Mathematical Sciences Research Equipment 1989

这是科学计算研究基金会的一笔拨款 该司数学科学方案的设备 国家科学基金会的数学科学。 该计划支持购买专用计算 专门用于研究的设备， 数学科学 该设备需要几个 研究项目，并将很难证明一个 项目独自。 国家科学基金会的支持是 再加上制造商的折扣和贡献， 由提交报告的机构分摊大量费用， 这个提议 该计划是学术，企业， 与政府合作，支持基础研究， 数学科学 该设备将用于支持几项研究 项目在数学系在大学 加州、洛杉矶： 超椭圆曲线，代数数的分布， 有限域上的算术和线性递归序列， 大卫康托指导;上同调群的确定 由圆锥曲线产生的Witt环及其确定 有限域上的椭圆曲线，理查德·埃尔曼; 偏差分算子的等谱变形， 导演：大卫吉泽克尔;最小自由决议 向量空间对称代数上的生成模， 由Mark绿色指导;代数数上的Galois群 《菲尔兹》（Fields），Murray Schacher导演。

This is a grant under the Scientific Computing Research Equipment for the Mathematical Sciences program of the Division of Mathematical Sciences of the National Science Foundation. This program supports the purchase of special purpose computing equipment dedicated to the conduct of research in the mathematical sciences. This equipment is required for several research projects and would be difficult to justify for one project alone. Support from the National Science Foundation is coupled with discounts and contributions from manufacturers and with substantial cost-sharing from the institutions submitting the proposal. This program is an example of academic, corporate, and government cooperation in the support of basic research in the mathematical sciences. This equipment will be used to support several research projects in the Department of Mathematics at the University of California, Los Angeles: Calculations in the Jacobians of Hyperelliptic Curves, Distribution of Algebraic Numbers, Arithmetic over Finite Fields, and Linear Recurrent Sequences, directed by David Cantor; Determination of Cohomology Groups Arising from Conic Curves and Determination of Witt Rings of Elliptic Curves over Finite Fields, directed by Richard Elman; Isospectral Deformations of Partial Difference Operators, directed by David Gieseker; Minimal Free Resolutions of Finitely Generated Modules over the Symmetric Algebra of a Vector Space, directed by Mark Green; and Galois Groups over Algebraic Number Fields, directed by Murray Schacher.