Mathematical Sciences: Non-Linear Problems in Differential Geometry and Mathematical Physics

大卫霍夫曼和乔尔斯普拉克将进行研究， 微分几何和数学中的各种问题 物理学 霍夫曼将研究适当嵌入的行为， 三维空间中的浸入极小曲面， 建立新的家庭的例子。将特别强调 建立在建筑方法的发展上， 例子，计算相关的问题，在这个问题上， 理解正确嵌入示例的全局行为 有限型和周期性的例子。 斯普拉克将研究大量的变分问题 在等离子体物理学和其他物理学中自然产生的约束 领域的将特别强调建设性的 解决方案的方法，适用于大型科学 计算他还将研究几个重要的几何 与他的半线性研究密切相关的问题 方程

David Hoffman and Joel Spruck will conduct research on a variety of problems in differential geometry and mathematical physics. Hoffman will study the behavior of properly embedded and immersed minimal surfaces in three dimensional space and construct new families of examples. Particular emphasis will be placed upon the development of methods of construction of examples, computation relevant to problems in the subject, and on understanding the global behavior of properly embedded examples of finite type and periodic examples. Spruck will study variational problems with a large number of constraints which arise naturally in plasma physics and other fields. Particular emphasis will be placed on constructive methods of solution that are suitable for large scientific computation. He will also study several important geometric problems which are strongly related to his research on semilinear equations.