REU Site: Differential Geometry, Mathematical Physics, Mathematical Finance, and Mathematics Education

该奖项为康涅狄格大学的一个为期三年的本科生研究经验站点提供资金，该站点每年夏天为9名学生提供10周的资助。该项目吸引了不同群体的本科生在数学和数学教育的几个领域进行研究。该计划的主要目标是通过吸引本科生（主要来自非博士学位授予机构）参与产生可发表成果的研究，制作会议演讲和海报，并激励学生在数学，数学教育和其他数学密集型学科进行研究生学习和职业发展，为数学领域的人力资源发展做出贡献。本网站由美国国防部和美国国家科学基金会共同支持。具体项目每年都会有所不同。在纯数学和应用数学中，典型的项目将包括使用计算工具或动手组合论证来研究基本示例的性质，这些示例有望阐明理论的更大部分。课程主题将包括亚黎曼几何、随机过程、分形和无序介质的分析和数学物理、数学金融等问题。数学教育项目将根据学生的兴趣而有所不同，但预期的重点是创建和完善课程和教学工具，以支持学生构建，交流和批评数学论点，作为增强概念理解和实际定量推理的手段。除了研究经验之外，该项目还将让学生练习写作和展示他们的作品，教他们如何使用数学软件（例如Mathematica和Matlab）和数学写作软件（LATEX），并通过每周的系列研讨会让他们接触到广泛的数学主题。还将提供关于研究生院申请程序和科学研究中的伦理问题的讲习班。

This award provides funding for a three-year undergraduate research experience site at the University of Connecticut that supports nine students for ten weeks each summer. The project engages a diverse group of undergraduate students in research in several areas of mathematics and mathematics education. The main goal of this program is to contribute to the development of human resources in mathematical fields by engaging undergraduates, mostly from non-PhD-granting institutions, in research that yields publishable results, produces conference talks and posters, and inspires the students to pursue graduate studies and careers in mathematics, mathematics education, and other mathematically intensive disciplines. This site is supported by the Department of Defense in partnership with the National Science Foundation.Specific projects will vary from year to year. In pure and applied mathematics, typical projects will involve using computational tools or hands-on combinatorial arguments to investigate properties of basic examples that are expected to illuminate some larger part of the theory. Topics are expected to include problems from sub-Riemannian geometry, stochastic processes, analysis and mathematical physics on fractals and disordered media, and mathematical finance. Projects in mathematics education will vary depending on student interest, but the anticipated focus is on creating and refining curricular and pedagogical tools that support students in constructing, communicating, and critiquing mathematical arguments as a means of enhancing both conceptual understanding and practical quantitative reasoning. In addition to research experience, the program will give students practice in writing and presenting their work, teach them how to use software for mathematics (e.g. Mathematica and Matlab) and for writing mathematics (LATEX), and expose them to a broad range of mathematical topics through a weekly seminar series. Workshops on the graduate school applications process and ethical issues in scientific research will also be provided.