REU Site: HWS-REU: Discovering Mathematics in New York State

每年夏天，霍巴特和威廉·史密斯学院(HWS)的本科生研究体验项目(HWS)将为十名本科生提供数学研究的实践介绍。该项目将向全国各地的学生开放，重点是从纽约州的公立学院和大学招收不同类型的学生。在为期九周的计划过程中，参与者将获得作为研究人员的独立性，并发展向更广泛的科学界和公众展示他们的成果的技能。由学生组成的小型研究团队将在卫生与公众服务部教职员工的指导下，在这些领域的专家的指导下，从事各种数学领域的主题研究。此外，一系列座谈会和对附近研究生项目的访问将帮助参与者做出明智的决定，选择成为一名数学家。在整个项目中建立的师生关系将通过教职员工的正式报到将至少延长两年，以帮助学生的职业发展。研究项目将探索图论、代数或数学生物学的主题。在图论中，主题将包括完好覆盖图的某些子类的分类以及与优美树标记猜想相关的树标记问题。在代数中，单项理想将通过它们与组合结构(如图及其子图)的联系来探索。在数学生物学中，参与者可能致力于开发根据遗传数据重建系统发生树的新算法，使用微分方程式模型来探索病毒感染和对抗它们的免疫反应的动态相互作用，或者开发和分析大脑内神经连接网络的计算模型。

Each summer, the Research Experience for Undergraduates program at Hobart and William Smith Colleges (HWS) will provide ten undergraduates a hands-on introduction to mathematics research. The program will be open to students from across the nation, with a particular focus on recruiting a diverse pool of students from public colleges and universities in New York State. Over the course of the nine-week program, participants will gain independence as researchers and develop the skills to present their results to the broader scientific community and the public. Small research teams of students will be formed to pursue research on topics from a wide variety of mathematical fields under the guidance of HWS faculty members expert in these areas. Additionally, a colloquium series and visits to nearby graduate programs will help participants make informed decisions about pursuing a career as a mathematician. The faculty-student relationships built throughout the program will be extended at least two years beyond the REU through formal check-ins by faculty to assist students in career development. Research projects will explore topics in graph theory, algebra or mathematical biology. In graph theory, topics will include the classification of certain subclasses of well-covered graphs and tree labeling problems related to the graceful tree labeling conjecture. In algebra, monomial ideals will be explored through their connection to combinatorial structures such as graphs and their subgraphs. In mathematical biology, participants may work to develop novel algorithms for reconstructing phylogenetic trees from genetic data, use differential equation models to explore the dynamic interaction of viral infections and the immune responses that combat them, or develop and analyze computational models of networks of neural connections within the brain.