dealt with figures that could be defined in the plane by the simplest equations, namely polynomials. Nowadays the field studies the most complicated kinds of mathematical object and makes use of methods not only from algebra, but from analysis and topology. Perhaps because of this extreme generality, it is finding application in many fields as diverse as in physics, theoretical computer science, and robotics. ***