Mathematical Sciences: A Co-operative Program in Undergraduate Research at Hope and Calvin Colleges

本科生研究体验奖为霍普学院和加尔文学院联合运营的八名学生项目提供支持。这些机构的七名教员将监督数学和统计学不同领域的研究，包括分析、拓扑学、动力系统、几何和组合学。为了提供一个共同的活动，学生和教职员工将在第一年的课程期间举办一个关于多项式不变量和链接的研讨会。个别研究项目的例子包括有限格在递归可枚举度中的嵌入、与5x5和6x6对称矩阵相关的行列式环、连续函数空间上的乘法算子和以及动力系统的伪轨道跟踪。每个项目都适合进行计算实验和严格的数学分析。在项目的最后几周，学生们将展示他们的结果。将鼓励他们在学年期间继续学习，编写可发表的手稿，并寻找机会在地区数学会议上讨论他们的工作。

This Research Experiences for Undergraduates award provides support for an eight student project run jointly by Hope and Calvin Colleges. Seven faculty at these institutions will supervise research in diverse areas of mathematics and statistics including analysis, topology, dynamical systems, geometry and combinatorics. To provide a common activity, students and faculty will conduct a seminar on polynomial invariants and links during the term of the first year's program. Examples of individual research projects include the embedding of finite lattices in the recursively enumerable degrees, determinantal rings associated with 5x5 and 6x6 symmetric matrices, sums of multiplicative operators on spaces of continuous functions and pseudo-orbit shadowing of dynamical systems. Each project lends itself to computational experimentation and rigorous mathematical analysis. During the final weeks of the program, students will present their results. They will be encouraged to continue their studies during the academic year, develop publishable manuscripts and to seek opportunities to discuss their work at regional mathematics meetings.