Research on Lensless Microscopy

该奖项支持研究教授P. Besffi工作在代数几何。 他将致力于研究超曲面奇点的问题。他希望找到一个新的公式麦克弗森的陈省身类和推广结果对偶的投影品种。他希望将其中的一些结果应用于研究图的组合问题。 这项研究是在代数几何领域，这是现代数学最古老的部分之一，但在过去的10年里，它已经发展到解决了几个世纪以来的问题。最初，它处理由最简单的方程，即多项式在平面上定义的图形。今天，该领域使用的方法不仅来自代数，而且来自分析和拓扑学，相反，它被广泛用于这些领域。 此外，它已被证明在物理学、理论计算机科学、密码学、编码理论和机器人学等不同领域都很有用。

This award supports the research of Professor P. Aluffi to work in algebraic geometry. He will work on problems deriving from the study of hypersurface singularities. He hopes to find a new formula for MacPherson's Chern class and to extend results on duality of projective varieties. He hopes to apply some of these results to the study of combinatorial questions on graphs. The research is in the field of algebraic geometry, one of the oldest parts of modern mathematics, but one which blossomed to the point where it has, in the past 10 years, solved problems that have stood for centuries. Originally, it treated figures defined in the plane by the simplest of equations, namely polynomials. Today, the field uses methods not only from algebra, but also from analysis and topology, and conversely it is extensively used in those fields. Moreover it has proved itself useful in fields as diverse as physics, theoretical computer science, cryptography, coding theory and robotics.