IRES: Real Analysis Mathematics Opportunities for U.S. Undergraduates in Poland and the Czech Republic

这项面向学生的国际研究经验（IRES）活动将把明尼苏达州诺斯菲尔德圣奥拉夫学院的研究人员和导师与捷克西里西亚大学和波兰罗兹大学的同行联系起来。他们将合作开展一个项目，为美国本科生提供实际分析方面的国际研究经验。在美国方面，来自圣奥拉夫的联合首席研究员Paul Humke和Bruce Hanson将与西里西亚大学的Jaroslav Smital和波兰的Wladyslaw Wilczynski合作，管理一个为期10周的以团队为基础的方法，在实际分析中工作，作为一系列领域的博士研究的起点，包括集合论和逻辑。在每个接收机构，学生学者将被分配一个特定的导师，他将帮助选择一个合适的研究项目并监督他们的工作。共同的目标是通过指导、研讨会、座谈会以及对当前数学问题的频繁非正式讨论，将参与的本科生引入一个高度整合的合作研究小组。美国学生将由圣奥拉夫学院的教师为他们的国际经验做好准备，在欧洲期间，他们将继续与导师经常会面，参加研究和学习课程。IRES奖学金的真正价值将是学生在这些国际机构的集体研究生活中的学徒。这个在真实分析数学方面的IRES项目实现了培养全球科学家和工程师的计划目标，使美国和中欧的专家能够在一个共同感兴趣和能力很强的领域结合互补的人才，共享研究和教育资源。更广泛的影响包括通过在波兰和捷克机构的学习计划将美国本科生引入全球数学研究界，并直接参与其导师当前的研究。

This International Research Experience for Students (IRES) activity will link researchers and mentors at Saint Olaf College in Northfield, Minnesota, with counterparts at the Silesian University in the Czech Republic and the University of Lodz in Poland. Collaboratively they will carry out a program that provides international research experiences for U.S. undergraduate students in real analysis. On the U.S. side, co-principal investigators Paul Humke and Bruce Hanson from Saint Olaf will work with Jaroslav Smital at Silesian University, CR, and Wladyslaw Wilczynski in Poland to manage a ten week, team-based approach to work in real analysis as a spring board for doctoral research in a range of areas, including set theory and logic.At each host institution, the student scholars will be assigned a specific mentor who will help select an appropriate research project and oversee their work. The shared goal is to introduce the participating undergraduates to a highly integrated collaborative research group through mentoring, seminars, colloquia, and frequent informal discussions of current issues in mathematics. The U.S. students will be prepared by the faculty at St. Olaf for their international experience and when in Europe will continue by meeting frequently with mentors to follow a course of research and study. The real value of the IRES scholarship will be the students' apprenticeship in the collective research life of these international institutions. This IRES project in real analysis mathematics fulfills the program objective of developing global scientists and engineers by enabling experts in the United States and Central Europe to combine complementary talents and share research and education resources in an area of strong mutual interest and competence. Broader impacts include the introduction of U.S. undergraduate students to the global mathematics research community through a program of study at Polish and Czech institutions and direct involvement in their mentors' current research.