Career Development Program at Stony Brook Mathematics Department

提出的研究是在黎曼几何的一般领域。更具体地说，提议者希望找到具有正和负截面曲率的黎曼流形的新例子，并研究与有限定理有关的各种问题；作者试图通过几何不变量如截面曲率和填充半径的值来识别黎曼流形。该项目由美国国家科学基金会CAREER计划支持，该计划强调全面和平衡的学术生涯发展，包括研究和教育。该提案中的教育计划旨在通过让学生在课堂上进行演讲和小组讨论来摆脱标准的讲座形式。

9502015 Wilhelm The proposed research lies in the general area of Riemannian geometry. More specifically, the proposer wishes to find new examples of Riemannian manifolds with positive and negative sectional curvature, and to study various questions related to finiteness theorems; the proposer seeks to identify Riemannian manifolds by means of values of geometric invariants such as sectional curvature and packing radius. This project is supported by the NSF's CAREER program, which emphasizes the development of full and balanced academic careers including both research and education. The education plan in this proposal aims to move away from the standard lecture format by having students give presentations in class and holding group discussions.