Mathematical Sciences: Geometric Problems of Crystal Growth and Equilibrum

该奖项将支持数学和材料研究 科学特别是，泰勒教授将研究 使表面能最小化的表面形状， 各种限制。这些表面的演变是 由表面的当前形状和位置确定， 涉及诸如流动性和表面能降低的因素。 表面能是如此的各向异性， 平衡是多面体特别感兴趣。 泰勒教授将继续研究这两个 晶体生长的数学和物理理论。她还将 继续开发计算机算法， 数学概念，并作为实验工具。使用 计算机实验作为理论发展的辅助手段， 这是这项研究的独特之处之一

This award will support research in mathematics and material science. In particular, Professor Taylor will investigate the shapes of surfaces which minimize surface energy subject to various constraints. The evolution of these surfaces is determined by the current shape and position of the surface and involves factors such as mobility and surface energy reduction. Surface energies which are so anisotropic that single crystals in equilibrium are polyhedra are of particular interest. Professor Taylor will continue to study both the mathematical and physical theory of crystal growth. She will also continue to develop computer algorithms which will illustrate the mathematical ideas and serve as an experimental tool. The use of computer experiments as an aid in the development of theory is one of the many unique aspects to the research.